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| Godunov-type corrective smoothed particle method (CSPM) |
| Revised:August 31, 2005 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20075124 |
| KeyWord:SPH,CSPM,Godunov method,1D shock tube,Meshless |
| GAO Wei-ran QIANG Hong-fu ZHANG Shi-ying |
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| Abstract: |
| The CSPM(Corrective Smoothed Particle Method) is developed from standard SPH(Smoothed Particle Hydrodynamics) Method,which improves the standard SPH in solving the boundary deficiency problem.But recent research indicated its faulty in simulation the problem which contains discontinuity.A new method named Godunov-type CSPM is proposed and the 1-Dimentional Godunov-type CSPM formulation is deduced in this paper,which combines CSPM with Godunov method seamlessly and overcomes the wrong position capture of shockwave caused by asymmetric CSPM discrete formulations.This new approach improves the CSPM when solving the discontinuous phenomena of fluid dynamics with no artificial viscosity required.Moreover,numerical test on a classical 1-Dimensional Sod shock tube problem was carried out to examine the performance of the new method,and the result shows that the new method improves shockwave capture,but worsen the accuracy in expand wave comparing with other SPH method. |
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