Kai Schneider Professor, Aix-Marseille Université Institut de Mathématiques de Marseille (I2M) @ Site de Saint Charles Aix-Marseille Université 3 place Victor Hugo, Case 19 13331 Marseille Cedex 3 FRANCE Tel : +33 4 13 55 14 89 Fax : +33 4 13 55 14 02
Equipe: ALEA: Signal and Image	New Google web-page Email : kai.schneider#univ-amu.fr

Book: M. Farge, H.K. Moffatt and K. Schneider (eds.), Fundamental Problems of Turbulence, EDP Sciences, 2014. pdf-file

New book: R. Deiterding, M. Domingues and K. Schneider (eds.), Cartesian CFD Methods for Complex Applications, Springer, 2021. pdf-file

International workshop on 'Multiscale methods for fluid and plasma turbulence :

Applications to magnetically confined plasmas in fusion devices',

21.4.-25.4. 2008, at CIRM, Marseille.

Thematic trimester 'Math & Iter', 31.8.-11.12.2009, at CIRM, Marseille.

International workshop on 'Immersed boundaries and fictitious domain methods: theory and applications'
30.8.-3.9.2010 , at CIRM, Marseille.

International Colloquium on 'Fundamental Problems of Turbulence (TCM 2011):
50 years after the Turbulence Colloquium Marseille 1961', 26.9.-30.9.2011, at CIRM, Marseille.

Turbulence Colloquium Mediterranea (TCM 2013):
How do we foresee the future of turbulence research? 5.9.-9.9.2013, Sidi Bou Said (Tunisia).

International workshop on 'Fusion energy: challenges and perspectives'
29.5.2017, at IMERA, Marseille.

Turbulence Colloquium on Mauna Kea (TCM 2017):
Recent Advances in Turbulence Research. 19.6.-23.6.2017, Waimea, Big Island (USA).

International Workshop on Wavelets & CFD
11.6.2019, Ecole Normale Superieure, Paris (France).

ANR project M2TFP (2005-2009)

ANR project SICOMHD (2011-2015)

ANR-DFG project AIFIT (2015-2020)

ANR project CM2E (2021-2025)

ANR-DFG project CVS-FIT (2024-2027)

Wavelets and turbulence home page

Position

since September 2000, Professor of Mechanics and Applied Mathematics (classe exceptionnelle since 2013), Aix-Marseille Université, Marseille (France)

Education

Dipl.-Math. techn., Universität Kaiserslautern (Germany), 1993

Dr. rer. nat. (summa cum laude), Universität Kaiserslautern (Germany), 1996

Habilitation, Université Louis Pasteur, Strasbourg (France), 2001

Citations on Google scholar

Papers on arXiv

ORCID

Preprints

• T. Maurel-Oujia, K. Matsuda and K. Schneider.
  Multiscale dynamics of inertial particles in turbulence with and without the effect of gravitational settling.
  Preprint, 04/2025.

• F.G. Jacobitz and K. Schneider.
  Scale-dependent analysis of the return to isotropy from anisotropic homogeneous turbulent shear flows originating from Batchelor and Saffman turbulence.
  Preprint, 01/2025, submitted.

• Z. Lin, B. Kadoch, S. Benkadda and K. Schneider.
  Multiscale geometrical Lagrangian statistics of heavy impurities in drift-wave turbulence.
  Plasma Physics and Controlled Fusion, 67, 045038, 2025. arXiv:2503.21532

• X.-Y. Yin, P. Krah, J.-C. Nave and K. Schneider.
  A Characteristic Mapping Method with source terms: applications to ideal magnetohydrodynamics.
  Preprint, 11/2024. arXiv:2411.13772

• G. Antar, K. Schneider, J. El Kuweiss, C. Habchi, and S. Benkadda.
  On the statistics of quasi-two-dimensional turbulence in the presence of a solid boundary.
  Preprint, 12/2024.

• Z. Lin, T. Maurel–Oujia, B. Kadoch, S. Benkadda and K. Schneider.
  Tessellation-based analysis of impurity clustering in the edge plasma of tokamaks.
  J. Plasma Phys., 91(1):E30, 2025. PDF-File arXiv:2409.19423

2024

• J. Bergmann, T. Maurel-Oujia, X.-Y. Yin, J.-C. Nave and K. Schneider.
  Singularity formation of vortex sheets in 2D Euler equations using the characteristic mapping method.
  Phys. Fluids, 36, 124126, 2024. PDF-File arXiv:2404.02008

• P. Krah, A. Marmin, B. Zorawski, J. Reiss and K. Schneider.
  A robust shifted proper orthogonal decomposition: Proximal methods for decomposing flows with multiple transports.
  SIAM J. Sci. Comput., 47(2), A633-A656, 2025. PDF-File arXiv:2403.04313

• K. Matsuda, K. Yoshimatsu and K. Schneider.
  Heavy particle clustering in inertial subrange of high-Reynolds number turbulence.
  Phys. Rev. Lett., 132, 234001, 2024. PDF-File arXiv:2406.03107

• T. Maurel-Oujia, S.S. Jain, K. Matsuda, K. Schneider, J.R. West and K. Maeda.
  Neural network models for preferential concentration of particles in two-dimensional turbulence.
  Theor. Comput. Fluid Dyn., 2024. PDF-File arXiv:2312.14829

• P. Krah, X.-Y. Yin, J. Bergmann, J.-C. Nave and K. Schneider.
  A Characteristic Mapping Method for Vlasov-Poisson with extreme resolution properties.
  Commun. Comput. Phys., 35(4):905-937, 2024. arXiv:2311.09379

• H. Wolf, N. Baldy, S. Pfeffer and K. Schneider.
  Geometrical multiscale tortuosity of desert ant walking trajectories.
  Journal of Experimental Biology, jeb. 247104, 2024. PDF-File
  

• T. Asaka, K. Yoshimatsu and K. Schneider.
  Machine learning-based vorticity evolution and superresolution of homogeneous isotropic turbulence using wavelet projection.
  Physics of Fluids, 36, 025120, 2024. PDF-File
  

• Z. Lin, T. Maurel-Oujia, B. Kadoch, P. Krah, N. Saura, S. Benkadda and K. Schneider.
  Synthesizing impurity clustering in the edge plasma of tokamaks using neural networks.
  Physics of Plasmas, 31, 032505, 2024. PDF-File
  

• F.G. Jacobitz and K. Schneider.
  Revisiting Taylor's hypothesis in homogeneous turbulent shear flow.
  Physical Review Fluids, 9, 044602, 2024. PDF-File
  

2023

• R.M. Pereira, N. Nguyen van yen, K. Schneider and M. Farge.
  Are adaptive Galerkin schemes dissipative?
  SIAM Review, 65(4), 1109-1134, 2023 (SIGEST Award Paper). PDF-File
  One-page writeup by the editors, PDF-File

• J. West, T. Maurel-Oujia, K. Matsuda, K. Schneider, S. Jain and K. Maeda.
  Clustering, rotation, and swirl of inertial particles in turbulent channel flow.
  International Journal of Multiphase Flow, 174, 104764, 2024. PDF-File
  

