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20242026
most citedA Memory Reduction Compact Gas Kinetic Scheme on 3D Unstructured Meshes

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math.NA2024★ 1 cited

A Memory Reduction Compact Gas Kinetic Scheme on 3D Unstructured Meshes

Hongyu Liu, Xing Ji, Yunpeng Mao +2

This paper introduces a memory-reduction third-order compact gas-kinetic scheme (CGKS) for solving compressible Euler and Navier-Stokes equations on 3D unstructured meshes. The sch…

math.NA2024

Comparison of the high-order Runge-Kutta discontinuous Galerkin method and gas-kinetic scheme for inviscid compressible flow simulations

Yixiao Wang, Xing Ji, Gang Chen +1

The Runge--Kutta discontinuous Galerkin (RKDG) method is a high-order technique for addressing hyperbolic conservation laws, which has been refined over recent decades and is effec…

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…

physics.comp-ph2024

A Compact Gas-Kinetic Scheme with Scalable Geometric Multigrid Acceleration for Steady-State Computation on 3D Unstructured Meshes

Hongyu Liu, Xing Ji, Yunpeng Mao +2

In this paper, we present an advanced high-order compact gas-kinetic scheme (CGKS) for 3D unstructured mixed-element meshes, augmented with a geometric multigrid technique to accel…

math.NA2024

A robustness-enhanced reconstruction based on discontinuity feedback factor for high-order finite volume scheme

Hong Zhang, Xing Ji, Kun Xu

In this paper, a robustness-enhanced reconstruction for the high-order finite volume scheme is constructed on the 2-D structured mesh, and both the high-order gas-kinetic scheme(GK…

physics.comp-ph2024

High-order compact gas-kinetic scheme in arbitrary Lagrangian-Eulerian formulation

Yue Zhang, Kun Xu

This study proposes an extension of the high-order compact gas-kinetic scheme (CGKS) to compressible flow simulation in an arbitrary Lagrangian-Eulerian (ALE) formulation in unstru…