2025/05/10 by Seyed Ali Hosseini, Hosseini, S. A., I. V. Karlin +1
Engineering · #Computational Fluid Dynamics and Aerodynamics #Lattice Boltzmann Simulation Studies #Advanced Numerical Methods in Computational Mathematics
paper · pdf · doi:10.48550/arxiv.2505.06697
We present a novel discrete velocity kinetic framework to consistently recover the viscous shallow water equations. The proposed model has the following fundamental advantages and novelties: (a) A novel interpretation and general framework to introduce forces, (b) the possibility to consistently split pressure contributions between equilibrium and a force-like contribution, (c) consistent recovery of the viscous shallow water equations with no errors in the dissipation rates, (d) independent control over bulk viscosity, and (e) consistent second-order implementation of forces. As shown through a variety of different test cases, these features make for an accurate and stable solution method for the shallow-water equations.