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20172026
most citedA Family of High-order Gas-kinetic Schemes and Its Comparison with Riemann Solver Based High-order Methods

67 citations · 77 across the 18 of their papers we have counts for

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11 papers · 1 filter

math.NA2026

Finite Difference Implementation of a High-order Space-Time Coupled Compact Gas-Kinetic Scheme

Fengxiang Zhao, Yibing Chen, Kun Xu

This study presents a high-order compact finite difference gas-kinetic scheme (FD-CGKS) that introduces a novel spatial discretization strategy for the efficient implementation of…

math.NA2026

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…

math.NA2025

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…

math.NA2025

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…

math.NA2025

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…

math.NA2025

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…