• T. Oujia, K. Matsuda and K. Schneider.
  Computing differential operators of the particle velocity in moving particle clouds using tessellations.
  J. Comput. Phys., 498:112658, 2023. PDF-File arXiv:2212.03580

2022

• K. Matsuda, K. Schneider, T. Oujia, J. West, S. S. Jain and K. Maeda.
  Multiresolution analysis of inertial particle tessellations for clustering dynamics.
  Center for Turbulence Research, Proceedings of the Summer Program 2022, Stanford University, 143-152, 2022. PDF-File

• T. Oujia, S. S. Jain, K. Matsuda, K. Schneider, J. West and K. Maeda.
  Neural networks for synthesizing preferential concentration of particles in isotropic turbulence.
  Center for Turbulence Research, Proceedings of the Summer Program 2022, Stanford University, 153-162, 2022. PDF-File

• J. West, T. Oujia, K. Matsuda, K. Schneider, S. S. Jain and K. Maeda.
  Divergence and curl of the inertial particle velocity in a four-way coupled turbulent channel flow.
  Center for Turbulence Research, Proceedings of the Summer Program 2022, Stanford University, 163-172, 2022. PDF-File

• O. Mendes, K. Schneider, M.O. Domingues, M. Farge, N.B. Trivedi, P. Frick and N. Nguyen van yen.
  Geomagnetically Induced Current Analyzed with Wavelet Extraction.
  Braz. J. Phys. , 52:192, 2022. PDF-File

• B. Kadoch, D. del-Castillo-Negrete, W.J.T. Bos and K. Schneider.
  Lagrangian conditional statistics and flow topology in edge plasma turbulence.
  Phys. Plasmas, 29(10) 102301, 2022. PDF-File arXiv:2205.07135

• T. Engels, H. Truong, M. Farge, D. Kolomenskiy and K. Schneider.
  Computational aerodynamics of insect flight using volume penalization.
  C. R. Mécanique, 350(S1), pp. 1-20, 2022. doi : 10.5802/crmeca.129. PDF-File

• R.M. Pereira, N. Nguyen van yen, K. Schneider and M. Farge.
  Adaptive solution of initial value problems by a dynamical Galerkin scheme.
  SIAM Multiscale Model. Simul., 20(3), 1147-1166, 2022. PDF-File arXiv:2111.04863

• J. G. Bautista, M. de la Llave Plata, V. Couaillier, M. Visonneau and K. Schneider.
  h-Adaptation for high-order Discontinuous Galerkin schemes built on local multiwavelet analysis.
  Comput. Fluids, 256:105844, 2023. PDF-File

• S. V. Apte, T. Oujia, K. Matsuda, B. Kadoch, X. He and K. Schneider.
  Clustering of inertial particles in turbulent flow through a porous unit cell.
  J. Fluid Mech., 937, A9, 2022. arXiv:2108.10366

• X.-Y. Yin, K. Schneider and J.-C. Nave.
  A Characteristic Mapping Method for the three-dimensional incompressible Euler equations.
  J. Comput. Phys., 477, 111876, 2023. arXiv:2107.03504

• H. Truong, T. Engels, H. Wehmann, D. Kolomenskiy, F. Lehmann and K. Schneider.
  An experimental data-driven mass-spring model of flexible Calliphora wings.
  Bioinspiration & Biomimetics, 17(2), 026003, 2022. PDF-File arXiv:2201.11509

2021

• R. Chahine, K. Schneider and W.J.T. Bos.
  The effect of shaping on turbulent dynamics in RFP simulations.
  J. Plasma Phys., 87(6), 905870608, 2021. PDF-File arXiv:2111.08790

• K. Matsuda, K. Schneider and K. Yoshimatsu.
  Scale-dependent statistics of inertial particle distribution in high Reynolds number turbulence.
  Phys. Rev. Fluids, 6, 064304, 2021. PDF-File arXiv:2007.09400

• A. Gomes, M. Domingues, O. Mendes and K. Schneider.
  Adaptive two- and three-dimensional multiresolution computations of resistive magnetohydrodynamics.
  Adv. Comput. Math., 47, 22, 2021. PDF-File

• F.G. Jacobitz and K. Schneider.
  Lagrangian and Eulerian Accelerations in Turbulent Stratified Shear Flows.
  Phys. Rev. Fluids, 6, 074609, 2021. PDF-File arXiv:2107.10221

2020

• P. Krah, T. Engels, K. Schneider and J. Reiss.
  Wavelet adaptive Proper Orthogonal Decomposition for large scale flow data.
  Adv. Comput. Math., 48, 10, 2022. PDF-File arXiv:2011.05016

• H. Truong, T. Engels, D. Kolomenskiy and K. Schneider.
  Influence of wing flexibility on the aerodynamic performance of a tethered flapping bumblebee.
  Theoretical and Applied Mechanics Letters, 10(6): 382-389, 2020. html-file PDF-File

• H. Truong, T. Engels, D. Kolomenskiy and K. Schneider.
  Fluid-structure interaction using volume penalization and mass-spring models with application to flapping bumblebee flight.
  Cartesian CFD Methods for Complex Applications, 3, 19-35, 2021. arXiv:2007.08892

• T. Oujia, K. Matsuda and K. Schneider.
  Divergence and convergence of inertial particles in high Reynolds number turbulence.
  J. Fluid Mech., 905, A14, 2020. PDF-File arXiv:2005.00525

• T. Engels, K. Schneider, J. Reiss and M. Farge.
  A wavelet-adaptive method for multiscale simulation of turbulent flows in flying insects.
  Commun. Comput. Phys., 30(4), 1118-1149, 2021. PDF-File arXiv:1912.05371

• X.-Y. Yin, O. Mercier, B. Yadav, K. Schneider and J.-C. Nave.
  A Characteristic Mapping Method for the two-dimensional incompressible Euler equations.
  J. Comput. Phys., 424, 109781, 2021. arXiv:1910.10841 PDF-File

• B. Kadoch, W.J.T. Bos and K. Schneider.
  On the efficiency of laminar and turbulent mixing in wall-bounded flows.
  Phys. Rev. E, 101, 043104, 2020. PDF-File Kaleidoscope

• H. Truong, T. Engels, D. Kolomenskiy and K. Schneider.
  A mass-spring fluid-structure interaction solver: application to flexible revolving wings.
  Comput. Fluids, 200, 104426, 2020. PDF-File arXiv:2002.08642

2019

• D. Kolomenskiy, S. Ravi, R. Xu, K. Ueyama, T. Jakobi, T. Engels, T. Nakata, J. Sesterhenn, M. Farge, K. Schneider, R. Onishi and H. Liu.
  Wing pitching rotation dynamics of bumblebees: morphology and inertial properties.
  J. Aero Aqua Bio-mechanisms, 8(1), 41-47, 2019. PDF-File

• M. Domingues, R. Deiterding, M. Lopes, A. Gomes, O. Mendes and K. Schneider.
  Wavelet-based parallel dynamic mesh adaptation for magnetohydrodynamics in the AMROC framework.
  Comput. Fluids, 190, 374-381, 2019. PDF-File

• D. Kolomenskiy, S. Ravi, R. Xu, K. Ueyama, T. Jakobi, T. Engels, T. Nakata, J. Sesterhenn, K. Schneider, R. Onishi and H. Liu.
  The dynamics of passive feathering rotation in hovering flight of bumblebees.
  J. Fluids Struc., 91, 102628, 2019. PDF-File

