collaborators

10 papers

physics.comp-ph2026

A well-balanced weakly compressible SPH formulation for free-surface flows and its GPU implementation

Jiawang Zhang, Fengxiang Zhao, Jianping Gan +1

This study proposes a well-balanced formulation of weakly compressible smoothed particle hydrodynamics (WCSPH) for free-surface flows, which preserves hydrostatic equilibrium exact…

physics.flu-dyn2026

Efficient Wall-Modeled High-Order Compact Gas-Kinetic Scheme for Compressible Turbulent Flows

Yaqing Yang, Fengxiang Zhao, Kun Xu

Scale-resolving simulations of wall-bounded turbulent flows remain prohibitively expensive at high Reynolds numbers, owing to the stringent near-wall resolution requirements. High-…

physics.comp-ph2026

Adaptive finite volume-particle method for free surface flows

Jiawang Zhang, Fengxiang Zhao, Kun Xu

This study proposes a novel adaptive finite volume-particle method (AFVPM) for accurate and efficient free surface flow simulations. The proposed AFVPM synergistically combines the…

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…

physics.comp-ph2026

A single-stage high-order compact gas-kinetic scheme in arbitrary Lagrangian-Eulerian formulation

Yue Zhang, Xing Ji, Yibing Chen +2

This study presents the development of a compact gas-kinetic scheme using an arbitrary Lagrangian-Eulerian (ALE) formulation for structured meshes. Unlike the Eulerian formulation,…

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…

math.NA2025

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…