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4 papers
A vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes equations
Denise Aregba-Driollet, Thomas Bellotti, Roberto Natalini +1
We introduce a second-order accurate vectorial lattice Boltzmann scheme for the incompressible Navier-Stokes system, inspired by a discrete-velocity kinetic approximation proposed…
Convergence of a two-relaxation-times kinetic approximation towards the solution of a scalar conservation law
Denise Aregba-Driollet, Thomas Bellotti
We introduce a two-relaxation-times (TRT) kinetic approximation for scalar non-linear conservation laws in one space dimension, addressing the convergence of relaxation approximati…
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…