Seminar “Filtration of viscous fluid in homogeneous domain with mixed boundary condition”

Seminar “Filtration of viscous fluid in homogeneous domain with mixed boundary condition”

The event passed
15 Oct 2020
Location
Online
About the event

15 October, at 16:30 MSK

A three-dimensional problem of viscous fluid filtration in domain containing homogeneous porous medium is considered. Filtration flow is described by Darcy-Brinkman law. The boundary of the medium is divided into parts with either no-leak condition or condition on velocity vector flux or pressure. Integral representation for velocity and pressure of fluid is constructed with methods of potential theory. System of integral equations satisfying boundary conditions is solved numerically with piecewise-constant approximation and collocation method. The numerical scheme is tested on problems with different boundary conditions. The effect of viscosity on the flow is also studied. The tests demonstrate high accuracy of numerical method.

Speaker

Tretiakova Rufina Maximovna, Marchuk Institute of Numerical Mathematics, junior researcher.

Topic: Filtration of viscous fluid in homogeneous domain with mixed boundary condition.

Online

Related eventsAll events
2023
15 Mar
International Scientific Seminar «Landscape engineering and nature-based technologies»
2023
14 Mar
Seminar “On the spectral theory of 1D Schrödinger and Dirac operators with point interactions and quantum graphs”
2023
16 Mar
Seminar on mathematical modeling in biology and medicine on topic “Continuous mathematical models of blood flow and their applications”
2023
14 Mar
Seminar on nonlinear problems of PDE and mathematical physics on topic: “Nonlinear second order degenerate parabolic equation: existence theorem and exact solutions”