Improvement in Computational Efficiency of Euler Equations Via a Modified Sparse Point Representation Method

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Kim, Hyung Min; Kim, Kyu Hong; Lee, Do Hyung; Lee, Dong Ho
Issue Date
Computers & Fluids 37 (2008) 265–280
A modified Sparse Point Representation (SPR) method is proposed to enhance the computational efficiency of Euler equations. A SPR dataset adapted to a solution is constructed through interpolating wavelet decomposition and thresholding. The fluxes are evaluated only at the points within a SPR dataset, which reduces the total computing time. In order to improve the overall efficiency and accuracy of the SPR method in a steady-state calculation, the following three techniques are applied: First, the threshold method is modified so as to maintain the spatial accuracy of a conventional solver by switching between a threshold value and the order of magnitude of a spatial truncation error. Second, a stabilization technique is added to improve the compression ratio of the SPR method by keeping numerical errors due to the thresholding from being inserted into the computational domain. Third, if the variations of flow variables in a time integration step are below the order of a threshold value at the points excluded from a SPR dataset, then the tiny variations are restricted by adopting a weighting factor. The modified SPR method was applied to two-dimensional steady Euler equations and it was confirmed that their efficiency and convergence were greatly enhanced without compromising the accuracy of the solution when compared to a conventional solver.
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College of Engineering/Engineering Practice School (공과대학/대학원)Dept. of Mechanical Aerospace Engineering (기계항공공학부)Journal Papers (저널논문_기계항공공학부)
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