• T. Sakurai, K. Yoshimatsu, N. Okamoto and K. Schneider.
  Volume penalization for inhomogeneous Neumann boundary conditions modeling scalar flux in complicated geometry.
  J. Comput. Phys., 390, 452-469, 2019. PDF-File
  Corrigendum J. Comput. Phys., 443, 110497, 2021. PDF-File

• M. Lopes, M. Domingues, K. Schneider and O. Mendes.
  Local time-stepping for adaptive multiresolution using natural extension of Runge-Kutta methods.
  J. Comput. Phys., 382, 291-318, 2019. PDF-File

• T. Engels, D. Kolomenskiy, K. Schneider, M. Farge, F.O. Lehmann and J. Sesterhenn.
  The impact of turbulence on flying insects in tethered and free flight: high-resolution numerical experiments.
  Phys. Rev. Fluids, 4, 013103, 2019. PDF-File

2018

• A. Le, V. Roytershteyn, H. Karimabadi, A. Stanier, L. Chacon and K. Schneider.
  Wavelet methods for studying the onset of strong plasma turbulence.
  Phys. Plasmas, 25 122310, 2018. PDF-File arXiv:1812.01056

• Y. Sawamura, K. Yoshimatsu and K. Schneider.
  Numerical simulation of wall-bounded flows using a spectral method with volume penalization.
  ESAIM: Proceedings and Surveys, 63, 280-289, 2018. PDF-File

• D. Groselj, C. H. K. Chen, A. Mallet, R. Samtaney, K. Schneider and F. Jenko.
  Kinetic Turbulence in Astrophysical Plasmas: Waves and/or Structures?
  Phys. Rev. X, 9(3), 031037, 2019. PDF-File arXiv:1806.05741

• A. Gomes, M. Domingues, O. Mendes and K. Schneider.
  On the verification of adaptive three-dimensional multiresolution computations of the magnetohydrodynamic equations.
  Journal of Applied Nonlinear Dynamics, 7(3), 231-242, 2018. PDF-File

• M. Lopes, M. Domingues, O. Mendes and K. Schneider.
  An adaptive multiresolution scheme with second order local time-stepping for reaction-diffusion equations.
  Journal of Applied Nonlinear Dynamics, 7(3):287-295, 2018. PDF-File

• X. He, S. Apte, K. Schneider and B. Kadoch.
  Angular multiscale statistics of turbulence in a porous bed.
  Phys. Rev. Fluids, 3, 084501, 2018. PDF-File

• R. Deiterding, M. Domingues and K. Schneider.
  Multiresolution analysis as a criterion for effective dynamic mesh adaptation -
  A case study for Euler equations in the parallel SAMR framework AMROC.
  Comput. Fluids, 205, 104583, 2020. PDF-File hal-02616191

2017

• T. Engels, D. Kolomenskiy, K. Schneider and J. Sesterhenn.
  Numerical simulation of vortex-induced drag of elastic swimmer models.
  Theoretical and Applied Mechanics Letters, 7(5), 280-285, 2017. PDF-File

• M. Farge, N. Okamoto, K. Schneider and K. Yoshimatsu.
  Wavelet-based regularization of the Galerkin truncated three-dimensional incompressible Euler flows.
  Phys. Rev. E, 96, 063119, 2017. PDF-File arXiv:1711.04017

• N. Nguyen van yen, M. Waidmann, R. Klein, M. Farge and K. Schneider.
  Energy dissipation caused by boundary layer instability at vanishing viscosity.
  J. Fluid Mech., 849, 676-717, 2018. PDF-File arXiv:1706.00942

• M. Bassenne, J. Urzay, K. Schneider and P. Moin.
  Extraction of coherent clusters and grid adaptation in particle-laden turbulence using wavelet filters.
  Phys. Rev. Fluids, 2, 054301, 2017. PDF-File

• T. Engels, D. Kolomenskiy, K. Schneider, M. Farge, F.O. Lehmann and J. Sesterhenn.
  Helical vortices generated by flapping wings of bumblebees.
  Fluid Dynamics Research, 50, 011419, 2018. PDF-File

• D. Kolomenskiy, S. Ravi, T. Takabayashi, T. Ikeda, K. Ueyama, T. Engels, A. Fisher, H. Tanaka, K. Schneider, J. Sesterhenn and H. Liu.
  Added costs of insect-scale flapping flight in unsteady airflows.
  Preprint, 10/2016, arXiv:1610.09101. PDF-File

• B. Kadoch, W.J.T. Bos and K. Schneider.
  Directional change of fluid particles in two-dimensional turbulence and of football players.
  Phys. Rev. Fluids, 2, 064604, 2017. PDF-File
  
  Newsweek, 6/24/2017, Soccer Players or Turbulent Particles?
  New Scientist, 6/19/2017, Footballers move around pitch like chaotic particles in a fluid.

• T. Sakurai, K. Yoshimatsu, K. Schneider, M. Farge, K. Morishita and T. Ishihara.
  Coherent structure extraction in turbulent channel flow using boundary adapted wavelets.
  J. Turbulence, 18(4), 352-375, 2017. PDF-File arXiv:1607.04621

2016

• B. Kadoch, M. Bassenne, M. Esmaily-Moghadam, K. Schneider, M. Farge and W.J.T. Bos.
  Multi-scale geometrical Lagrangian statistics: Extensions and applications to particle-laden turbulent flows.
  Center for Turbulence Research, Proceedings of the Summer Program 2016, Stanford University, 53-62, 2016. PDF-File

• X. He, S. Apte, K. Schneider, B. Kadoch and M. Farge.
  Turbulence and inertial effects in a porous bed: DNS and flow analysis.
  Center for Turbulence Research, Proceedings of the Summer Program 2016, Stanford University, 63-72, 2016. PDF-File

• N. Okamoto, M. Domingues, K. Yoshimatsu and K. Schneider.
  Adaptive wavelet simulation of weakly compressible flow in a channel with a suddenly expanded section.
  ESAIM: Proceedings and Surveys, 53, 38-48, 2016. PDF-File

• B. Kadoch, T. Reimann, K. Schneider and M. Schäfer.
  Comparison of a spectral method with volume penalization and a finite volume method with body fitted grids for a turbulent flow.
  Comput. Fluids, 133, 140-150, 2016. PDF-File

• S. Ravi, D. Kolomenskiy, T. Engels, K. Schneider, C. Wang, J. Sesterhenn and H. Liu.
  Bumblebees minimize control challenges by combining active and passive modes in unsteady winds.
  Scientific Reports, 6:35043, 2016. PDF-File arXiv:1603.00221

• S.-B. Park, P. Gentine, K. Schneider and M. Farge.
  Coherent Structures in the Boundary and Cloud Layers: Role of Updrafts, Subsiding Shells, and Environmental Subsidence.
  J. Atmos. Sci., 73, 1789-1814, 2016. PDF-File

• F.G. Jacobitz, K. Schneider, W.J.T. Bos and M. Farge.
  Structure of sheared and rotating turbulence: Multiscale statistics of Lagrangian and Eulerian accelerations and passive scalar dynamics.
  Phys. Rev. E, 93, 013113, 2016. PDF-File

