A gradient-compression-based compact high-order gas-kinetic scheme on three-dimensional hybrid unstructured mesh
arXiv:2107.05169 · doi:10.1080/10618562.2021.1991329
Abstract
In this paper, the compact gas-kinetic scheme for compressible flow is extended to hybrid unstructured mesh. Based on both cell-averaged flow variables and their gradients updated from time accurate gas evolution model at cell interfaces, a compact third-order least-square-constrained reconstruction can be obtained on unstructured mesh and a multi-resolution WENO reconstruction is adopted in case of discontinuous solutions. Moreover, a compression factor for the cell-averaged gradients is proposed to take into account the possible discontinuity in flow variables at cell interface, which significantly improves the robustness of the compact scheme for high-speed flow computation on irregular mesh and preserves the accuracy. Numerical tests from incompressible to hypersonic flow are presented to demonstrate the broad applicability of the gradient-compression-based high-order compact scheme.
arXiv commentarXiv admin note: text overlap with arXiv:2102.01366
References in corpus (5)
- An Efficient and Accurate Two-Stage Fourth-order Gas-kinetic Scheme for the Navier-Stokes Equations
- High-order multiderivative time integrators for hyperbolic conservation laws
- A three-dimensional unified gas-kinetic wave-particle solver for flow computation in all regimes
- A Third-order Compact Gas-kinetic Scheme on Unstructured Meshes for Compressible Navier-Stokes Solutions
- A compact high-order gas-kinetic scheme on unstructured mesh for acoustic and shock wave computations