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SPACE-TIME CONSERVATION SCHEME IN NONORTHOGONAL CURVILINEAR COORDINATES
Authors:Liu Haitao  Xu Jianzhong  Huang Xiuqian
Abstract:A scheme of space time conservation (STC) based on the method of space time conservation element and solution element (CE/SE) is represented in a nonorthogonal curvilinear coordinate system. The corresponding initial and boundary conditions are discussed. It is seen that in the nonorthogonal coordinates the scheme maintains the advantages of the STC method, and is noted for its simple structure, clear physical meaning, rapid calculation and high accuracy. It is easy to extend to the multidimensional flow. The numerical results for a 2D Euler equation show good agreement with those from other computational methods and the experiment.
Keywords:computational method  nonorthogonal curvilinear coordinates
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