Abstract

A numerical method based on boundary integral equations is constructed for simulating three-dimensional stationary filtration flow through a homogeneous porous medium with homogeneous inclusions. The flow is simulated taking into account the viscosity of the fluid. Boundary integral equations are written on the outer boundary of the flow region and on the boundary surfaces of the inclusions. The integral equations are solved numerically using the methods of piecewise constant approximation and collocations. The numerical method is tested on model problems.

中文翻译：

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应用边界积分方程法数值求解粘性均质多孔介质在分段均质渗流中的问题

摘要

构造了一种基于边界积分方程的数值方法，用于模拟三维均质过滤流过均质夹杂物的均质多孔介质的流动。在考虑流体粘度的情况下模拟流量。边界积分方程写在流动区域的外边界和夹杂物的边界面上。使用分段常数逼近和搭配的方法对积分方程进行数值求解。数值方法在模型问题上进行了测试。