Two-stage Fourth-order Gas Kinetic Solver-based Compact Subcell Finite Volume Method for Compressible Flows over Triangular Meshes

  title={Two-stage Fourth-order Gas Kinetic Solver-based Compact Subcell Finite Volume Method for Compressible Flows over Triangular Meshes},
  author={Chao Zhang and Qibing Li and Peng Song and Jiequan Li},
  • Chao Zhang, Qibing Li, +1 author Jiequan Li
  • Published 11 October 2021
  • Mathematics, Computer Science, Physics
  • ArXiv
Volume Method for Compressible Flows over Triangular Meshes Chao Zhang,1 Qibing Li,2 Peng Song,1, 3 and Jiequan Li1, 3 1)Institute of Applied Physics and Computational Mathematics, Beijing, 100088, China 2)Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China 3)HEDPS, Center for Applied Physics and Technology, College of Engineering, Peking University, Beijing 100871, China. 


Finite-volume WENO schemes for three-dimensional conservation laws
In this paper we firstly carry out an extension of the finite-volume WENO schemes to three space dimensions and higher orders of accuracy. Secondly, we propose to use more accurate fluxes as the
A third-order subcell finite volume gas-kinetic scheme for the Euler and Navier-Stokes equations on triangular meshes
  • Chao Zhang, Qibing Li
  • Computer Science, Physics
    J. Comput. Phys.
  • 2021
A constrained least-square reconstruction is adopted in SCFV-GKS so that the correction is not necessary and continuous polynomials inside each main cell can be reconstructed, which results in less numerical dissipation and less computational cost for flux evolution.
A Two-Stage Fourth Order Time-Accurate Discretization for Lax-Wendroff Type Flow Solvers I. Hyperbolic Conservation Laws
A novel two-stage fourth order time-accurate discretization for time-dependent flow problems, particularly for hyperbolic conservation laws is developed.
A third-order gas-kinetic CPR method for the Euler and Navier-Stokes equations on triangular meshes
A third-order accurate gas-kinetic scheme based on the correction procedure via reconstruction (CPR) framework is developed for the Euler and Navier–Stokes equations on triangular meshes, achieving high-order accuracy in both space and time within a single step.
A High-Order Accurate Gas-Kinetic Scheme for One- and Two-Dimensional Flow Simulation
This paper develops a high-order accurate gas-kinetic scheme in the framework of the finite volume method for the oneand two-dimensional flow simulations, which is an extension of the third-order
A HWENO reconstruction based high-order compact gas-kinetic scheme on unstructured mesh
The development of a third-order compact GKS on unstructured meshes for the compressible Euler and Navier-Stokes solutions with robustness through the cases with strong shocks in the hypersonic viscous flow simulations is validated.
Higher order solution of the Euler equations on unstructured grids using quadratic reconstruction
High order accurate finite-volume schemes for solving the Euler equations of gasdynamics are developed. Central to the development of these methods are the construction of a k-exact reconstruction
A high-order gas-kinetic Navier-Stokes flow solver
A time-dependent flux function from a high-order discontinuous reconstruction based on the Boltzmann equation is presented, which has no specific requirement on the smoothness of the initial data and the kinetic equation has the mechanism to construct a dissipative wave structure starting from an initially discontinuous flow condition on a time scale larger than the particle collision time.
High order one-step monotonicity-preserving schemes for unsteady compressible flow calculations
This paper deals with the development of accurate one-step schemes for the numerical simulation of unsteady compressible flows. Pursuing our work in Daru and Tenaud [V. Daru, C. Tenaud, Comput.