• Schild Mathematik Ost
Mathematische Strömungsmechanik

Seminarreihe "structure preserving numerical methods for hyperbolic equations" im Oberseminar Mathematische Strömungsmechanik: François Dubois

An asymptotic expansion approach to the lattice Boltzmann method with applications to compressible Navier Stokes equations
Datum: 09.04.2021, 15:00 - 16:00 Uhr
Kategorie: Seminar, Veranstaltung
Vortragende*r: François Dubois

This talk is part of the seminar series "structure preserving numerical methods for hyperbolic equations", click here for more details 


We first recall some elements of history of the construction of lattice Boltzmann schemes. Then we present our “ABCD” approach, founded on the property that the numerical scheme is exact for the advection equation with the velocities of the lattice. This asymptotic analysis allows to write at several orders the conservative partial differential equations equivalent to the numerical scheme. A fit of parameters permits in favorable cases a precise approximation of compressible fluids equations.

via Zoom video conference (request the Zoom link from klingen@mathematik.uni-wuerzburg.de)