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A Geometric Multigrid-Accelerated Compact Gas-Kinetic Scheme for Fast Convergence in High-Speed Flows on GPUs
Hongyu Liu, Xing Ji, Yuan Fu +1
Implicit methods and GPU parallelization are two distinct yet powerful strategies for accelerating high-order CFD algorithms. However, few studies have successfully integrated both…
Treatment of Wall Boundary Conditions in High-Order Compact Gas-Kinetic Schemes
Jiawang Zhang, Xing Ji, Kun Xu
The boundary layer represents a fundamental structure in fluid dynamics, where accurate boundary discretization significantly enhances computational efficiency. This paper presents…
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…
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…
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…
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…