Parallel Iterative Linear solvers for Oil Reservoir Models
Parallel Iterative Linear solvers for Oil Reservoir Models
复制标题
油藏模型的并行迭代线性求解器
DOI：
10.1147/rd.302.0184
复制
发表时间：
1986
影响因子：
1.3
通讯作者：
Miron Tismentetsky
中科院分区：
文献类型：
--
作者：
I. Efrat;Miron Tismentetsky
本文提出了一种求解稀疏线性系统的新算法，该算法易于并行化，对油藏建模等领域中出现的矩阵求解非常有效。该算法实际上是不完全块分解技术的一种变体，通过双共轭梯度迭代或其他加速方法加速。描述了在诸如IBM 3090 vector Facility之类的矢量计算机上的实现。我们还建议对已知的预处理方法进行一些改进，使其能够并行计算。通过数值实验验证了所提方法的有效性。特别注意的是完全隐式，多相模型产生不对称的系统。
This paper suggests a new algorithm for solving sparse linear systems which is readily parallelized and is very efficient for matrices arising in such domains as reservoir modeling. The algorithm is, in fact, a variant of the incomplete block factorization technique, accelerated by Biconjugate Gradient iterations or by another acceleration method. Implementation on a vector computer such as the IBM 3090 Vector Facility is described. We also suggest some refinements of known preconditioning methods enabling their parallel computation. Numerical experiments are presented to display the performance of the suggested methods. Special attention is given to fully implicit, multiphase models which yield asymmetrical systems.