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| Corrective scheme for derivative free method to compute Second Order Derivatives |
| Received:April 16, 2017 Revised:August 26, 2017 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20170416002 |
| KeyWord:SPH kernel approximation SODF-SPH method corrective accuracy |
| Author | Institution |
| 热合买提江·依明 |
新疆大学 数学与系统科学学院, 乌鲁木齐 |
| 阿合买提江·依明江 |
新疆大学 数学与系统科学学院, 乌鲁木齐 |
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| Abstract: |
| New corrective schemes for Second Order Derivative Free Smoothed Particle Hydrodynamics method (SODF-SPH) are proposed.The corrective schemes are deduced in one-variable and multivariate functions which have o(h) accuracy everywhere.Then selecting different particle distances and setting different smooth lengths the second order derivatives of the one-variable and the multivariate functions are computed to simulated heat conduction errors between SODF-SPH methods and corrective scheme are compared and analyzed.The results show that the corrective schemes greatly improve the accuracy and convergence speed. |