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

67 citations · 146 across the 24 of their papers we have counts for

collaborators

25 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-…

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…

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,…

physics.flu-dyn2026

A Three-Dimensional Two-Temperature Gas-Kinetic Scheme with Generalized Kinetic Boundary Condition for Hypersonic SBLI

Xingjian Gao, Hualin Liu, Fengxiang Zhao +1

Accurate prediction of aerothermal loads in hypersonic flows is critical yet challenging due to the coupling of Shock-Wave/Boundary-Layer Interactions (SBLI) and thermal non-equili…

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…

math.NA2023

High-order Compact Gas-kinetic Scheme for Two-layer Shallow Water Equations on Unstructured Mesh

Fengxiang Zhao, Jianping Gan, Kun Xu

For the two-layer shallow water equations, a high-order compact gas-kinetic scheme (GKS) on triangular mesh is proposed. The two-layer shallow water equations have complex source t…

physics.flu-dyn2022

High-order Compact Gas-kinetic Schemes for Three-dimensional Flow Simulation on Tetrahedral Mesh

Fengxiang Zhao, Xing Ji, Wei Shyy +1

A general framework for the development of high-order compact schemes has been proposed recently. The core steps of the schemes are composed of the following. 1). Based on a kineti…

physics.flu-dyn2021★ 3 cited

Direct Modeling for Computational Fluid Dynamics and the Construction of High-order Compact Scheme for Compressible Flow Simulations

Fengxiang Zhao, Xing Ji, Wei Shyy +1

Computational fluid dynamics is a direct modeling of physical laws in a discretized space. The basic physical laws include the mass, momentum and energy conservations, physically c…

physics.comp-ph2021★ 3 cited

Two-step multi-resolution reconstruction-based compact gas-kinetic scheme on tetrahedral mesh

Xing Ji, Fengxiang Zhao, Wei Shyy +1

In this paper, a third-order compact gas-kinetic scheme (GKS) on unstructured tetrahedral mesh is constructed for the compressible Euler and Navier-Stokes solutions. The time-depen…

math.NA2020★ 9 cited

A compact high-order gas-kinetic scheme on unstructured mesh for acoustic and shock wave computations

Fengxiang Zhao, Xing Ji, Wei Shyy +1

In this paper an even higher-order compact GKS up to sixth order of accuracy will be constructed for the shock and acoustic wave computation on unstructured mesh. The compactness i…

physics.comp-ph2020★ 1 cited

A three-dimensional compact high-order gas-kinetic scheme on structured mesh

Xing Ji, Fengxiang Zhao, Wei Shyy +1

In this paper, a third-order compact gas-kinetic scheme is firstly proposed for three-dimensional computation for the compressible Euler and Navier-Stokes solutions. The scheme ach…

physics.comp-ph2020★ 15 cited

An acoustic and shock wave capturing compact high-order gas-kinetic scheme with spectral-like resolution

Fengxiang Zhao, Xing Ji, Wei Shyy +1

In this paper, a compact high-order gas-kinetic scheme (GKS) with spectral resolution will be presented and used in the simulation of acoustic and shock waves. For accurate simulat…

physics.flu-dyn2019★ 12 cited

High-order ALE gas-kinetic scheme with unstructured WENO reconstruction

Liang Pan, Fengxiang Zhao, Kun Xu

In this paper, a high-order multi-dimensional gas-kinetic scheme is presented for both inviscid and viscous flows in arbitrary Lagrangian-Eulerian (ALE) formulation. Compared with…

physics.comp-ph2019★ 3 cited

Compact Higher-order Gas-kinetic Schemes with Spectral-like Resolution for Compressible Flow Simulations

Fengxiang Zhao, Xing Ji, Wei Shyy +1

In this paper, a class of compact higher-order gas-kinetic schemes (GKS) with spectral resolution will be presented. Based on the high-order gas evolution model in GKS, both the in…

physics.comp-ph2018

A HWENO Reconstruction Based High-order Compact Gas-kinetic Scheme on Unstructured Meshes

Xing Ji, Fengxiang Zhao, Wei Shyy +1

As an extension of previous fourth-order compact gas kinetic scheme (GKS) on structured meshes (Ji et al. 2018), this work is about the development of a third-order compact GKS on…

math.NA2017★ 32 cited

Weighted essentially non-oscillatory scheme on unstructured quadrilateral and triangular meshes for hyperbolic conservation laws

Fengxiang Zhao, Liang Pan, Shuanghu Wang

In this paper, a third-order weighted essentially non-oscillatory (WENO) scheme is developed for hyperbolic conservation laws on unstructured quadrilateral and triangular meshes. A…

physics.comp-ph2017★ 67 cited

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

Xing Ji, Fengxiang Zhao, Wei Shyy +1

Most high order computational fluid dynamics (CFD) methods for compressible flows are based on Riemann solver for the flux evaluation and Runge-Kutta (RK) time stepping technique f…