Wasilij BARSUKOW – Universität Zürich – Structure preserving methods for multi-dimensional hyperbolic PDEs

Wasilij Barsukow
IMCS, Universität Zürich

Date(s) : 09/02/2021   iCal
11 h 00 min - 12 h 00 min

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.

Site Nord, CMI, Salle de Séminaire R164 (1er étage)


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