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| Application of smoothed particle hydrodynamics method to the simulations of elastic wave propagation in solid |
| Revised:July 24, 2003 |
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| DOI：10.7511/jslx20053064 |
| KeyWord:smoothed particle hydrodynamics,elastic wave propagation,transmitting boundary condi-)tion,de-convolution,conservative filtering |
| DING Hua~ |
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| Abstract: |
| A new version of SPH method is developed to solve the initial- boundary value problems for elastic wave propagation. In this algorithm, a very weak kernel estimate is used. In particular, the stress boundary conditions (especially the transmitting boundary condition) are invoked through residual terms in the integration by parts. The very weak kernel estimate avoids the double kernel estimate in the conventional residual method of SPH. The estimates of boundary particles are done by modified kernel function defined according to the local feature of a boundary. The final solution is sharpened by de-convolution in order to obtain reasonable results with relatively large particle distance. The conservative smoothing approach is used to stabilizing the numerical procedure. |
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