• T. Engels, D. Kolomenskiy, K. Schneider, F.O. Lehmann and J. Sesterhenn.
  Bumblebee flight in heavy turbulence.
  Phys. Rev. Lett., 116, 028103, 2016. PDF-File Suppl. material arXiv:1512.07614
  
  Physics Focus Süddeutsche Zeitung I, II, III. Deutsches Bienenjournal N24
  Der Hummelflug in Turbulenz.
  Physik in unserer Zeit, 47(3), 111-112, 2016. PDF-File

• R. Deiterding, M. Domingues, S. Gomes and K. Schneider.
  Comparison of adaptive multiresolution and adaptive mesh refinement applied to simulations of the compressible Euler equations.
  SIAM J. Sci. Comput., 38(5), S173-S193, 2016. PDF-File arXiv:1603.05211

• T. Engels, D. Kolomenskiy, K. Schneider and J. Sesterhenn.
  FluSI: A novel parallel simulation tool for flapping insect flight using a Fourier method with volume penalization.
  SIAM J. Sci. Comput., 38(5), S3-S24, 2016. PDF-File arXiv:1506.06513

• M. Farge and K. Schneider.
  Wavelet transforms and their applications to MHD and plasma turbulence: a review.
  J. Plasma Phys., 81(6), 435810602, 2015. PDF-File arXiv:1508:05650

• D. Kolomenskiy, M. Maeda, T. Engels, H. Liu, K. Schneider and J.-C. Nave.
  Aerodynamic ground effect in fruitfly sized insect takeoff.
  PLoS ONE, 11 (3): e0152072, 2016. PDF-File arXiv:1504.04484

2015

• K. Schneider.
  Immersed boundary methods for numerical simulation of confined fluid and plasma turbulence in complex geometries: a review.
  J. Plasma Phys., 81(6), 435810601, 2015. PDF-File arXiv:1508.04593

• J. Morales, W.J.T. Bos, K. Schneider and D.C. Montgomery.
  Magnetohydrodynamically generated velocities in confined plasma.
  Phys. Plasmas, 22, 042515, 2015. PDF-File Cover page

• O. Roussel and K. Schneider.
  Adaptive multiresolution computations applied to detonations.
  Z. Phys. Chem., 229(6), 931-953, 2015. PDF-File arXiv:1502.05235

• W.J.T. Bos, B. Kadoch and K. Schneider.
  Angular statistics of Lagrangian trajectories in turbulence.
  Phys. Rev. Lett., 114, 214502, 2015. PDF-File on hal PDF-File

• A. Gomes, M. Domingues, K. Schneider, O. Mendes and R. Deiterding.
  An adaptive multiresolution method for ideal magnetohydrodynamics using divergence cleaning with parabolic-hyperbolic correction.
  Appl. Num. Math., 95, 199-213, 2015. PDF-File

• T. Engels, D. Kolomenskiy, K. Schneider and J. Sesterhenn.
  Numerical simulation of fluid-structure interaction with the volume penalization method.
  J. Comput. Phys., 281, 96-115, 2015. PDF-File

• S.A. Ghaffari, S. Viazzo, K. Schneider and P. Bontoux.
  Simulation of forced deformable bodies interacting with two-dimensional incompressible flows: Application to fish-like swimming.
  International Journal of Heat and Fluid Flow, 51, 88-109, 2015. PDF-File PDF-File on hal

• D. Kolomenskiy, J.-C. Nave and K. Schneider.
  Adaptive gradient-augmented level set method with multiresolution error estimation.
  J. Sci. Comput., 66(1), 116-140, 2016. PDF-File arXiv:1401.7294

2014

• J. Morales, W.J.T. Bos, K. Schneider and D.C. Montgomery.
  The effect of toroidicity on Reversed Field Pinch dynamics.
  Plasma Phys. Control. Fusion, 56, 095024, 2014. PDF-File PDF-File on HAL

• M. Roberts, M. Leroy, J. Morales, W.J.T. Bos and K. Schneider.
  Self-organization of helically forced MHD flow in confined cylindrical geometries.
  Fluid Dyn. Res., 46, 061422, 2014. PDF-File

• J. Morales, M. Leroy, W.J.T. Bos and K. Schneider.
  Simulation of confined magnetohydrodynamic flows with Dirichlet boundary conditions using a pseudo-spectral method with volume penalization.
  J. Comput. Phys., 274, 64-94, 2014. PDF-File

• D. Kolomenskiy, Y. Elimelech and K. Schneider.
  Leading-edge vortex shedding from rotating wings.
  Fluid Dyn. Res., 46, 031421, 2014. PDF-File

• N. Okamoto, K. Yoshimatsu, K. Schneider and M. Farge.
  Small-scale anisotropic intermittency in magnetohydrodynamic turbulence at low magnetic Reynolds number.
  Phys. Rev. E, 89, 033013, 2014. PDF-File

• D. Kolomenskiy, R. Nguyen van yen and K. Schneider.
  Analysis and discretization of the volume penalized Laplace operator with Neumann boundary conditions.
  Appl. Num. Math., 95, 238-249, 2015. PDF-File on arxiv PDF-File

• K. Schneider, M. Paget-Goy, A. Verga and M. Farge.
  Numerical simulation of flows past flat plates using volume penalization.
  Computational and Applied Mathematics, 33(2), 481-495, 2014. PDF-File

• A. Salhi, F. Jacobitz, K. Schneider and C. Cambon.
  Nonlinear dynamics and anisotropic structure of rotating sheared turbulence.
  Phys. Rev. E, 89, 013020, 2014. PDF-File

2013

• D. Kolomenskiy, T. Engels and K. Schneider.
  Numerical Modelling of Flexible Heaving Foils.
  Journal of Aero Aqua Bio-mechanisms, 3(1), 22-28, 2013. PDF-File

• R. Pereira, R. Nguyen van yen, M. Farge and K. Schneider.
  Wavelet methods to eliminate resonances in the Galerkin-truncated Burgers and Euler equations.
  Phys. Rev. E, 87, 033017, 2013. PDF-File on arxiv PDF-File

• T. Engels, D. Kolomenskiy, K. Schneider and J. Sesterhenn.
  Two-dimensional simulation of the fluttering instability using a pseudospectral method with volume penalization.
  Comput. Struct., 122, 101-113, 2013. PDF-File

• J.A. Morales, W.J.T. Bos, K. Schneider and D.C. Montgomery.
  Intrinsic rotation of toroidally confined magnetohydrodynamics.
  Phys. Rev. Lett., 109, 175002, 2012. PDF-File

• R. Nguyen van yen, D. Kolomenskiy and K. Schneider.
  Approximation of the Laplace and Stokes operators with Dirichlet boundary conditions through volume penalization: a spectral viewpoint.
  Numer. Math., 128:301-338, 2014. PDF-File, PDF-File on arXiv

• F. Jacobitz, K. Schneider, W.J.T. Bos and M. Farge.
  On Helical Multiscale Characterization of Homogeneous Turbulence.
  J. Turbulence, 13, No. 35, 2012. PDF-File

• M. Farge, K. Schneider, O. Pannekoucke and R. Nguyen van yen.
  Multiscale representations: fractals, self-similar random processes and wavelets.
  Handbook of Environmental Fluid Dynamics, Volume Two (H.J. Fernando), 311-332, 2013. PDF-File Preprint

• M. O. Domingues, A. K. F. Gomes, S. M. Gomes, O. Mendes, B. Di Pierro and K. Schneider.
  Extended generalized Lagrangian multipliers for magnetohydrodynamics using adaptive multiresolution methods.
  ESAIM Proc., 43, 95-107, 2013. PDF-File.
  

