Artificial compressibility method and lattice Boltzmann method: similarities and differences

DOI10.1016/J.CAMWA.2010.08.032zbMath1225.76238OpenAlexW2139143943MaRDI QIDQ645993

Daisuke Yabusaki, Pietro Asinari, Taku Ohwada

Publication date: 11 November 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.08.032

zbMATH Keywords

incompressible Navier-Stokes equationsasymptotic analysisacoustic wavelattice Boltzmannartificial compressibility method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Particle methods and lattice-gas methods (76M28) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (14)

Weakly compressible Navier-Stokes solver based on evolving pressure projection method for two-phase flow simulations ⋮ Gas-liquid two-phase flows simulation based on weakly compressible scheme with interface-adapted AMR method ⋮ On a two-relaxation-time D2Q9 lattice Boltzmann model for the Navier-Stokes equations ⋮ Hybrid thermal link-wise artificial compressibility method ⋮ Effect of artificial speed of sound in ACM, EDACM, and EMV for two-dimensional cavity flow ⋮ A three-dimensional high-order flux reconstruction lattice Boltzmann flux solver for incompressible laminar and turbulent flows ⋮ Artificial compressibility method using bulk viscosity term for an unsteady incompressible flow simulation ⋮ Parametrization of the cumulant lattice Boltzmann method for fourth order accurate diffusion. I: Derivation and validation ⋮ Link-wise artificial compressibility method ⋮ Mesoscopic methods in engineering and science ⋮ Lattice Boltzmann model approximated with finite difference expressions ⋮ Second-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equations ⋮ Numerical simulations of unsteady viscous incompressible flows using general pressure equation ⋮ Analysis of artificial pressure equations in numerical simulations of a turbulent channel flow

Cites Work

• Artificial compressibility method revisited: asymptotic numerical method for incompressible Navier-Stokes equations
• Connection between kinetic methods for fluid-dynamic equations and macroscopic finite-difference schemes
• Lattice Boltzmann model for the incompressible Navier-Stokes equation
• Multicomponent lattice-Boltzmann model with interparticle interaction
• A numerical method for solving incompressible viscous flow problems
• Asymptotic analysis of the lattice Boltzmann equation
• Momentum transfer of a Boltzmann-lattice fluid with boundaries
• Lattice BGK Models for Navier-Stokes Equation

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