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A Method to Improve First Order Approximation of Smoothed Particle Hydrodynamics |
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| Authors: | CHEN Si ZHOU Dai BAO Yan DONG Shi-lin |
| Abstract: | Smoothed particle hydrodynamics (SPH) is a useful meshless method. The first and second ordersare the most popular derivatives of the field function in the mechanical governing equations. New methodswere proposed to improve accuracy of SPH approximation by the lemma proved. The lemma describes therelationship of functions and their SPH approximation. Finally, the error comparison of SPH method with orwithout our improvement was carried out. |
| Keywords: | smoothed particle hydrodynamics first order derivatives accuracy error comparison |
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