2012

• M. Wilczek, B. Kadoch, K. Schneider, R. Friedrich and M. Farge.
  Conditional vorticity budget of coherent and incoherent flow contributions in fully developed homogeneous isotropic turbulence.
  Phys. Fluids, 24, 035108, 2012. PDF-File

• B. Kadoch, D. Kolomenskiy, Ph. Angot and K. Schneider.
  A volume penalization method for incompressible flows and scalar advection-diffusion with moving obstacles.
  J. Comput. Phys., 231, 4365-4383, 2012. PDF-File

• K. Yoshimatsu, N. Okamoto, Y. Kawahara, K. Schneider and M. Farge.
  Coherent Vorticity and Current Density Simulation of Three-Dimensional
  Magnetohydrodynamic Turbulence using Orthogonal Wavelets.
  Geophysical and Astrophysical Fluid Dynamics, 107(1-2), 73-92, 2013. PDF-File

• J.X. Sheng, A. Ysasi, D. Kolomenskiy, E. Kanso, M. Nitsche and K. Schneider.
  Simulating vortex wakes of flapping plates.
  IMA Volume on Natural Locomotion in Fluids and on Surfaces: Swimming, Flying, and Sliding, Vol. 155, Part 2, 255-262, 2012. PDF-File

• R. Nguyen van yen, N. Fedorczak, F. Brochard, G. Bonhomme, K. Schneider, M. Farge and P. Monier-Garbet.
  Tomographic reconstruction of tokamak edge turbulence light emission from a single image using wavelet-vaguelette decomposition.
  Nucl. Fusion, 52, 013005, 2012. PDF-File Cover page

• R. Bürger, R. Ruiz, K. Schneider and H. Torres.
  A multiresolution method for the numerical simulation of sedimentation in inclined channels.
  Int. J. Numer. Anal. Model., 9(3), 479-504, 2012. PDF-File

2011

• R. Nguyen van yen, M. Farge and K. Schneider.
  Energy dissipating structures produced by walls in two-dimensional flows at vanishing viscosity.
  Phys. Rev. Lett. , 106, 184502, 2011. PDF-File Cover page

• B. Kadoch, W.J.T. Bos and K. Schneider.
  The influence of walls on Lagrangian statistics in two-dimensional turbulence.
  Phys. Fluids, 23, 085111, 2011. PDF-File Cover page

• K. Yoshimatsu, K. Schneider, N. Okamoto, Y. Kawahura and M. Farge.
  Intermittency and geometrical statistics of three-dimensional homogeneous magnetohydrodynamic turbulence: A wavelet viewpoint.
  Phys. Plasmas, 18, 092304, 2011. PDF-File

• D. Kolomenskiy, H.K. Moffatt, M. Farge and K. Schneider.
  Two- and three-dimensional numerical simulations of the clap-fling-sweep of hovering insects.
  J. Fluids Struct., 27, 784-791, 2011. PDF-File

• N. Okamoto, K. Yoshimatsu, K. Schneider, M. Farge and Y. Kaneda.
  Coherent vortex simulation of three-dimensional decaying homogeneous isotropic turbulence.
  SIAM Multiscale Model. Simul., 9(3), 1144-1161, 2011. PDF-File.

• F. Jacobitz, K. Schneider, W.J.T. Bos and M. Farge.
  Influence of initial mean helicity in homogeneous turbulent shear flow.
  Phys. Rev. E, 84, 056319, 2011. PDF-File

• R. Nguyen van yen, M. Farge and K. Schneider.
  Scalewise coherent vorticity extraction for conditional statistical modeling of homogeneous isotropic two-dimensional turbulence.
  Physica D, 241(3), 186-201, 2012. PDF-File.

• B. Kadoch, K. Iyer, D. Donzis, K. Schneider, M. Farge and P.K. Yeung.
  On the role of vortical structures for turbulent mixing using direct numerical simulation
  and wavelet-based coherent vorticity extraction.
  J. Turbulence, 12, No.20, 2011. PDF-File.

• G. Khujadze, R. Nguyen van yen, K. Schneider, M. Oberlack and M. Farge.
  Coherent vorticity extraction in turbulent boundary layers using orthogonal wavelets.
  Proceedings of the 2010 Summer Program, Center for Turbulence Research,
  NASA Ames and Stanford University, 87-96, 2011. PDF-File

• M. Domingues, S. Gomes, O. Roussel and K. Schneider.
  Adaptive multiresolution methods.
  ESAIM Proc., 34, 1-96, 2011. PDF-File.
  

• N. Okamoto, K. Yoshimatsu, K. Schneider and M. Farge.
  Directional and scale-dependent statistics of quasi-static magnetohydrodynamic turbulence.
  ESAIM Proc., 32, 95-102, 2011. PDF-File.
  

• R. Nguyen van yen, B. Kadoch, V. Kumar, B. Ménétrier, M. Farge, K. Schneider, D. Douady and L. Guez.
  Influence of waves on Lagrangian acceleration in two-dimensional turbulent flows.
  ESAIM Proc., 32, 231-241, 2011. PDF-File.
  

• R. Nguyen van yen, E. Sonnendrücker, K. Schneider and M. Farge.
  Particle-in-wavelets scheme for the 1D Vlasov-Poisson equations.
  ESAIM Proc., 32, 134-148, 2011. PDF-File.
  

• B. Kadoch, D. del-Castillo-Negrete, W.J.T. Bos and K. Schneider.
  Lagrangian statistics and flow topology in forced two-dimensional turbulence.
  Phys. Rev. E, 83, 036314, 2011. PDF-File.

• K. Schneider, S. Neffaa and W.J.T. Bos.
  A pseudo-spectral method with volume penalisation for magnetohydrodynamic turbulence in confined domains.
  Comput. Phys. Comm., 182(1), 2-7, 2011. PDF-File.

• S. Futatani, W.J.T. Bos, D. del-Castillo-Negrete, K. Schneider, S. Benkadda and M. Farge.
  Coherent vorticity extraction in resistive drift-wave turbulence:
  Comparison of orthogonal wavelets versus proper orthogonal decomposition.
  C. R. Physique, 12(2), 123-131, 2011. PDF-File.

• D. Kolomenskiy, H.K. Moffatt, M. Farge and K. Schneider.
  The Lighthill — Weis-Fogh clap-fling-sweep mechanism revisited.
  J. Fluid Mech., 676, 572-606, 2011. PDF-File.

2010

• B. Kadoch, W.J.T. Bos and K. Schneider.
  Origin of Lagrangian intermittency in drift-wave turbulence.
  Phys. Rev. Lett., 105, 145001, 2010. PDF-File.

