High-order velocity and pressure wall boundary conditions in Eulerian incompressible SPH
High-order velocity and pressure wall boundary conditions in Eulerian incompressible SPH
复制标题
欧拉不可压缩 SPH 中的高阶速度和压力壁边界条件
DOI：
10.1016/j.jcp.2020.109793
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发表时间：
2021
影响因子：
4.1
通讯作者：
Nasar A
中科院分区：
文献类型：
--
作者：
Nasar A
在欧拉不可压缩光滑粒子流体力学(ISPH)中，提出了高阶速度和压力边界条件。虽然作者已经用高斯核证明了欧拉ISPH对于周期内部流动的高阶收敛，但对于具有固体边界的情况，这受到一阶到二阶精度的限制。由于SPH插值法在数值上是稳健的，因此有可能通过稳健的高阶精确边界条件在复杂的拓扑域中获得高阶精度。本文在欧拉ISPH中发展了固体边界上的高阶有限差分外推方法，以允许速度的Dirichlet边界条件和压力的Neumann边界条件的高精度执行。对二维Taylor-Couette流进行了高达四阶的收敛，并通过对Taylor-Couette胞状流结构的三维模拟验证了其准确性和稳健性。利用所给出的分析，精度的阶可以扩展到更高的阶。紧凑的四阶Wendland核也被用来减少粒子支撑区，从而在不损失高阶收敛的情况下降低了计算量。因此，拟议的提法完全是高阶的。
High-order velocity and pressure boundary conditions are presented in Eulerian incompressible smoothed particle hydrodynamics (ISPH). While the high-order convergence of Eulerian ISPH has been demonstrated by the authors for periodic internal flows using Gaussian kernels this was limited by first to second-order accuracy for cases with solid boundaries. Since the SPH interpolation method is numerically robust there is potential for obtaining high-order accuracy in topologically complex domains with robust high-order accurate boundary conditions. In this paper high-order finite-difference extrapolation methods at solid boundaries are developed in Eulerian ISPH to allow for enforcement of the Dirichlet boundary condition for velocity and the Neumann boundary condition for pressure with high-order accuracy. Convergence up to fourth-order is demonstrated for 2-D Taylor-Couette flow and 3-D simulations of Taylor-Couette cellular flow structures are used to demonstrate accuracy and robustness. The order of accuracy may be extended to even higher-order using the analysis presented. Compact fourth-order Wendland-type kernels have also been derived to reduce the particle support region thereby lowering computational effort without loss of high-order convergence. The proposed formulation is therefore entirely high order.
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影响因子：
4.1
作者：
Lind, S. J.;Xu, R.;Rogers, B. D.
通讯作者：
Rogers, B. D.
影响因子：
2.8
作者：
G. Fourtakas;J. Dominguez;R. Vacondio;B. Rogers
通讯作者：
G. Fourtakas;J. Dominguez;R. Vacondio;B. Rogers
影响因子：
3.7
作者：
T. Mullin
通讯作者：
T. Mullin
影响因子：
4.1
作者：
Lind, S. J.;Stansby, P. K.
通讯作者：
Stansby, P. K.