6 papers · 1 filter
A High-Order Finite Volume GENO Scheme with Implicit Time Integration for Three-Temperature Radiation Diffusion Equations
Fengxiang Zhao, Yaqing Yang, Yibing Chen +1
This study presents a high-order finite volume scheme capable of large time-step integration for three-temperature radiation diffusion (3TRD) equations, where conservation is natur…
A Well-Balanced Space-Time ALE Compact Gas-Kinetic Scheme for the Shallow Water Equations on Unstructured Meshes
Fengxiang Zhao, Jianping Gan, Kun XU
This study presents a high-order, space-time coupled arbitrary Lagrangian Eulerian (ALE) compact gas-kinetic scheme (GKS) for the shallow water equations on moving unstructured mes…
A well-balanced gas-kinetic scheme with adaptive mesh refinement for shallow water equations
Gaocheng Liu, Fengxiang Zhao, Jianping Gan +1
This paper presents the development of a well-balanced gas-kinetic scheme (GKS) with space-time adaptive mesh refinement (STAMR) for the shallow water equations (SWE). While well-b…
Performance evaluation of high-order compact and second-order gas-kinetic schemes in compressible flow simulations
Yaqing Yang, Fengxiang Zhao, Kun Xu
The trade-off among accuracy, robustness, and computational cost remains a key challenge in simulating complex flows. Second-order schemes are computationally efficient but lack th…
An effective implementation of high-order compact gas-kinetic scheme on structured meshes for compressible flows
Yaqing Yang, Fengxiang Zhao, Kun Xu
A novel fifth-order compact gas-kinetic scheme is developed for high-resolution simulation of compressible flows on structured meshes. Its accuracy relies on a new multidimensional…
A generalized ENO reconstruction in compact GKS for compressible flow simulations
Fengxiang Zhao, Kun Xu
This paper presents a generalized ENO (GENO)-type nonlinear reconstruction scheme for compressible flow simulations. The proposed reconstruction preserves the accuracy of the linea…