• W.J.T. Bos, S. Neffaa and K. Schneider.
  Self-organization and symmetry-breaking in two-dimensional plasma turbulence.
  Phys. Plasmas, 17, 092302, 2010. PDF-File.

• F. Jacobitz, K. Schneider, W.J.T. Bos and M. Farge.
  On the structure and dynamics of sheared and rotating turbulence:
  Anisotropy properties and geometrical scale-dependent statistics.
  Phys. Fluids, 22, 085101, 2010. PDF-File.

• E. Deriaz, M. Farge and K. Schneider.
  Craya decomposition using compactly supported biorthogonal wavelets.
  Appl. Comput. Harm. Anal., 28, 267-284, 2010. PDF-File.

• R. Bürger, R. Ruiz and K. Schneider.
  Adaptive multiresolution methods for the simulation of waves in excitable media.
  J. Sci. Comput., 43, 262-290, 2010. PDF-File.

• W.J.T. Bos, B. Kadoch, S. Neffaa and K. Schneider.
  Lagrangian dynamics of drift-wave turbulence.
  Physica D, 239, 1269-1277, 2010. PDF-File.

• K. Schneider and O. Vasilyev.
  Wavelet methods in computational fluid dynamics.
  Annu. Rev. Fluid Mech., 42, 473-503, 2010. PDF-File.

• O.Roussel and K. Schneider.
  Coherent Vortex Simulation of weakly compressible turbulent mixing layers using adaptive multiresolution methods.
  J. Comput. Phys., 229(6), 2267-2286, 2010. PDF-File.

• R. Nguyen van yen, D. del Castilo-Negrete, K. Schneider, M. Farge and G.Y. Chen.
  Wavelet-based density estimation for noise reduction in plasma simulation using particles.
  J. Comput. Phys., 229(8), 2821-2839, 2010. PDF-File.

• D. Kolomenskiy and K. Schneider.
  Numerical simulations of falling leaves using a pseudo-spectral method with volume penalization.
  Theor. Comput. Fluid Dyn., 24(1-4), 169-173, 2010. PDF-File.

• D. Kolomenskiy, H. K. Moffatt, M. Farge and K. Schneider.
  Vorticity generation during the clap-fling-sweep of hovering insects.
  Theor. Comput. Fluid Dyn., 24(1-4), 209-215, 2010. PDF-File.

2009

• B. Kadoch, M. Domingues, I. Broemstrup, L. Larcheveque, K. Schneider and M. Farge.
  Coherent vortex extraction in 3D homogeneous isotropic turbulence: Influence of the Reynolds number and geometrical statistics.
  Braz. J. Phys., 39(2), 531-538, 2009.

• R. Nguyen van yen, M. Farge and K. Schneider.
  Wavelet regularization of a Fourier-Galerkin method for solving the 2d incompressible Euler equations.
  ESAIM Proc., 29, 89-107, 2009. PDF-File.
  

• R. Deiterding, M. Domingues, S. Gomes, O. Roussel and K. Schneider.
  Adaptive multiresolution or adaptive mesh refinement ? A case study for 2D Euler equations.
  ESAIM Proc., 29, 28-42, 2009. PDF-File.
  

• K. Yoshimatsu, Y. Kondo, K. Schneider, N. Okamoto, H. Hagiwara and M. Farge.
  Wavelet based coherent vorticity sheet and current sheet extraction from three-dimensional homogeneous magnetohydrodynamic turbulence.
  Phys. Plasmas, 16, 082306, 2009. PDF-File.

• W.J.T. Bos, B. Kadoch, K. Schneider and J.P. Bertoglio.
  Inertial range scaling of the scalar flux spectrum in two-dimensional turbulence.
  Phys. Fluids, 21, 115105, 2009. PDF-File. Cover page

• D. Kolomenskiy and K. Schneider.
  A Fourier spectral method for the Navier-Stokes equations with volume penalization for moving solid obstacles.
  J. Comput. Phys., 228, 5687-5709, 2009. PDF-File.

• W. J. T. Bos, S. Neffaa and K. Schneider.
  Rapid generation of angular momentum in bounded magnetized plasma.
  Phys. Rev. Lett., 101, 235003, 2008. PDF-File.

• K. Yoshimatsu, N. Okamoto, K. Schneider, Y. Kaneda and M. Farge.
  Intermittency and scale-dependent statistics in fully developed turbulence.
  Phys. Rev. E, 79, 026303, 2009. PDF-File.

• M. Bendahmane, R. Bürger, R. Ruiz and K. Schneider.
  Adaptive multiresolution schemes with local time stepping for two-dimensional degenerate reaction-diffusion systems.
  Appl. Num. Math., 59, 1668-1692, 2009. PDF-File.

• M. Domingues, O. Roussel and K. Schneider.
  An adaptive multiresolution method for parabolic PDEs with time-step control.
  Int. J. Numer. Meth. Engng. 78, 652-670, 2009. PDF-File.

• S. Neffaa, W. J. T. Bos and K. Schneider.
  The decay of magnetohydrodynamic turbulence in confined domains.
  Phys. Plasmas, 15, 092304, 2008. PDF-File.

• M. Domingues, S. Gomes, O. Roussel and K. Schneider.
  Space-Time adaptive multiresolution methods for hyperbolic conservation
  laws: Applications to compressible Euler equations.
  Appl. Num. Math. 59, 2303-2321, 2009. PDF-File.

2008

• B. Kadoch, W. J. T. Bos and K. Schneider.
  Extreme Lagrangian acceleration in confined turbulent flow.
  Phys. Rev. Lett., 100, 184503, 2008. PDF-File.

• W. J. T. Bos, S. Futatani, S. Benkadda, M. Farge and K. Schneider.
  The role of coherent vorticity for turbulent transport in resistive drift-wave turbulence.
  Phys. Plasmas, 15, 072304, 2008. PDF-File.

• R. Bürger, R. Ruiz, K. Schneider and M. Sepulveda.
  Fully adaptive multiresolution schemes for strongly degenerate parabolic PDEs in one space dimension.
  M2AN Math. Model. Numer. Anal., 42, 535-563, 2008. PDF-File.

• K. Schneider and M. Farge.
  Final states of decaying 2D turbulence: influence of the geometry.
  Physica D, 237, 2228-2233, 2008. PDF-File.

• F. Jacobitz, L. Liechtenstein, K. Schneider and M. Farge.
  On the structure and dynamics of sheared and rotating turbulence:
  Direct numerical simulation and wavelet based coherent vortex extraction.
  Phys. Fluids, 20(4), 045103 (13 pages), 2008. PDF-File.

• R. Nguyen van yen, M. Farge, D. Kolomenskiy, K. Schneider and N. Kingsbury.
  Wavelets meet Burgulence: CVS-filtered Burgers equation.
  Physica D, 237, 2151-2157, 2008. PDF-File.

• M. Domingues, S. Gomes, O. Roussel and K. Schneider.
  An adaptive multiresolution scheme with local time-stepping for evolutionary PDEs.
  J. Comput. Phys., 227, 3758-3780, 2008. PDF-File.

• R. Bürger, R. Ruiz, K. Schneider and M. Sepulveda.
  Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux.
  J. Eng. Math., 60, 365-385, 2008. PDF-File.

