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20142024
most citedAn Efficient and Accurate Two-Stage Fourth-order Gas-kinetic Scheme for the Navier-Stokes Equations

160 citations · 413 across the 23 of their papers we have counts for

collaborators

23 papers

math.NA2024

Implicit high-order gas-kinetic schemes for compressible flows on three-dimensional unstructured meshes II: unsteady flows

Yaqing Yang, Liang Pan, Kun Xu

For the simulations of unsteady flow, the global time step becomes really small with a large variation of local cell size. In this paper, an implicit high-order gas-kinetic scheme…

math.NA2023

Implicit high-order gas-kinetic schemes for compressible flows on three-dimensional unstructured meshes I: steady flows

Yaqing Yang, Liang Pan, Kun Xu

In the previous studies, the high-order gas-kinetic schemes (HGKS) have achieved successes for unsteady flows on three-dimensional unstructured meshes. In this paper, to accelerate…

math.NA2023★ 1 cited

An Oscillation-free Spectral Volume Method for Hyperbolic Conservation Laws

Xinyue Zhang, Waixiang Cao, Liang Pan

In this paper, an oscillation-free spectral volume (OFSV) method is proposed and studied for the hyperbolic conservation laws. The numerical scheme is designed by introducing a dam…

math.NA2022★ 13 cited

Multiple-GPU accelerated high-order gas-kinetic scheme for direct numerical simulation of compressible turbulence

Yuhang Wang, Guiyu Cao, Liang Pan

High-order gas-kinetic scheme (HGKS) has become a workable tool for the direct numerical simulation (DNS) of turbulence. In this paper, to accelerate the computation, HGKS is imple…

math.NA2022★ 2 cited

Three-dimensional third-order gas-kinetic scheme on hybrid unstructured meshes for Euler and Navier-Stokes equations

Yaqing Yang, Liang Pan, Kun Xu

In this paper, a third order gas kinetic scheme is developed on the three dimensional hybrid unstructured meshes for the numerical simulation of compressible inviscid and viscous f…

math.NA2022

Three-dimensional discontinuous Galerkin based high-order gas-kinetic scheme and GPU implementation

Yuhang Wang, Liang Pan

In this paper, the discontinuous Galerkin based high-order gas-kinetic schemes (DG-HGKS) are developed for the three-dimensional Euler and Navier-Stokes equations. Different from t…