A multi-domain approach for smoothed particle hydrodynamics simulations of highly complex flows
A multi-domain approach for smoothed particle hydrodynamics simulations of highly complex flows
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DOI：
10.1016/j.cma.2018.06.029
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发表时间：
2018-10
影响因子：
7.2
通讯作者：
Alessandra Monteleone;M. De Marchis;B. Milici;E. Napoli
中科院分区：
文献类型：
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作者：
Alessandra Monteleone;M. De Marchis;B. Milici;E. Napoli
在光滑粒子流体动力学方法的框架下，提出了一种求解不可压缩流动动量和连续性方程的高效精确方法。该过程不需要子域的任何重叠，这将导致计算工作量的增加。在分离相邻块的表面处获得完全匹配的解决方案。块界面可以是平面和曲面，从而可以轻松地分解几何复杂的域。核函数的平滑长度在每个子域中保持恒定，而在需要不同分辨率的块之间变化。通过界面离开每个块的粒子被停用，并且相应地使用动态自适应过程在相邻块处生成新粒子以控制它们的释放频率。因此，没有采用分裂和聚结方法来考虑穿过界面的颗粒的不同尺寸和质量。基于区域分解的拉格朗日方法在求解过程中保证了质量守恒，二维和三维近似的算例表明了该方法的准确性，并通过多分辨率方法大大减少了计算量。
An efficient and accurate method is proposed to solve the incompressible flow momentum and continuity equations in computational domains partitioned into subdomains in the framework of the smoothed particle hydrodynamics method. The procedure does not require any overlap of the subdomains, which would result in the increase of the computational effort. Perfectly matching solutions are obtained at the surfaces separating neighboring blocks. The block interfaces can be both planar and curved surfaces allowing to easily decompose even geometrically complex domains.Thesmoothing lengthof thekernelfunction is maintained constant in each subdomain, while changing between blocks where a different resolution is required. Particles leaving each block through the interfaces are deactivated and correspondingly new particles are generated at the neighboring block using a dynamically adaptive procedure to control their frequency of release. No splitting and coalescing method is thus employed to take into account the different size and mass of the particles going through the interfaces. Mass conservation is guaranteed during the procedure, which is a challenging task in a Lagrangian method based on the domain decomposition.The test cases in both 2D and 3D approximation show the accuracy of the method and its ability to strongly reduce the computational efforts through a multi-resolution approach.