Journal of Shanghai Jiaotong University ›› 2019, Vol. 53 ›› Issue (6): 681-687.doi: 10.16183/j.cnki.jsjtu.2019.06.007

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

ZHANG Xiaohui,BAI Junli,GU Xiechong,MA Ning   

  1. State Key Laboratory of Ocean Engineering; Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration; School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
  • Online:2019-06-28 Published:2019-07-23

Abstract: 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.

Key words: group explicit; successive over-relaxation (SOR); parallel computation; finite volume; domain decomposition

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