适用于大密度差流体的改进SPH方法
A modified SPH approach for fluids with large density differences
摘要：
我们介绍了一种改进的SPH方法，该方法是基于离散化的颗粒密度，而不是质量密度。这种方法使得可以使用具有非常不同的质量的SPH粒子来模拟在相之间具有大的质量密度差异的多相流。我们测试我们的配方与一个简单的平流问题，与声波遇到密度不连续，并与激波管包含空气和柴油之间的接触不连续。对于所有检查的问题，粒子有不同的质量，新的配方产生更好的结果比标准的SPH。对于需要不同空间分辨率而质量密度不变的问题也是如此。
英文摘要：
We introduce a modified SPH approach that is based on discretising the particle density instead of the mass density. This approach makes it possible to use SPH particles with very different masses to simulate multi-phase flows with large differences in mass density between the phases. We test our formulation with a simple advection problem, with sound waves encountering a density discontinuity, and with shock tubes containing a contact discontinuity between air and Diesel oil. For all examined problems where particles have different masses, the new formulation yields better results than standard SPH. This is also the case for problems in which different spatial resolutions are needed while the mass density does not change.
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