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首页> 外文期刊>Engineering analysis with boundary elements >Parallel multiple BEM simulation of two-dimensional suspension flows
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Parallel multiple BEM simulation of two-dimensional suspension flows

机译：二维悬浮液的并行多重BEM模拟

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摘要

The motion of a large number of cylinders of circular cross-section in various two-dimensional flows is studied using a completed doublelayer indirect boundary integral formulation. This type of formulation. with specified velocity boundary conditions, results in a Fredholm integral equation of the second kind. Discretization of this type of equation procedures linear systems which are generally well-conditioned and suitable for iterative solution. However, the equilibrium and rigid body motion equations necessary to close the system disrupt the diagonal dominance of the matrix, resulting in high condition numbers. A preconditioned based on the known structure of the matrix is used to significantly reduce the condition number, to a point where the number of iterations to achieve a solution is independent of the number of parties in the system.
机译：使用完成的双层间接边界积分公式研究了各种二维流动中大量圆形截面圆柱的运动。这种类型的配方。在指定的速度边界条件下，得出第二种Fredholm积分方程。这类方程的离散化处理线性系统，该线性系统通常条件良好，并且适合迭代求解。但是，关闭系统所需的平衡运动和刚体运动方程式破坏了矩阵的对角线优势，从而导致较高的条件数。使用基于矩阵的已知结构进行的预处理可显着减少条件数，以达到实现解决方案的迭代数与系统中参与方数无关的程度。

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