Simulations of compressible flows with strong shocks by an adaptive lattice Boltzmann model

DOI10.1006/jcph.2000.6487zbMath0971.76074OpenAlexW2005650863MaRDI QIDQ1570332

Chenghai Sun

Publication date: 6 November 2001

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.2000.6487

zbMATH Keywords

compressible Navier-Stokes equationscompressible Euler equationsChapman-Enskog methodperfect gasesdiffusion termsviscous termshexagonal latticesstrong shocksadaptive lattice Boltzmann modeladaptive velocitiesBKG Boltzmann equationdouble Mach reflection testforward facing step test

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) Particle methods and lattice-gas methods (76M28)

Related Items (12)

The lattice Boltzmann method for nearly incompressible flows ⋮ Finite scale theory: predicting nature's shocks ⋮ Three-dimensional finite-difference lattice Boltzmann model and its application to inviscid compressible flows with shock waves ⋮ A moment conservation-based non-free parameter compressible lattice Boltzmann model and its application for flux evaluation at cell interface ⋮ A comparative study of the LBE and GKS methods for 2D near incompressible laminar flows ⋮ LATTICE BOLTZMANN MODEL FOR SIMULATING VISCOUS COMPRESSIBLE FLOWS ⋮ Development of a coupled simplified lattice Boltzmann method for thermal flows ⋮ A LATTICE BOLTZMANN METHOD-BASED FLUX SOLVER AND ITS APPLICATION TO SOLVE SHOCK TUBE PROBLEM ⋮ FLOW EFFECT AROUND TWO SQUARE CYLINDERS ARRANGED SIDE BY SIDE USING LATTICE BOLTZMANN METHOD ⋮ A hybrid FVM-LBM method for single and multi-fluid compressible flow problems ⋮ Multi-level lattice Boltzmann model on square lattice for compressible flows ⋮ A finite scale model for shock structure

Cites Work

• Multidimensional upwind methods for hyperbolic conservation laws
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Lattice Boltzmann models for heat transfer
• Exact stability results in stochastic lattice gas cellular automata.
• Gas-kinetic finite volume methods, flux-vector splitting, and artificial diffusion
• An Euler solver based on locally adaptive discrete velocities
• A new class of gas-kinetic relaxation schemes for the compressible Euler equations
• Multispecies 2D lattice gas with energy levels: Diffusive properties
• Lattice BGK Models for Navier-Stokes Equation
• LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
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