Free-surface flows solved by means of SPH schemes with numerical diffusive terms
Free-surface flows solved by means of SPH schemes with numerical diffusive terms
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DOI：
10.1016/j.cpc.2009.11.002
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发表时间：
2010-03-01
影响因子：
6.3
通讯作者：
Molteni, D.
中科院分区：
文献类型：
--
作者：
Antuono, M.;Colagrossi, A.;Molteni, D.
一个新的方程组已被定义，其中包含扩散项的连续性和能量方程，并在领先的顺序，符合标准的弱可压缩SPH计划与人工粘性。适当的状态方程用于将内部能量变化与压力场相关联，并在流体发生强烈变形/压缩时增加声速。声速的增加与时间积分步骤的缩短相关联，并且因此允许在断裂和冲击事件期间的更大的准确度。而且。扩散项允许减少高频数值声学噪声并平滑压力场。最后，已定义的二阶导数的增强配方是一致的和收敛的整个流体域，因此，允许正确地模拟扩散项的自由表面。该模型已被测试，使用不同的自由表面流动清楚地表明是强大的。高效准确。CPU时间成本的分析和比较与标准的SPH计划。(C)2009爱思唯尔有限公司版权所有。
A novel system of equations has been defined which contains diffusive terms in both the continuity and energy equations and, at the leading order, coincides with a standard weakly-compressible SPH scheme with artificial viscosity. A proper state equation is used to associate the internal energy variation to the pressure field and to increase the speed of sound when strong deformations/compressions of the fluid occur. The increase of the sound speed is associated to the shortening of the time integration step and, therefore, allows a larger accuracy during both breaking and impact events. Moreover. the diffusive terms allows reducing the high frequency numerical acoustic noise and smoothing the pressure field. Finally, an enhanced formulation for the second-order derivatives has been defined which is consistent and convergent all over the fluid domain and, therefore, permits to correctly model the diffusive terms up to the free surface. The model has been tested using different free surface flows clearly showing to be robust. efficient and accurate. An analysis of the CPU time cost and comparisons with the standard SPH scheme is provided. (C) 2009 Elsevier B.V. All rights reserved.