2007

• W. J. T. Bos, L. Liechtenstein and K. Schneider.
  Small scale intermittency in anisotropic turbulence.
  Phys. Rev. E, 76, 046310, 2007. PDF-File.

• G.H. Keetels, U. d'Ortona, W. Kramer, H.J.H. Clercx, K. Schneider and G.J.F. van Heijst.
  Fourier spectral and wavelet solvers for the incompressible Navier-Stokes equations with volume penalization:
  convergence of a dipole-wall collision.
  J. Comput. Phys., 227, 919-945, 2007.

• N. Okamoto, K. Yoshimatsu, K. Schneider, M. Farge and Y. Kaneda.
  Coherent vortices in high resolution direct numerical simulation of homogeneous
  isotropic turbulence : A wavelet viewpoint.
  Phys. Fluids, 19, 115109, 1-13, 2007. PDF-File

• S. Gassama, E. Sonnendrücker, K. Schneider, M. Farge and M. Domingues.
  Wavelet denoising for postprocessing of a 2D Particle - In - Cell code.
  ESAIM: Proc., Vol. 16, 195-210, 2007. PDF-File

• M. Domingues, O. Roussel and K. Schneider.
  On space-time adaptive schemes for the numerical solution of partial differential equations.
  ESAIM: Proc., Vol. 16, 181-194, 2007. PDF-File

• E. Deriaz, M. Domingues, V. Perrier, K. Schneider and M. Farge.
  Divergence-free Wavelets for Coherent Vortex Extraction in 3D homogeneous isotropic turbulence.
  ESAIM: Proc., Vol. 16, 146-163, 2007. PDF-File

• M. Domingues, I. Broemstrup, K. Schneider, M. Farge and B. Kadoch.
  Coherent vortex extraction in 3D homogeneous isotropic turbulence using orthogonal wavelets.
  ESAIM: Proc., Vol. 16, 164-180, 2007. PDF-File

• M. Farge, J. Lewalle and K. Schneider.
  Wavelet transforms. Section D.6.1.
  Handbook of Experimental Fluid Mechanics
  (Eds. C. Tropea, A. Yarin and J.F. Foss),
  Springer, 1378-1395, 2007.

2006

• K. Schneider, M. Farge, A. Azzalini and J. Ziuber.
  Coherent vortex extraction and simulation of 2d isotropic turbulence.
  J. Turbulence, 7 (44), 1-24, 2006. PDF-File

• O. Roussel and K. Schneider.
  Numerical studies of spherical flame structures interacting with adiabatic walls using an adaptive multiresolution scheme.
  Combust. Theory Modelling, 10(2), 273-288, 2006.

• M. Farge, K. Schneider and P. Devynck.
  Extraction of coherent events in turbulent edge plasma using orthogonal wavelets.
  Phys. Plasmas, 13, 042304, 2006. PDF-File

• M. Farge and K. Schneider.
  Foreword for the special issue on `Large Eddy Simulation, Coherent Vortex Simulation and Vortex Methods' dedicated to the memory of Joel Ferziger.
  J. Turbulence, 7 (42), 1-2, 2006.

• O. Roussel and K. Schneider.
  Adaptive numerical simulation of pulsating planar flames for large Lewis and Zeldovich ranges.
  Comm. Nonlin. Sci. Num. Sim., 11, 463-480, 2006.

• M. Farge and K. Schneider.
  Wavelets: applications to turbulence.
  Encyclopedia of Mathematical Physics (Eds. J.-P. Françoise, G. Naber and T.S. Tsun), Elsevier, 408-419, 2006.

• K. Schneider and M. Farge.
  Wavelets: mathematical theory.
  Encyclopedia of Mathematical Physics (Eds. J.-P. Françoise, G. Naber and T.S. Tsun), Elsevier, 426-437, 2006.

2005

• K. Schneider and M. Farge.
  Decaying two-dimensional turbulence in a circular container.
  Phys. Rev. Lett., 95, 244502, 2005. PDF-File

• K. Schneider.
  Numerical simulation of the transient flow behaviour in chemical reactors using a penalisation method.
  Comput. Fluids, 34, 1223-1238, 2005. PDF-File

• K. Schneider, M. Farge, G. Pellegrino, and M. Rogers.
  Coherent vortex simulation of 3D turbulent mixing layers using orthogonal wavelets.
  J. Fluid Mech., 534, 39-66, 2005. PDF-File

• A. Paccou, G. Chiavassa, J. Liandrat and K. Schneider.
  A penalization method applied to the wave equation.
  C. R. Mécanique, 333(1), 79-85, 2005.

• A. Azzalini, M. Farge and K. Schneider.
  Nonlinear wavelet thresholding: A recursive method to determine the optimal denoising threshold.
  Appl. Comput. Harm. Anal., 18 (2), 177-185, 2005. PDF-File

• O. Roussel and K. Schneider.
  Adaptive multiresolution method for combustion problems: Application to flame ball-vortex interaction.
  Comput. Fluids, 34 (7), 817-831, 2005.

• K. Schneider and M. Farge.
  Numerical simulation of the transient flow behaviour in tube bundles using a volume penalisation method.
  J. Fluids Struct., 20 (4), 555-566, 2005. PDF-File

• O. Roussel, K. Schneider and M. Farge.
  Coherent vortex extraction in 3D homogeneous turbulence: comparison between orthogonal and biorthogonal wavelet decompositions.
  J. Turbulence, 6 (11), 1-15, 2005. PDF-File

• O. Roussel, K. Schneider and H. Bockhorn.
  Numerical investigations on premixed spherical flames for Lewis numbers larger than unity.
  Microgravity Sci. Technol., 17 (3), 99-105, 2005. PDF-File

• K. Schneider et al.
  Instabilities in lean-gas phase combustion.
  Topical Teams in the Life & Physical Sciences.
  Towards New Research Applications in Space (Ed. A. Wilson), European Space Agency, 108-113, 2005. PDF-File

2004

• G. Perret, M. Farge, A. Stegner, A. Azzalini and K. Schneider.
  Rotating shallow water flow past an obstacle: numerical and laboratory experiments.
  In Shallow Flows, Eds. G.H. Jirka and W.S.J. Uijttewaal, Taylor and Francis, 137-142, 2004. PDF-file

• K. Schneider, M. Farge and N.K.R. Kevlahan.
  Spatial intermittency in two-dimensional turbulence: a wavelet approach.
  In Woods Hole Mathematics: Perspectives in Mathematics and Physics, 34, World Scientific, 302-328, 2004. PDF-file

2003

• M. Farge, K. Schneider, G. Pellegrino, A.A. Wray and R.S. Rogallo.
  Coherent vortex extraction in three-dimensional homogeneous turbulence: Comparison between CVS-wavelet and POD-Fourier decompositions.
  Phys. Fluids, 15(10), 2886-2896, 2003. PDF-File

• C. Beta, K. Schneider, and M. Farge.
  Wavelet filtering to study mixing in 2D isotropic turbulence.
  Comm. Nonlin. Sci. Num. Sim., 8(3-4), 537-545, 2003. PDF-File

• O. Roussel, K. Schneider, A. Tsigulin and H. Bockhorn.
  A conservative fully adaptive multiresolution algorithm for parabolic PDEs.
  J. Comput. Phys., 188(2), 493-523, 2003. PDF-File

• C. Beta, K. Schneider, M. Farge and H. Bockhorn.
  Numerical study of mixing of passive and reactive scalars in two-dimensional turbulent flows using orthogonal wavelet filtering.
  Chem. Eng. Sci., 58(8), 1463-1477, 2003.

