44 citations · 83 across the 13 of their papers we have counts for
4 papers · 1 filter
Perfectly transparent boundary conditions and wave propagation in lattice Boltzmann schemes
Thomas Bellotti
Systems of N = 1, 2, . . . first-order hyperbolic conservation laws feature N undamped waves propagating at finite speeds. On their own hand, multi-step Finite Difference and latti…
Stability of lattice Boltzmann schemes for initial boundary value problems in raw formulation
Thomas Bellotti
We study the stability of one-dimensional linear lattice Boltzmann schemes for scalar hyperbolic equations with respect to boundary data. Our approach is based on the original raw…
Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes
Denise Aregba-Driollet, Thomas Bellotti
The concept of equilibrium is a general tool to fill the gap between macroscopic and mesoscopic information, both within kinetic systems and kinetic schemes. This work explores the…
Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law
Denise Aregba-Driollet, Thomas Bellotti
We address the convergence analysis of lattice Boltzmann methods for scalar non-linear conservation laws, focusing on two-relaxation-times (TRT) schemes. Unlike Finite Difference/F…