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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >EFFICIENT AND ROBUST MATRIX SOLVER FOR THE PRESSURE-CORRECTION EQUATIONS IN TWO- AND THREE-DIMENSIONAL FLUID FLOW PROBLEMS
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EFFICIENT AND ROBUST MATRIX SOLVER FOR THE PRESSURE-CORRECTION EQUATIONS IN TWO- AND THREE-DIMENSIONAL FLUID FLOW PROBLEMS

机译：二维和三维流体流动问题中压力修正方程的高效鲁棒矩阵求解器

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摘要

When fluid flow problems are solved by the SIMPLE-like sequential procedures, most of the computing time is spent on handling the pressure-correction equation. As a result the overall efficiently of those sequential procedures is strongly dependent on how good is the matrix solver for the pressure correction equation. In this article, a modified conjugate gradient solver (MCGS) is presented that is specially tuned to solve the pressure-correction equations arising from both two- and three-dimensional fluid flow problems. A new solver described here takes the advantages of conjugate gradient solver (CGS) and strongly implicit procedure (SIP) But eliminates the disadvantages of each. In contrast to the SIP, the present MCGS adopts the partial cancellation of zeroth order and is insensitive to variation of the cancellation parameter. In general, MCGS can be two or three times faster than CGS but is an order of magnitude faster than STP and block-corrected ADI in treating large-scale problems. [References: 12]
机译：当通过类似SIMPLE的顺序过程解决流体流动问题时，大部分计算时间都花在了处理压力校正方程上。结果，这些顺序过程的整体效率在很大程度上取决于压力校正方程的矩阵求解器的质量。在本文中，提出了一种经过改进的共轭梯度求解器（MCGS），该共轭梯度求解器经过专门调整以解决二维和三维流体流动问题引起的压力校正方程。这里描述的新求解器利用了共轭梯度求解器（CGS）和强隐式过程（SIP）的优点，但是消除了它们各自的缺点。与SIP相反，当前的MCGS采用零阶的部分抵消，并且对抵消参数的变化不敏感。通常，在处理大规模问题时，MCGS可以比CGS快两到三倍，但比STP和块校正的ADI快一个数量级。 [参考：12]

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