High-Order Gas-Kinetic Scheme in Curvilinear Coordinates for the Euler and Navier-Stokes Solutions

DOI10.4208/cicp.OA-2019-0141zbMath1476.76054arXiv1901.08720OpenAlexW3081848069MaRDI QIDQ5162343

Liang Pan, Kun Xue

Publication date: 2 November 2021

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

Full work available at URL: https://arxiv.org/abs/1901.08720

zbMATH Keywords

curvilinear coordinatesWENO reconstructiongas-kinetic schemefinite volume solvertwo-stage fourth-order discretization

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15)

Related Items (1)

High-order gas-kinetic scheme with parallel computation for direct numerical simulation of turbulent flows

Cites Work

• Unnamed Item
• Geometric conservation law and applications to high-order finite difference schemes with stationary grids
• High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
• Finite-volume WENO schemes for three-dimensional conservation laws
• A second-order Godunov-type scheme for compressible fluid dynamics
• A unified moving grid gas-kinetic method in Eulerian space for viscous flow computation
• Numerical simulation of the viscous shock tube problem by using a high resolution monotonicity-preserving scheme
• Implicit velocity correction-based immersed boundary-lattice Boltzmann method and its applications
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Compact finite difference schemes with spectral-like resolution
• Weighted essentially non-oscillatory schemes on triangular meshes
• On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation
• Weighted essentially non-oscillatory schemes
• Lattice Boltzmann method on curvilinear coordinates system: Flow around a circular cylinder
• On the freestream preservation of finite volume method in curvilinear coordinates
• Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids
• An efficient and accurate two-stage fourth-order gas-kinetic scheme for the Euler and Navier-Stokes equations
• A unified coordinate system for solving the two-dimensional Euler equations
• Efficient implementation of weighted ENO schemes
• Three dimensional high-order gas-kinetic scheme for supersonic isotropic turbulence. I: Criterion for direct numerical simulation
• Hyperbolic balance laws: Riemann invariants and the generalized Riemann problem
• A high-order gas-kinetic Navier-Stokes flow solver
• Computational Methods for Fluid Dynamics
• A Two-Stage Fourth Order Time-Accurate Discretization for Lax--Wendroff Type Flow Solvers I. Hyperbolic Conservation Laws
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• A numerical study of steady viscous flow past a circular cylinder
• Total variation diminishing Runge-Kutta schemes
• Comparison of two formulations for high-order accurate essentially nonoscillatory schemes
• Two-stage fourth-order gas-kinetic scheme for three-dimensional Euler and Navier-Stokes solutions
• A Two-Stage Fourth-Order Gas-Kinetic Scheme for Compressible Multicomponent Flows
• Numerical Study on Two-Dimensional Micro-Channel Flows Using the Gas-Kinetic Unified Algorithm
• An Implicit Discrete Unified Gas-Kinetic Scheme for Simulations of Steady Flow in All Flow Regimes
• A Consistent Fourth-Order Compact Finite Difference Scheme for Solving Vorticity-Stream Function Form of Incompressible Navier-Stokes Equations
• Direct Modeling for Computational Fluid Dynamics
• A High-Order Accurate Gas-Kinetic Scheme for One- and Two-Dimensional Flow Simulation
• Systems of conservation laws
• Numerical solutions for steady flow past a circular cylinder at Reynolds numbers up to 100
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
• Numerical instabilities in upwind methods: Analysis and cures for the ``carbuncle phenomenon
• A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method

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