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BLOCK ITERATIVE METHODS FOR LINEAR ALGEBRAIC EQUATION AND DOMAIN DECOMPOSITION METHOD FOR INCOMPRESSIBLE VISCOUS FLOW 被引量:5

BLOCK ITERATIVE METHODS FOR LINEAR ALGEBRAIC EQUATION AND DOMAIN DECOMPOSITION METHOD FOR INCOMPRESSIBLE VISCOUS FLOW
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摘要 It was proved numerically that the Domain Decomposition Method CDDM) with one layer overlapping grids is identical to the block iterative method of linear algebra equations. The results obtained by using DDM could be in reasonable agreement with the results of full-domain simulation. With the three dimensional solver developed by the authors, the flow field in a pipe was simulated by using the full-domain DDM with one layer overlapping grids and with patched grids respectively. Both of the two cases led to the convergent solution. Further research shows the superiority of the DDM with one layer overlapping grids to the DDM with patched grids. A comparison between the numerical results obtained by the authors and the experimental results given by Enayet[3] shows that the numerical results are reasonable. It was proved numerically that the Domain Decomposition Method CDDM) with one layer overlapping grids is identical to the block iterative method of linear algebra equations. The results obtained by using DDM could be in reasonable agreement with the results of full-domain simulation. With the three dimensional solver developed by the authors, the flow field in a pipe was simulated by using the full-domain DDM with one layer overlapping grids and with patched grids respectively. Both of the two cases led to the convergent solution. Further research shows the superiority of the DDM with one layer overlapping grids to the DDM with patched grids. A comparison between the numerical results obtained by the authors and the experimental results given by Enayet[3] shows that the numerical results are reasonable.
机构地区 Dept. of Mech.
出处 《Journal of Hydrodynamics》 SCIE EI CSCD 2002年第4期73-80,共8页 水动力学研究与进展B辑(英文版)
基金 ProjectsupportedbytheNationalNaturalScienceFoundationofChina.(GrantNo :19972 0 61)
关键词 Computational fluid dynamics Computer simulation Iterative methods Linear equations Viscous flow Computational fluid dynamics Computer simulation Iterative methods Linear equations Viscous flow
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参考文献1

  • 1Abdallah S.1987: Numerical Solutions for Pressure Poisson Equation with Neumann Boundary Condition Using a NonStaggered Grid, J[].Comparative Biochemistry and Physiology.

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