Filtration of viscous fluid in homogeneous domain with mixed boundary condition

DOI10.1134/S1995080221060305zbMath1468.76066OpenAlexW3179368558MaRDI QIDQ2039059

R. M. Tretiakova

Publication date: 8 July 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080221060305

zbMATH Keywords

collocation methodintegral equationpotential theoryDarcy-Brinkman lawpiecewise-constant approximation

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Basic methods in fluid mechanics (76M99)

Cites Work

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• Simulation of the aerodynamics of buildings and structures by means of the closed vortex loop method
• Methods of potential theory in a filtration problem for a viscous fluid
• The method of relocation of boundary condition for the problem of electromagnetic wave scattering by perfectly conducting thin objects
• Mathematical modelling of the three-dimensional boundary value problem of the discharge of the well system in a homogeneous layer
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles

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