An efficient high-order finite difference gas-kinetic scheme for the Euler and Navier-Stokes equations

DOI10.1016/j.compfluid.2018.01.026zbMath1390.76638OpenAlexW2789787226WikidataQ130198650 ScholiaQ130198650MaRDI QIDQ1649750

Li-Jun Xuan, Kun Xue

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.2018.01.026

zbMATH Keywords

finite-differencehigh-orderWENO reconstructiongas-kinetic scheme

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Particle methods and lattice-gas methods (76M28) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (4)

Kinetic theory based multi-level adaptive finite difference WENO schemes for compressible Euler equations ⋮ High-Order Spectral Difference Gas-Kinetic Schemes for Euler and Navier-Stokes Equations ⋮ An efficient high-order gas-kinetic scheme. I: Euler equations ⋮ An extended gas-kinetic scheme for shock structure calculations

Cites Work

• Comparison of the generalized Riemann solver and the gas-kinetic scheme for inviscid compressible flow simulations
• Numerical simulation of the viscous shock tube problem by using a high resolution monotonicity-preserving scheme
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
• Weighted essentially non-oscillatory schemes
• High order one-step monotonicity-preserving schemes for unsteady compressible flow calculations.
• A multidimensional gas-kinetic BGK scheme for hypersonic viscous flow
• Grid convergence of high order methods for multiscale complex unsteady viscous compressible flows.
• Efficient implementation of weighted ENO schemes
• A new gas-kinetic scheme based on analytical solutions of the BGK equation
• Simple derivation of high-resolution schemes for compressible flows by kinetic approach
• A high-order gas-kinetic Navier-Stokes flow solver
• Finite Difference WENO Schemes with Lax--Wendroff-Type Time Discretizations
• Finite-volume implementation of high-order essentially nonoscillatory schemes in two dimensions
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
• Evaluation of TVD high-resolution schemes for unsteady viscous shocked flows
• A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method

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