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

doi:10.16183/j.cnki.jsjtu.2019.06.007

Abstract

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

CLC Number:

U 661

ZHANG Xiaohui,BAI Junli,GU Xiechong,MA Ning. An Explicit Parallel Successive Over-Relaxation Method for Simulation of 2-Dimensional Incompressible Flows[J]. Journal of Shanghai Jiaotong University, 2019, 53(6): 681-687.

References

［1］GUO Z, MA Q, HU X. Seakeeping analysis of a wave-piercing catamaran using URANS-based method［J］. International Journal of Offshore & Polar Engineering, 2016, 26(1): 48-56. ［2］TEZDOGAN T, INCECIK A, TURAN O. Full-scale unsteady RANS simulations of vertical ship motions in shallow water［J］. Ocean Engineering, 2016, 123: 131-145. ［3］ZHOU Y H, MA N, SHI X, et al. Direct calculation method of roll damping based on three-dimensional CFD approach［J］. Journal of Hydrodynamics, 2015, 27(2): 176-186. ［4］AVALOS G O G, WANDERLEY J B V, FERNANDES A C, et al. Roll damping decay of a FPSO with bilge keel［J］. Ocean Engineering, 2014, 87: 111-120. ［5］KEYES D E, GROPP W D. A comparison of domain decomposition techniques for elliptic partial differen-tial equations and their parallel implementation ［J］. SIAM Journal on Scientific and Statistical Computing, 1987, 8(2): 166-202. ［6］WALKER E, NIKITOPOULOS D, TROMEUR-DERVOUT D. Parallel solution methods for Poisson-like equations in two-phase flows［J］. Computers & Fluids, 2013, 80: 152-157. ［7］NOTAY Y, NAPOV A. A massively parallel solver for discrete Poisson-like problems［J］. Journal of Computational Physics, 2015, 281: 237-250. ［8］XU K L, YANG P, JIANG Y L. Structure-pre-serving model reduction of second-order systems by Krylov subspace methods［J］. Journal of Applied Mathematics & Computing, 2017(5): 1-18. ［9］LEMMER A, HILFER R. Parallel domain decomposition method with non-blocking communication for flow through porous media［J］. Journal of Computational Physics, 2015, 281: 970-981. ［10］许秋燕, 张现强. 求解泊松方程的多子域超松弛并行迭代算法［J］. 宁夏大学学报(自然科学版), 2013, 34(2): 97-100. XU Qiuyan, ZHANG Xianqiang. A multi-subdomain parallel super over relaxation iterative algorithm for solving Poisson equation［J］. Journal of Ningxia University (Natural Science Edition), 2013, 34(2): 97-100. ［11］BAI J L, MA N, GU X C. Fourth order compact finite volume scheme for water wave simulation［C］//The 18th Academic Symposium on China’s Marine Engineering. Zhoushan, China: Chinese Society of Oceanography, 2017: 101-106. ［12］GHIA U, GHIA K N, SHIN C T. High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method［J］. Journal of Computational Physics, 1982, 48(3): 387-411.

[1]	ZHANG Xiaosong,WAN Decheng. Why Does a Wide Range of White Foam Appear Around Moving Ships? [J]. Journal of Shanghai Jiao Tong University, 2021, 55(Sup.1): 65-66.
[2]	GUO Jun,CHEN Zuogang,DAI Yuanxing,CHEN Jianping. Research and Application of the Capture Area Obtaining Method for Waterjet [J]. Journal of Shanghai Jiaotong University, 2020, 54(1): 1-9.
[3]	YE Liyu, WANG Chao, GUO Chunyu, CHANG Xin. Strength Check Method of Blade Edge Under Concentrated Ice Load Condition [J]. Journal of Shanghai Jiaotong University, 2020, 54(1): 10-19.
[4]	LI Jinlong,YOU Yunxiang,CHEN Ke. Application of a Geometric VOF Method in the Simulations of Sloshing Flow [J]. Journal of Shanghai Jiaotong University, 2019, 53(8): 943-951.
[5]	LIU Dongxi,ZHUANG Suguo,WANG Jin,YOU Yunxiang. Numerical Investigation of Three-Layer Liquid Sloshing in a Rectangular Tank [J]. Journal of Shanghai Jiaotong University, 2019, 53(8): 952-956.
[6]	SONG Kewei,GUO Chunyu,GONG Jie,LI Ping,WANG Wei. Numerical Study on the Effect of Interceptors on the Resistance and Wake Field of Twin-Screw Ship [J]. Journal of Shanghai Jiaotong University, 2019, 53(8): 957-964.
[7]	ZHAO Dongya,HU Zhiqiang,CHEN Gang. Coupling Effects of Liquid Loading Vessels in the Floating Liquefied Natural Gas System [J]. Journal of Shanghai Jiaotong University, 2019, 53(5): 540-548.
[8]	LIU Yi,ZOU Zaojian,GUO Haipeng. Numerical Simulation of Oblique-Towing Test for a Fully Appended Ship Model Based on Two Propeller Modelling Methods [J]. Journal of Shanghai Jiaotong University, 2019, 53(4): 423-430.
[9]	OU Shan，MAO Xiaofei，LIU Zuyuan，HUANG Tianqi，YU Zeshuang. Roll Damping of Damaged Ship Based on OpenFOAM [J]. Journal of Shanghai Jiaotong University, 2019, 53(3): 305-314.
[10]	LI Qing,YU Han,YANG Deqing. Coupled Sound Field Calculating Method for Ship Underwater Noise Excited by Multiple Categories of Vibration and Sound Sources [J]. Journal of Shanghai Jiaotong University, 2019, 53(2): 161-169.
[11]	YU Honggan,HUANG Xiaoping,ZHANG Yongkuang. Fatigue Life Prediction of a Hatch Corner Based on the Spectral Analysis and Fatigue Crack Growth Approaches [J]. Journal of Shanghai Jiaotong University, 2019, 53(2): 153-160.
[12]	GUO Chunyu，LIU Tian，ZHAO Qingxin，HAO Haohao. The Analysis of Nominal Wake Flow Characteristics in Short Wave [J]. Journal of Shanghai Jiaotong University, 2019, 53(2): 170-178.
[13]	YU Pengyao,ZHAO Yong,WANG Tianlin,ZHEN Chunbo,SU Shaojuan. Water Entry of an Elastic Wedge Based on a Semi-Analytical Slamming Model [J]. Journal of Shanghai Jiaotong University, 2019, 53(2): 179-187.
[14]	CHEN Min, CHEN Ke, YOU Yunxiang, LI Fei. Prediction of Internal Solitary Wave Loads on NANHAI 8 Semi-Submersible Platform [J]. Journal of Shanghai Jiao Tong University, 2019, 53(1): 42-48.
[15]	YAO Huilan, ZHANG Huaixin. Improvements of Scaling Method Recommended by ITTC at a Lower Reynolds Number Range [J]. Journal of Shanghai Jiao Tong University, 2019, 53(1): 35-41.

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

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments