Improvement of computational efficiency of circular function-based gas kinetic scheme by using Jacobian-free Newton-Krylov method

DOI10.1016/J.COMPFLUID.2017.11.017zbMath1390.76796OpenAlexW2768758045MaRDI QIDQ1645418

Zhiliang Lu, Di Zhou, Tongqing Guo

Publication date: 28 June 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2017.11.017

zbMATH Keywords

preconditioncomputational efficiencyNewton-Krylov methodcircular functiongas-kinetic schemeJacobian-free approach

Mathematics Subject Classification ID

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 (2)

A Three-Dimensional Gas-Kinetic BGK Scheme for Simulating Flows in Rotating Machinery ⋮ Development of a moving reference frame-based gas-kinetic BGK scheme for viscous flows around arbitrarily moving bodies

Uses Software

• Spalart-Allmaras

Cites Work

• Circular function-based gas-kinetic scheme for simulation of inviscid compressible flows
• The kinetic scheme for the full-Burnett equations
• A simple distribution function-based gas-kinetic scheme for simulation of viscous incompressible and compressible flows
• The equilibrium flux method for the calculation of flows with non- equilibrium chemical reactions
• Solution of the multidimensional compressible Navier-Stokes equations by a generalized implicit method
• A fast, matrix-free implicit method for compressible flows on unstructured grids
• Low-speed flow simulation by the gas-kinetic scheme
• Numerical hydrodynamics from gas-kinetic theory
• Kinetic flux vector splitting for Euler equations
• Numerical Navier-Stokes solutions from gas kinetic theory
• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• A high-resolution procedure for Euler and Navier-Stokes computations on unstructured grids
• An implicit gas kinetic BGK scheme for high temperature equilibrium gas flows on unstructured meshes
• Thermal lattice Boltzmann flux solver and its application for simulation of incompressible thermal flows
• CFD high-order accurate scheme Jacobian-free Newton Krylov method
• A multidimensional gas-kinetic BGK scheme for hypersonic viscous flow
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• Gas-kinetic finite volume methods, flux-vector splitting, and artificial diffusion
• Development of an improved gas-kinetic BGK scheme for inviscid and viscous flows
• Progress in gas-kinetic upwind schemes for the solution of Euler/Navier-Stokes equations. I: Overview
• Implicit gas-kinetic BGK scheme with multigrid for 3D stationary transonic high-Reynolds number flows
• Explicit formulations of gas-kinetic flux solver for simulation of incompressible and compressible viscous flows
• Implicit unified gas-kinetic scheme for steady state solutions in all flow regimes
• A high-order accurate unstructured finite volume Newton-Krylov algorithm for inviscid compressible flows
• A high-order gas-kinetic Navier-Stokes flow solver
• Applications of implicit BGK scheme in near-continuum flow
• Hybrid Krylov Methods for Nonlinear Systems of Equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• A kinetic theory solution method for the Navier–Stokes equations
• A Switch Function-Based Gas-Kinetic Scheme for Simulation of Inviscid and Viscous Compressible Flows
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
• A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method

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