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Cell-vertex finite-volume time-domain algorithm on unstructured grid and its applications


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Cell-vertex finite-volume time-domain algorithm on unstructured grid and its applications
Gao YukunChen HongquanPu Saihu
College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China
finite-volume time-domain cell-vertex scheme unstructured grid physical quantity reconstruction Maxwell's equations electromagnetic field computational fluid dynamics perfectly matched layer radar cross section
In order to improve the traditional cell-vertex based methods,a cell-vertex finite-volume time-domain algorithm based on an unstructured grid is developed for solving the time-dependent Maxwell's equations,which results in that all physical quantities at each time step can be updated at the vertices of the same mesh cell without using auxiliary mesh like traditional methods.Referring to the approaches used in computational fluid dynamics,Steger-Warming flux-vector splitting is introduced in spatial discretization,and an explicit four-stage Runge-Kutta scheme is employed in time-marching.Physical quantities on the surface of control volumes related to the flux computation are determined by a function reconstruction,which is described in details in this paper.Numerical results show that the accuracy of physical quantities used for the flux calculation on the surface of each control volume is improved by using the quadratic function reconstruction instead of the traditional linear function reconstruction.Numerical examples also show that the presented method has the ability to accommodate complex geometries with multi-element or multi-component due to the use of cell vertices of the unstructured grid.


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Last Update: 2014-08-31