Adaptive Runge-Kutta discontinuous Galerkin method for complex geometry problems on Cartesian grid

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	Adaptive Runge-Kutta discontinuous Galerkin method for complex geometry problems on Cartesian grid
	Liu, Jianming ; Qiu, Jianxian ; Hu, Ou ; Zhao, Ning ; Goman, Mikhail ; Li, Xinkai ; Liu JM(刘剑明) ; Qiu JX(邱建贤)
刊名	http://dx.doi.org/10.1002/fld.3825
	2013
关键词	HYPERBOLIC CONSERVATION-LAWS FINITE-ELEMENT-METHOD EMBEDDED BOUNDARY METHOD GHOST-CELL METHOD HIGH-ORDER UNSTRUCTURED MESHES COMPRESSIBLE FLOW EULER EQUATIONS REFINEMENT PARALLEL
英文摘要	National Science Foundation of China [11102179, 91230110]; DMU PhD Studentship (De Montfort University, UK); Science Foundation of Institutions of Higher Education of Jiangsu Province, China [11KJB110016]; A Cartesian grid method using immersed boundary technique to simulate the impact of body in fluid has become an important research topic in computational fluid dynamics because of its simplification, automation of grid generation, and accuracy of results. In the frame of Cartesian grid, one often uses finite volume method with second order accuracy or finite difference method. In this paper, an h-adaptive Runge-Kutta discontinuous Galerkin (RKDG) method on Cartesian grid with ghost cell immersed boundary method for arbitrarily complex geometries is developed. A ghost cell immersed boundary treatment with the modification of normal velocity is presented. The method is validated versus well documented test problems involving both steady and unsteady compressible flows through complex bodies over a wide range of Mach numbers. The numerical results show that the present boundary treatment to some extent reduces the error of entropy and demonstrate the efficiency, robustness, and versatility of the proposed approach. Copyright (c) 2013 John Wiley & Sons, Ltd.
语种	英语
出版者	WILEY-BLACKWELL
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91199]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Liu, Jianming,Qiu, Jianxian,Hu, Ou,et al. Adaptive Runge-Kutta discontinuous Galerkin method for complex geometry problems on Cartesian grid[J]. http://dx.doi.org/10.1002/fld.3825,2013.
APA	Liu, Jianming.,Qiu, Jianxian.,Hu, Ou.,Zhao, Ning.,Goman, Mikhail.,...&邱建贤.(2013).Adaptive Runge-Kutta discontinuous Galerkin method for complex geometry problems on Cartesian grid.http://dx.doi.org/10.1002/fld.3825.
MLA	Liu, Jianming,et al."Adaptive Runge-Kutta discontinuous Galerkin method for complex geometry problems on Cartesian grid".http://dx.doi.org/10.1002/fld.3825 (2013).