Three time integration methods for incompressible flows with discontinuous Galerkin Boltzmann method

DOI10.1016/j.camwa.2018.03.015zbMath1419.65070OpenAlexW2794637124MaRDI QIDQ2001291

Weidong Shao, Jun Li

Publication date: 3 July 2019

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.03.015

zbMATH Keywords

incompressible flowsnodal discontinuous Galerkin methodstiff termstime integration methodslattice-BGK Boltzmann equation

Mathematics Subject Classification ID

Particle methods and lattice-gas methods (76M28) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Boltzmann equations (35Q20) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items

Impact of collision models on the physical properties and the stability of lattice Boltzmann methods, An implicit dual-time stepping high-order nodal discontinuous Galerkin method for solving incompressible flows on triangle elements, A novel high-order solver for simulation of incompressible flows using the flux reconstruction method and lattice Boltzmann flux solver

Cites Work

• An interpretation and derivation of the lattice Boltzmann method using strang splitting
• Spectral-element discontinuous Galerkin lattice Boltzmann simulation of flow past two cylinders in tandem with an exponential time integrator
• A spectral-element discontinuous Galerkin lattice Boltzmann method for nearly incompressible flows
• Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
• Finite volume TVD formulation of lattice Boltzmann simulation on unstructured mesh
• Block-implicit multigrid solution of Navier-Stokes equations in primitive variables
• On the finite difference-based lattice Boltzmann method in curvilinear coordinates
• A family of low dispersive and low dissipative explicit schemes for flow and noise computations.
• A nodal discontinuous Galerkin lattice Boltzmann method for fluid flow problems
• An implicit block LU-SGS finite-volume lattice-Boltzmann scheme for steady flows on arbitrary unstructured meshes
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• An Eulerian description of the streaming process in the lattice Boltzmann equation.
• Viscosity of finite difference lattice Boltzmann models.
• Simulation of cavity flow by the lattice Boltzmann method
• Accuracy of discrete-velocity BGK models for the simulation of the incompressible Navier-Stokes equations
• Accurate partial difference methods. II: Non-linear problems
• Implicit-explicit schemes for BGK kinetic equations
• Strong Stability-Preserving High-Order Time Discretization Methods
• High-order finite elements applied to the discrete Boltzmann equation
• Lattice BGK Models for Navier-Stokes Equation
• Discontinuous Galerkin spectral element lattice Boltzmann method on triangular element
• Numerical study of flow past an impulsively started cylinder by the lattice-Boltzmann method
• A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
• High-resolution simulations of the flow around an impulsively started cylinder using vortex methods
• Unstructured lattice Boltzmann method in three dimensions
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item