A blended first- and second-order vectorial lattice Boltzmann scheme with convex limiters provably preserves density and internal energy positivity in two-dimensional compressible Euler simulations.
Aregba-Driollet , Convergence of Lattice Boltzmann methods with overrelaxation for a nonlinear conservation law, ESAIM: Mathematical Modelling and Numerical Analysis, 58 (2024), pp
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A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions
A blended first- and second-order vectorial lattice Boltzmann scheme with convex limiters provably preserves density and internal energy positivity in two-dimensional compressible Euler simulations.