Corrected SPH methods for solving shallow-water equations
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- 作者：Shan-qun CHEN (陈善群)aAuthor Vitae ; Bin LIAO (廖斌)a ; liaobinfluid@126.com" class="auth_mail" title="E-mail the corresponding author ; Tao HUANG (黄涛)a
- 关键词：smoothed particle hydrodynamics (SPH) methodology ; artificial viscosity ; Lax-Friedrichs flux ; two-shock Riemann solver ; MUSCL reconstruction ; shallow water equations
- 刊名：Journal of Hydrodynamics, Ser. B
- 出版年：2016
- 出版时间：June 2016
- 年：2016
- 卷：28
- 期：3
- 页码：389-399
- 全文大小：1743 K
文摘
The artificial viscosity in the traditional smoothed particle hydrodynamics (SPH) methodology concerns some empirical coefficients, which limits the capability of the SPH methodology. To overcome this disadvantage and further improve the accuracy of shock capturing, this paper introduces two other ways for numerical viscosity, which are the Lax-Friedrichs flux and the two-shock Riemann solver with MUSCL reconstruction to provide stability. Six SPH methods with different kinds of numerical viscosity are tested against the analytical solution for a 1-D dam break with a wet bed. The comparison shows that the Lax-Friedrichs flux with MUSCL reconstruction can capture the shock wave more accurate than other five methods. The Lax-Friedrichs flux and the artificial viscosity with MUSCL reconstruction are finally both applied to a 2-D dam-break test case in a L-shaped channel and the numerical results are compared with experimental data. It is concluded that this corrected SPH method can be used to solve shallow-water equations well.