Three-dimensional third-order gas-kinetic scheme on hybrid unstructured meshes for Euler and Navier-Stokes equations

by   Yaqing Yang, et al.

In this paper, a third order gas kinetic scheme is developed on the three dimensional hybrid unstructured meshes for the numerical simulation of compressible inviscid and viscous flows. A third-order WENO reconstruction is developed on the hybrid unstructured meshes, including tetrahedron, pyramid, prism and hexahedron. A simple strategy is adopted for the selection of big stencil and sub-stencils. Incorporate with the two-stage fourth-order temporal discretization and lower-upper symmetric Gauss-Seidel methods, both explicit and implicit high-order gas-kinetic schemes are developed. A variety of numerical examples, from the subsonic to supersonic flows, are presented to validate the accuracy and robustness for both inviscid and viscous flows.



page 13

page 15

page 17

page 19

page 20

page 22

page 25


High-order gas-kinetic scheme with three-dimensional WENO reconstruction for the Euler and Navier-Stokes solutions

In this paper, a simple and efficient third-order weighted essentially n...

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

To meet the demand for complex geometries and high resolutions of small-...

A two-stage fourth-order gas-kinetic CPR method for the Navier-Stokes equations on triangular meshes

A highly efficient gas-kinetic scheme with fourth-order accuracy in both...

Three-dimensional discontinuous Galerkin based high-order gas-kinetic scheme and GPU implementation

In this paper, the discontinuous Galerkin based high-order gas-kinetic s...

A flux-vector splitting scheme for the shallow water equations extended to high-order on unstructured meshes

We present an advection-pressure flux-vector splitting method for the on...

High Order Hermite Finite Difference Method for Euler/Navier-Stokes Equations in 2D Unstructured Meshes

A high order finite difference method is proposed for unstructured meshe...

Stiffened gas approximation and GRP resolution for fluid flows of real materials

The equation of state (EOS) embodies thermodynamic properties of compres...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.