Wasilij BARSUKOW – Universität Zürich – Structure preserving methods for multi-dimensional hyperbolic PDEs
Wasilij Barsukow
IMCS, Universität Zürich
http://user.math.uzh.ch/barsukow/
Date(s) : 09/02/2021 iCal
11h00 - 12h00
Exact solutions to systems of conservation laws in multiple spatial dimensions often possess interesting additional properties which are a consequence of the equations and which can be formulated as PDEs. Examples are the evolution equations of vorticity or angular momentum, involutional constraints, stationary states or singular limits. Usually, the same numerical diffusion which renders a Finite Volume method stable, prevents it from preserving any of those additional properties. I will show strategies how to modify the numerical diffusion in order to obtain vorticity preserving and low Mach number compliant methods. This enables the numerical methods to capture essential properties of the equations without excessive grid refinement.
Emplacement
I2M Chateau-Gombert - CMI, Salle de Séminaire R164 (1er étage)
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