On the approximate zeroth and first‐order consistency in the presence of 2‐D irregular boundaries in SPH obtained by the virtual boundary particle methods
On the approximate zeroth and first‐order consistency in the presence of 2‐D irregular boundaries in SPH obtained by the virtual boundary particle methods
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DOI：
10.1002/fld.4026
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发表时间：
2015-07
影响因子：
1.8
通讯作者：
G. Fourtakas;R. Vacondio;B. Rogers
中科院分区：
文献类型：
--
作者：
G. Fourtakas;R. Vacondio;B. Rogers
本文提出了一种在光滑粒子流体力学中施加二维固体壁边界条件的新方法。用一组虚粒子对壁进行离散，并用局部点对称方法对壁进行模拟。扩展了先前发表的改进的虚边界粒子（MVBP）方法，保证了任意复杂区域可以很容易地离散，保证了近似的零阶和一阶一致性。为了实现这一目标，引入了三个重要的新修改：(i)不仅确保了距离边界一个平滑长度距离h内的粒子的完全支持，而且确保了距离大于h但仍在核支持范围内的粒子的完全支持；（ii）对于非均匀流体颗粒分布，虚拟颗粒是用均匀模板生成的（与以前的算法不同），该模板可以在稳定流动中平行于壁面运动的颗粒上保持均匀的剪切应力；（iii）粒子性质（密度、质量和速度）用局部对称点来定义，以满足流体静力条件和压力的柯西边界条件。扩展的MVBP模型在一些情况下进行了演示，包括楔形槽中的静水和弯曲边界的流体静力条件，与传统的边界技术相比，在这些情况下获得了显着改善的行为。最后，还说明了该数值格式在溃坝模拟中的能力。版权所有©2015 John Wiley & Sons， Ltd
In this paper, a new method to impose 2‐D solid wall boundary conditions in smoothed particle hydrodynamics is presented. The wall is discretised by means of a set of virtual particles and is simulated by a local point symmetry approach. The extension of a previously published modified virtual boundary particle (MVBP) method guarantees that arbitrarily complex domains can be readily discretised guaranteeing approximate zeroth and first‐order consistency. To achieve this, three important new modifications are introduced: (i) the complete support is ensured not only for particles within one smoothing length distance, h, from the boundary but also for particles located at a distance greater than h but still within the support of the kernel; (ii) for a non‐uniform fluid particle distribution, the fictitious particles are generated with a uniform stencil (unlike the previous algorithms) that can maintain a uniform shear stress on a particle‐moving parallel to the wall in a steady flow; and (iii) the particle properties (density, mass and velocity) are defined using a local point of symmetry to satisfy the hydrostatic conditions and the Cauchy boundary condition for pressure. The extended MVBP model is demonstrated for cases including hydrostatic conditions for still water in a tank with a wedge and for curved boundaries, where significant improved behaviour is obtained in comparison with the conventional boundary techniques. Finally, the capability of the numerical scheme to simulate a dam break simulation is also shown. Copyright © 2015 John Wiley & Sons, Ltd.