一种新型三维水流数值模型
A new three-dimensional numerical model for stream
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摘要: 以不可压缩流体的N-S方程为基本控制方程,用快速粒子level set方法(FPLS)追踪自由表面,提出了一种新的三维水流数值模型。在自由表面处应用虚拟压力法来封闭压力泊松方程,同时用速度等值外插的方法构造自由表面外侧的虚拟速度分布。通过模拟水波振荡、水柱崩塌、水滴滴落和空箱注水过程证明了模型的有效性。
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关键词:
- 自由表面流 /
- 快速粒子levelset法 /
- 虚拟压力法 /
- 速度等值外插
Abstract: A new numerical model for three-dimensional flow is proposed, in which the Navier-Stokes (N-S) equations of incompressible fluid are solved as the governing equations for flow movement, and a fast particle level set method is adopted for free surface tracking. The N-S equations are solved only in the liquid phase for saving computational time. A ghost pressure method is utilized to close the Poisson equation on the free surface and the simple extrapolation of velocity is applied to obtaining the ghost velocity field out of the water domain. The flow model is verified by the modeled results of oscillatory flow, collapse of water column, impact of water drop and water infusion. -
黄筱云,李绍武.空间自适应的FPLS方法[J]. 天津大学学报,2010,43(11):981-987. SUSSMAN M, SMEPEKA P, OSHER S. A level set approach for computing solutions to incompressible two-phase flow [J]. Journal of Computational Physics, 1994, 114: 146-159. FEDKIW R P, ASLAM T, MERRIMAN B, et al. A non-oscillatory Eulerian approach to interfaces in multi-material flows(the ghost fluid method) [J].Journal of Computational Physics, 1998, 152: 457-492. CHORIN A J. Numerical solution of the Navier-Stokes equations[J]. Mathematics of Computation, 1968, 22: 745-762. HUANG X Y, LI S W, XIE S L. Hydrodynamic simulations based on a fast particle level set method // Proceedings of APAC 2007. Beijing:China Ocean Press, 2007: 383-386. GIBOU F, FEDKIW R P. A second-order-accurate symmetric discretization of the Poisson equation on irregular domains [J]. Journal of Computational Physics, 2002, 176: 205-227. CHEN S, JOHNSON D B, RAAD P E. Velocity boundary conditions for the simulation of free surface fluid flow [J]. Journal of Computational Physics, 1994, 116: 262-276. ADALSTENSSON D, SETHIAN J A. The fast construction of extension velocities in level set methods [J]. Journal of Computational Physics, 1999, 148: 2-22. LIN P Z, LI C W. A σ coordinate three-dimensional numerical model for surface wave propagation [J]. International Journal for Numerical Methods in Fluids, 2002, 38: 1045-1068. -
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