• W. Gerlinger, K. Schneider, J. Fröhlich and H. Bockhorn.
  Numerical simulations on the stability of spherical flame structures.
  Combust. Flame, 132(1-2), 247-271, 2003.

2002

• B. Protas, K. Schneider and M. Farge.
  Geometrical alignment properties in Fourier-and wavelet-filtered statistically stationary two-dimensional turbulence.
  Phys. Rev. E, 66(4), 046307, 2002. PDF-file

• C. Beta, K. Schneider, M. Farge and H. Bockhorn.
  Numerische Simulationen von Mischung und chemischer Reaktion mit Spektralverfahren unter Verwendung von Waveletfiltern.
  Chem. Ing. Tech., 74(10), 1441-1444, 2002.

• K. Schneider and M. Farge.
  Adaptive wavelet simulation of a flow around an impulsively started cylinder using penalisation.
  Appl. Comput. Harm. Anal., 12(3), 374-380, 2002. PDF-file

2001

• M. Farge, G. Pellegrino and K. Schneider.
  Coherent vortex extraction in 3D turbulent flows using orthogonal wavelets.
  Phys. Rev. Lett., 87(5), 054501, 2001. PDF-file

• M. Farge and K. Schneider.
  Coherent vortex simulation (CVS), a semi-deterministic turbulence model using wavelets.
  Flow, Turb. Combust., 66(4), 393-426, 2001. PDF-File

• M. Farge and K. Schneider.
  Analysing and computing turbulent flows using wavelets.
  In New trends in turbulence Turbulence: nouveaux aspects, Springer, 449-504, 2001.

2000

• W. Gerlinger, K. Schneider, L. Falk and H. Bockhorn.
  Numerical simulation of the mixing of passive and reactive scalars in two-dimensional flows dominated by coherent vortices.
  Chem. Eng. Sci., 55(19), 4255-4269, 2000.

• K. Schneider and M. Farge.
  Numerical simulation of a mixing layer in an adaptive wavelet basis.
  C. R. Acad. Sci. Paris, Series IIB-Mechanics-Physics-Astronomy, 328(3), 263-269, 2000.

• M. Farge, K. Schneider, G. Pellegrino, A.A. Wray and R.S. Rogallo.
  CVS decomposition of 3D homogeneous turbulence using orthogonal wavelets.
  Proceedings of the 2000 Summer Program, Center for Turbulence Research,
  NASA Ames and Stanford University, 305-317, 2000. PDF-File

• K. Schneider, M. Farge, G. Pellegrino, A.A. Wray and M. Rogers.
  CVS filtering of 3D turbulent mixing layers using orthogonal wavelets.
  Proceedings of the 2000 Summer Program, Center for Turbulence Research,
  NASA Ames and Stanford University, 319-330, 2000. PDF-File

• W. Gerlinger, K. Schneider and H. Bockhorn.
  Direct numerical simulation of mixing and turbulence in two-dimensional flow.
  Chem. Ing. Techn., 72(6), 618-621, 2000.

• W. Gerlinger, K. Schneider and H. Bockhorn.
  Numerical simulation of three-dimensional instabilities of spherical flame structures.
  Proc. Combust. Inst., 28(1), 793-799, 2000.

1999

• J. Fröhlich and K. Schneider.
  Computation of decaying turbulence in an adaptive wavelet basis.
  Physica D, 134(3), 337-361, 1999.

• M. Farge, N.K.R. Kevlahan and K. Schneider.
  Non-Gaussianity and coherent vortex simulation for two-dimensional turbulence using an adaptive orthogonal wavelet basis.
  Phys. Fluids, 11(8), 2187-2201, 1999.

• H. Bockhorn, J. Fröhlich and K. Schneider.
  An adaptive two-dimensional wavelet-vaguelette algorithm for the computation of flame balls.
  Combust. Theor. Model., 3(1), 177-198, 1999.

• H. Bockhorn, W. Gerlinger, K. Schneider and J. Ziuber.
  Simulation and analysis of mixing in two-dimensional turbulent flows using Fourier and wavelet techniques.
  Scientific Computing in Chemical Engineering II, Springer, 344-351, 1999.

• H. Bockhorn, J. Fröhlich, W. Gerlinger, K. Schneider.
  Direct Numerical Simulation of three-dimensional flame balls.
  Scientific Computing in Chemical Engineering II, Springer, 102-109, 1999.

• M. Farge, N.K.R. Kevlahan, C. Bardos and K. Schneider.
  Combining deterministic and statistical approaches to compute two-dimensional turbulent flows with walls.
  In Fundamental Problematic Issues in Turbulence, Birkhäuser 163-174, 1999.

• M. Farge, N.K.R. Kevlahan, V. Perrier and K. Schneider.
  Turbulence analysis, modelling and computing using wavelets.
  Wavelets in Physics, Cambridge University Press, 117-200, 1999.

1998

• M. Farge, K. Schneider and N.K.R. Kevlahan.
  Coherent structure eduction in wavelet-forced two-dimensional turbulent flows.
  In IUTAM Symposium on Dynamics of slender vortices, Springer, 65-83, 1998.

• K. Schneider and M. Farge.
  Wavelet approach for modelling and computing turbulence.
  Lecture series-van Karman Institute for fluid dynamics, 5, F1-F133, 1998.

1997

• K. Schneider and M. Farge.
  Wavelet forcing for numerical simulation of two-dimensional turbulence.
  C. R. Acad. Sci. Paris, Series IIB-Mechanics-Physics-Chemistry-Astronomy, 325(5), 263-270, 1997.

• K. Schneider, N.K.R. Kevlahan and M. Farge.
  Comparison of an adaptive wavelet method and nonlinearly filtered pseudospectral methods for two-dimensional turbulence.
  Theor. Comput. Fluid Dyn., 9(3), 191-206, 1997.

• J. Fröhlich and K. Schneider.
  An adaptive wavelet–vaguelette algorithm for the solution of PDEs.
  J. Comput. Phys., 130(2), 174-190, 1997.

1996

• J. Fröhlich and K. Schneider.
  Numerical simulation of decaying turbulence in an adaptive wavelet basis.
  Appl. Comput. Harm. Anal., 3(4), 393-397, 1996.

• R. von Sachs and K. Schneider.
  Wavelet smoothing of evolutionary spectra by nonlinear thresholding.
  Appl. Comput. Harm. Anal., 3(3), 268-282, 1996. PDF-File

1995

• J. Fröhlich and K. Schneider.
  A fast algorithm for lacunary wavelet bases related to the solution of PDEs.
  CR Math. Rep. Acad. Sci. Canada., 17(6), 283-286, 1995. PDF-File

1994

• J. Fröhlich and K. Schneider.
  An adaptive wavelet Galerkin algorithm for one- and two-dimensional flame computations.
  European Journal of Mechanics, B/Fluids., 13, 439-471, 1994. PDF-File

April 12, 2025. Copyright Kai Schneider © .