A well-balanced stable generalized Riemann problem scheme for shallow   water equations using adaptive moving unstructured triangular meshes

doi:10.1002/fld.3800

CORC > 北京大学 > 城市与环境学院

	A well-balanced stable generalized Riemann problem scheme for shallow water equations using adaptive moving unstructured triangular meshes
	Zhou, Feng ; Chen, Guoxian ; Noelle, Sebastian ; Guo, Huaicheng
刊名	international journal for numerical methods in fluids
	2013
关键词	shallow water equations generalized Riemann problem adaptive unstructured meshes well-balanced scheme hydrodynamic process EULERIAN GRP SCHEME HYPERBOLIC CONSERVATION-LAWS GEOMETRICAL SOURCE TERMS SAINT-VENANT SYSTEM MULTIPLE DIMENSIONS GALERKIN METHODS KINETIC SCHEME HARMONIC MAPS WENO SCHEMES FLOWS
DOI	10.1002/fld.3800
英文摘要	We propose a well-balanced stable generalized Riemann problem (GRP) scheme for the shallow water equations with irregular bottom topography based on moving, adaptive, unstructured, triangular meshes. In order to stabilize the computations near equilibria, we use the Rankine-Hugoniot condition to remove a singularity from the GRP solver. Moreover, we develop a remapping onto the new mesh (after grid movement) based on equilibrium variables. This, together with the already established techniques, guarantees the well-balancing. Numerical tests show the accuracy, efficiency, and robustness of the GRP moving mesh method: lake at rest solutions are preserved even when the underlying mesh is moving (e.g., mesh points are moved to regions of steep gradients), and various comparisons with fixed coarse and fine meshes demonstrate high resolution at relatively low cost. Copyright (c) 2013 John Wiley & Sons, Ltd.; Computer Science, Interdisciplinary Applications; Mathematics, Interdisciplinary Applications; Mechanics; Physics, Fluids & Plasmas; SCI(E); EI; 3; ARTICLE; 3; 266-283; 73
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/160962]
专题	城市与环境学院环境科学与工程学院
推荐引用方式 GB/T 7714	Zhou, Feng,Chen, Guoxian,Noelle, Sebastian,et al. A well-balanced stable generalized Riemann problem scheme for shallow water equations using adaptive moving unstructured triangular meshes[J]. international journal for numerical methods in fluids,2013.
APA	Zhou, Feng,Chen, Guoxian,Noelle, Sebastian,&Guo, Huaicheng.(2013).A well-balanced stable generalized Riemann problem scheme for shallow water equations using adaptive moving unstructured triangular meshes.international journal for numerical methods in fluids.
MLA	Zhou, Feng,et al."A well-balanced stable generalized Riemann problem scheme for shallow water equations using adaptive moving unstructured triangular meshes".international journal for numerical methods in fluids (2013).