Quebec Mathematical Sciences Colloquium

March 19, 2021 from 15:00 to 16:00 (Montreal/EST time)

ABCD asymptotic expansion for lattice Boltzmann schemes and application to compressible Navier Stokes equations

Colloquium presented by François Dubois (Le CNAM - Paris, Member of IRL-CRM CNRS)

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.