An Eulerian description of the streaming process in the lattice Boltzmann equation.

DOI10.1016/S0021-9991(02)00065-7zbMath1047.76106MaRDI QIDQ1873321

Ching-Long Lin, Taehun Lee

Publication date: 20 May 2003

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

zbMATH Keywords

Unstructured meshLattice Boltzmann equationImplicit scheme

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Particle methods and lattice-gas methods (76M28)

Related Items (45)

Finite volume TVD formulation of lattice Boltzmann simulation on unstructured mesh ⋮ A coupled two-relaxation-time lattice Boltzmann-volume penalization method for flows past obstacles ⋮ A spectral-element discontinuous Galerkin lattice Boltzmann method for simulating natural convection heat transfer in a horizontal concentric annulus ⋮ A nodal discontinuous Galerkin lattice Boltzmann method for fluid flow problems ⋮ Numerics of the lattice Boltzmann method on nonuniform grids: standard LBM and finite-difference LBM ⋮ Lattice Boltzmann methods in porous media simulations: from laminar to turbulent flow ⋮ Chebyshev collocation spectral lattice Boltzmann method in generalized curvilinear coordinates ⋮ Fluid flow around NACA 0012 airfoil at low-Reynolds numbers with hybrid lattice Boltzmann method ⋮ A matrix-free, implicit finite volume lattice Boltzmann method for steady flows ⋮ Implementation of a high-order compact finite-difference lattice Boltzmann method in generalized curvilinear coordinates ⋮ Evaluation of the finite element lattice Boltzmann method for binary fluid flows ⋮ An implicit block LU-SGS finite-volume lattice-Boltzmann scheme for steady flows on arbitrary unstructured meshes ⋮ A new splitting scheme to the discrete Boltzmann equation for non-ideal gases on non-uniform meshes ⋮ Rectangular lattice Boltzmann method using multiple relaxation time collision operator in two and three dimensions ⋮ A spectral-element discontinuous Galerkin lattice Boltzmann method for nearly incompressible flows ⋮ A hybrid wavelet-based adaptive immersed boundary finite-difference lattice Boltzmann method for two-dimensional fluid-structure interaction ⋮ Performance evaluation of the general characteristics based off-lattice Boltzmann scheme and DUGKS for low speed continuum flows ⋮ High order spectral difference lattice Boltzmann method for incompressible hydrodynamics ⋮ High-order upwind compact finite-difference lattice Boltzmann method for viscous incompressible flows ⋮ A finite-difference lattice Boltzmann method with second-order accuracy of time and space for incompressible flow ⋮ A coupled lattice Boltzmann-volume penalization for flows past fixed solid obstacles with local mesh refinement ⋮ A kinetic theory-based axisymmetric lattice Boltzmann flux solver for isothermal and thermal swirling flows ⋮ A conservation-moment-based implicit finite volume lattice Boltzmann method for steady nearly incompressible flows ⋮ Godunov-type upwind flux schemes of the two-dimensional finite volume discrete Boltzmann method ⋮ Fractional step two-phase flow lattice Boltzmann model implementation ⋮ Development of a three dimensional meshless numerical method for the solution of the Boltzmann equation on complex geometries ⋮ An Implicit Block LU-SGS Algorithm-Based Lattice Boltzmann Flux Solver for Simulation of Hypersonic Flows ⋮ Acceleration of lattice Boltzmann models through state extrapolation: a reaction-diffusion example ⋮ Simulation of a bubble rising at high Reynolds number with mass-conserving finite element lattice Boltzmann method ⋮ Diffuse bounce back condition for lattice Boltzmann method ⋮ Three time integration methods for incompressible flows with discontinuous Galerkin Boltzmann method ⋮ Lattice Boltzmann simulations on irregular grids: introduction of the NATriuM library ⋮ Analysis of the parametric models of passive scalar transport used in the lattice Boltzmann method ⋮ A lattice Boltzmann algorithm for calculation of the laminar jet diffusion flame ⋮ Acceleration of steady-state lattice Boltzmann simulations on non-uniform mesh using local time step method ⋮ A preconditioned lattice Boltzmann flux solver for steady flows on unstructured hexahedral grids ⋮ A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio ⋮ Simulation of turbulent flows with the entropic multirelaxation time lattice Boltzmann method on body-fitted meshes ⋮ Numerical stability of explicit off-lattice Boltzmann schemes: a comparative study ⋮ Steady state convergence acceleration of the generalized lattice Boltzmann equation with forcing term through preconditioning ⋮ A Nonlinearly Preconditioned Inexact Newton Algorithm for Steady State Lattice Boltzmann Equations ⋮ A lattice Boltzmann method for shock wave propagation in solids ⋮ An immersed boundary/multi-relaxation time lattice Boltzmann method on adaptive octree grids for the particle-resolved simulation of particle-laden flows ⋮ Application of Taylor series expansion and Least-squares-based lattice Boltzmann method to simulate turbulent flows ⋮ A novel high-order solver for simulation of incompressible flows using the flux reconstruction method and lattice Boltzmann flux solver

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some progress in lattice Boltzmann method. I: Nonuniform mesh grids
• Viscous flow past circular cylinders
• A novel thermal model for the lattice Boltzmann method in incompressible limit
• Lattice Boltzmann model for the incompressible Navier-Stokes equation
• On the finite difference-based lattice Boltzmann method in curvilinear coordinates
• Lattice Boltzmann method on curvilinear coordinates system: Flow around a circular cylinder
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• Simulation of cavity flow by the lattice Boltzmann method
• Stability analysis of lattice Boltzmann methods
• Lattice-gas cellular automata and lattice Boltzmann models. An introduction
• Stabilization of thermal lattice Boltzmann models
• A numerical study of steady viscous flow past a circular cylinder
• Implicit noniterative schemes for unsteady boundary layers
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
• Analysis of finite element schemes for convection‐type problems
• A general algorithm for compressible and incompressible flow—Part I. the split, characteristic‐based scheme
• The analysis of unsteady incompressible flows by a three‐step finite element method
• Systems of conservation laws
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
• A characteristic Galerkin method for discrete Boltzmann equation

This page was built for publication: An Eulerian description of the streaming process in the lattice Boltzmann equation.