An Explicit Parallel Successive Over-Relaxation Method for Simulation of 2-Dimensional Incompressible Flows

被引：0
|
作者：
Zhang X. [1 ]
Bai J. [1 ]
Gu X. [1 ]
Ma N. [1 ]
机构：
[1] Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai
来源：
Shanghai Jiaotong Daxue Xuebao/Journal of Shanghai Jiaotong University | 2019年 / 53卷 / 06期
关键词：
Domain decomposition; Finite volume; Group explicit; Parallel computation; Successive over-relaxation (SOR);
D O I：
10.16183/j.cnki.jsjtu.2019.06.007
中图分类号：
学科分类号：
摘要：
An explicit finite volume parallel successive over-relaxation (FV-pSOR) iterative method is proposed to improve the efficiency of successive over-relaxation (SOR) iterative method in solving the algebraic equations obtained by discretizing the governing equations of 2-dimensional incompressible flows. Based on the domain decomposition technique, computation domain is separated into four sub-domains, and group explicit SOR schemes are constructed for the algebraic equations with general coefficients in flow problems. Furthermore, the iterative route has been discussed in detail. To confirm availability of this algorithm, a series of calculations for a typical lid-driven cavity flow are performed. It demonstrates that comparing to the SOR iterative method, current FV-pSOR iterative method improves the computation efficiency several folds while the accuracy is not degraded. © 2019, Shanghai Jiao Tong University Press. All right reserved.
引用
收藏
页码：681 / 687
页数：6
相关论文
共 12 条
  • [1] Guo Z., Ma Q., Hu X., Seakeeping analysis of a wave-piercing catamaran using URANS-based method, International Journal of Offshore & Polar Engineering, 26, 1, pp. 48-56, (2016)
  • [2] Tezdogan T., Incecik A., Turan O., Full-scale unsteady RANS simulations of vertical ship motions in shallow water, Ocean Engineering, 123, pp. 131-145, (2016)
  • [3] Zhou Y.H., Ma N., Shi X., Et al., Direct calculation method of roll damping based on three-dimensional CFD approach, Journal of Hydrodynamics, 27, 2, pp. 176-186, (2015)
  • [4] Avalos G.O.G., Wanderley J.B.V., Fernandes A.C., Et al., Roll damping decay of a FPSO with bilge keel, Ocean Engineering, 87, pp. 111-120, (2014)
  • [5] Keyes D.E., Gropp W.D., A comparison of domain decomposition techniques for elliptic partial differen-tial equations and their parallel implementation, SIAM Journal on Scientific and Statistical Computing, 8, 2, pp. 166-202, (1987)
  • [6] Walker E., Nikitopoulos D., Tromeur-Dervout D., Parallel solution methods for Poisson-like equations in two-phase flows, Computers & Fluids, 80, pp. 152-157, (2013)
  • [7] Notay Y., Napov A., A massively parallel solver for discrete Poisson-like problems, Journal of Computational Physics, 281, pp. 237-250, (2015)
  • [8] Xu K.L., Yang P., Jiang Y.L., Structure-pre-serving model reduction of second-order systems by Krylov subspace methods, Journal of Applied Mathematics & Computing, 5, pp. 1-18, (2017)
  • [9] Lemmer A., Hilfer R., Parallel domain decomposition method with non-blocking communication for flow through porous media, Journal of Computational Physics, 281, pp. 970-981, (2015)
  • [10] Xu Q., Zhang X., A multi-subdomain parallel super over relaxation iterative algorithm for solving Poisson equation, Journal of Ningxia University (Natural Science Edition), 34, 2, pp. 97-100, (2013)
12