Numerical Solution of a Stationary Filtration Problem of Viscous Fluid in a Piecewise Homogeneous Porous Medium by Applying the Boundary Integral Equation Methodстатья
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Аннотация:A numerical method based on boundary integral equations is constructed for simulatingthree-dimensional stationary filtration flow through a homogeneous porous medium with homogeneousinclusions. The flow is simulated taking into account the viscosity of the fluid. Boundary integralequations are written on the outer boundary of the flow region and on the boundary surfaces ofthe inclusions. The integral equations are solved numerically using the methods of piecewise constantapproximation and collocations. The numerical method is tested on model problems.