移动粒子半隐式法（MovingParticleSemi—implicit，MPS）是一种广泛应用于不可压缩自由表面流动的粒子方法。本文通过把非牛顿流体转化为变黏度牛顿流体的处理方法将MPS方法拓展至非牛顿自由表面流动，以Casson流体和Cross流体为例计算了非牛顿流体的二维溃坝问题。将计算结果与前人数据进行了对比，结果吻合较好。同时对比了非牛顿流体与牛顿流体的计算结果，发现非牛顿流体的溃坝前端发展速度较慢。
The Moving Particle Semi-implicit method （MPS） is a Lagrangian particle method suitable for free surface flows. This paper couples the non-Newtonian model with the MPS method by treating the non-Newtonian fluid as Newtonian fluid with variable viscosity. In this paper, the non-Newtonian fluids are demonstrated using the Casson and Cross rheological models. A 2D mudflow dam-break problem is investigated and the results of numerical simulation are in good agreement with available experimental data and previous simulations. Moreover, the result shows the Casson and Cross flow propagates more slowly than the Newtonian flow.
参考文献
| [1] | Koshizuka S.;Oka Y. .MOVING-PARTICLE SEMI-IMPLICIT METHOD FOR FRAGMENTATION OF INCOMPRESSIBLE FLUID[J].Nuclear science and engineering: the journal of the American Nuclear Society,1996(3):421-434. |
| [2] | Songdong Shao;Edmond Y.M. Lo .Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface[J].Advances in water resources,2003(7):787-800. |
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