Zobrazeno 1 - 10
of 215
pro vyhledávání: '"TANG, HUAZHONG"'
This paper develops high-order accurate, well-balanced (WB), and positivity-preserving (PP) finite volume schemes for shallow water equations on adaptive moving structured meshes. The mesh movement poses new challenges in maintaining the WB property,
Externí odkaz:
http://arxiv.org/abs/2409.09600
Autor:
Li, Shangting, Tang, Huazhong
This paper develops the high-order entropy stable (ES) finite difference schemes for multi-dimensional compressible Euler equations with the van der Waals equation of state (EOS) on adaptive moving meshes. Semi-discrete schemes are first nontrivially
Externí odkaz:
http://arxiv.org/abs/2407.05568
Autor:
Wang, Jiangfu, Tang, Huazhong
This paper proposes a second-order accurate direct Eulerian generalized Riemann problem (GRP) scheme for the ten-moment Gaussian closure equations with source terms. The generalized Riemann invariants associated with the rarefaction waves, the contac
Externí odkaz:
http://arxiv.org/abs/2407.03712
This paper proposes novel high-order accurate discontinuous Galerkin (DG) schemes for the one- and two-dimensional ten-moment Gaussian closure equations with source terms defined by a known potential function. Our DG schemes exhibit the desirable cap
Externí odkaz:
http://arxiv.org/abs/2402.15446
This paper develops high-order well-balanced (WB) energy stable (ES) finite difference schemes for multi-layer (the number of layers $M\geqslant 2$) shallow water equations (SWEs) on both fixed and adaptive moving meshes, extending our previous works
Externí odkaz:
http://arxiv.org/abs/2311.08124
Publikováno v:
J. Comput. Phys., 492 (2023), 112451
This paper proposes high-order accurate well-balanced (WB) energy stable (ES) adaptive moving mesh finite difference schemes for the shallow water equations (SWEs) with non-flat bottom topography. To enable the construction of the ES schemes on movin
Externí odkaz:
http://arxiv.org/abs/2303.06924
Autor:
Ling, Dan, Tang, Huazhong
This paper develops the genuinely multidimensional HLL Riemann solver for the two-dimensional special relativistic hydrodynamic equations on Cartesian meshes and studies its physical-constraint preserving (PCP) property. Based on the resulting HLL so
Externí odkaz:
http://arxiv.org/abs/2303.02686
Autor:
Tan, Zengqiang, Tang, Huazhong
This paper continues to study linear and unconditionally modified-energy stable (abbreviated as SAV-GL) schemes for the gradient flows. The schemes are built on the SAV technique and the general linear time discretizations (GLTD) as well as the extra
Externí odkaz:
http://arxiv.org/abs/2302.02715
This paper designs and analyzes positivity-preserving well-balanced (WB) central discontinuous Galerkin (CDG) schemes for the Euler equations with gravity. A distinctive feature of these schemes is that they not only are WB for a general known statio
Externí odkaz:
http://arxiv.org/abs/2207.09398
Autor:
Tan, Zengqiang, Tang, Huazhong
This paper studies a class of linear unconditionally energy stable schemes for the gradient flows. Such schemes are built on the SAV technique and the general linear time discretization (GLTD) as well as the linearization based on the extrapolation f
Externí odkaz:
http://arxiv.org/abs/2203.02290