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http://dx.doi.org/10.3795/KSME-B.2004.28.7.871

Application of CIP Method on Advection Equation by Adaptive Mesh Refinement  

Yoon, Seong-Young (영남대학교 기계공학부)
Publication Information
Transactions of the Korean Society of Mechanical Engineers B / v.28, no.7, 2004 , pp. 871-878 More about this Journal
Abstract
An accurate adaptive mesh refinement based on the CIP method is proposed and it is applied to solve the two dimensional advection equations. In this method, the level set function is employed to refine and merge the computation cells. To enhance the accuracy of the solution, the spatial discretization is made by the CIP method. The CIP method has many advantages such as the third order accuracy, less diffusivity, and shape conserving. The mathematical formulation and numerical results are also described. To verify the efficiency, accuracy, and capability of the proposed algorithim, two dimensional rotating slotted cylinder and idealized frontogenesis are numerically simulated by the present scheme. As results, it is confirmed that the present method gives an efficient, reasonable solution in the advection equation.
Keywords
Adaptive Mesh Refinement; CIP Method; Level Set Method; Advection Equation;
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