A LIMITER BASED ON KINETIC THEORY

DOI10.1081/TT-120015511zbMath1127.82323OpenAlexW2082483349MaRDI QIDQ4794385

Axel Klar, Michael Junk, Mapundi Kondwani Banda

Publication date: 17 February 2003

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/tt-120015511

zbMATH Keywords

Asymptotic analysisKinetic equationsIncompressible Euler equationLow Mach number limitSecond order upwind discretizationSlope limiter

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Particle methods and lattice-gas methods (76M28) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (1)

Kinetic-based numerical schemes for incompressible Navier-Stokes equations

Cites Work

• Relaxation scheme for a lattice-Boltzmann-type discrete velocity model and numerical Navier-Stokes limit
• Kinetic schemes in the case of low Mach numbers
• A cell-centered adaptive projection method for the incompressible Euler equations
• A second-order projection method for the incompressible Navier-Stokes equations
• Performance of under-resolved two-dimensional incompressible flow simulations
• New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
• Curvature-compensated convective transport: SMART, A new boundedness- preserving transport algorithm
• Diffusive Relaxation Schemes for Multiscale Discrete-Velocity Kinetic Equations
• Numerical Schemes for Hyperbolic Systems of Conservation Laws with Stiff Diffusive Relaxation
• LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
• Convergence of Convective–Diffusive Lattice Boltzmann Methods
• A Numerical Method for the Incompressible Navier-Stokes Equations Based on an Approximate Projection
• Accuracy of the lattice Boltzmann method for small Knudsen number with finite Reynolds number

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