A method to improve first order approximation of smoothed particle hydrodynamics |
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| Authors: | Si Chen Dai Zhou Yan Bao Shi-lin Dong |
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| Institution: | (1) School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai, 200240, China |
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| Abstract: | Smoothed particle hydrodynamics (SPH) is a useful meshless method. The first and second orders are the most popular derivatives
of the field function in the mechanical governing equations. New methods were proposed to improve accuracy of SPH approximation
by the lemma proved. The lemma describes the relationship of functions and their SPH approximation. Finally, the error comparison
of SPH method with or without our improvement was carried out.
Foundation item: The National Natural Science Foundation of China (No. 50778111); The Key Project of Fund of Science and Technology Development
of Shanghai (No. 07JC14023) |
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| Keywords: | smoothed particle hydrodynamics first order derivatives accuracy error comparison |
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