An implicit block LU-SGS finite-volume lattice-Boltzmann scheme for steady flows on arbitrary unstructured meshes

DOI10.1016/j.jcp.2016.09.038zbMath1373.76255OpenAlexW2523713824MaRDI QIDQ1674507

Li-Shi Luo, Weidong Li

Publication date: 25 October 2017

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2016.09.038

zbMATH Keywords

lattice Boltzmann equationfinite-volume methodlow-Mach number flowsfully implicit schemeblock LU-symmetric-Gauss-Seidelviscous and inviscid steady flows

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Particle methods and lattice-gas methods (76M28)

Related Items (10)

A gas-kinetic BGK scheme for the finite volume lattice Boltzmann method for nearly incompressible flows ⋮ A matrix-free, implicit finite volume lattice Boltzmann method for steady flows ⋮ An implicit high-order radial basis function-based differential quadrature-finite volume method on unstructured grids to simulate incompressible flows with heat transfer ⋮ High order spectral difference lattice Boltzmann method for incompressible hydrodynamics ⋮ An implicit dual-time stepping spectral difference lattice Boltzmann method for simulation of viscous compressible flows on structured meshes ⋮ Time-Accurate Solution of Unsteady Flows in an Implicit Solver Using Block LUSGS Method ⋮ A conservation-moment-based implicit finite volume lattice Boltzmann method for steady nearly incompressible flows ⋮ An Implicit Block LU-SGS Algorithm-Based Lattice Boltzmann Flux Solver for Simulation of Hypersonic Flows ⋮ Three time integration methods for incompressible flows with discontinuous Galerkin Boltzmann method ⋮ Lattice Boltzmann simulations on irregular grids: introduction of the NATriuM library

Cites Work

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• Implementation of a high-order compact finite-difference lattice Boltzmann method in generalized curvilinear coordinates
• Preconditioned methods for solving the incompressible and low speed compressible equations
• Discretization and numerical schemes for steady kinetic model equations
• A Gaussian quadrature procedure for use in the solution of the Boltzmann equation and related problems
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Grid refinement for lattice-BGK models
• Lattice Boltzmann method on curvilinear coordinates system: Flow around a circular cylinder
• Discrete-velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries
• An Eulerian description of the streaming process in the lattice Boltzmann equation.
• A Fast, Matrix-free Implicit Method for Computing Low Mach Number Flows on Unstructured Grids
• A Fully Implicit Method for Lattice Boltzmann Equations
• An extrapolation method for boundary conditions in lattice Boltzmann method
• A numerical study of steady viscous flow past a circular cylinder
• Numerical solutions of the nonlinear model Boltzmann equations
• Encyclopedia of Applied and Computational Mathematics
• Finite Volume Lattice Boltzmann Method for Nearly Incompressible Flows on Arbitrary Unstructured Meshes
• Numerical solutions for steady flow past a circular cylinder at Reynolds numbers up to 100

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