Pressure-correction projection method for modelling the incompressible fluid flow in porous media-Reference-Cited by-同舟云学术

Pressure-correction projection method for modelling the incompressible fluid flow in porous media

Published:2023-08-01 Issue:4 Volume:38 Page:241-265
ISSN:1569-3988
Container-title:Russian Journal of Numerical Analysis and Mathematical Modelling
language:en
Short-container-title:

Author:

Terekhov Kirill M.¹²³

Affiliation:

1. Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences , Moscow , Russia

2. Moscow Institute of Physics and Technology , Dolgoprydny , Russia

3. Sirius University of Science and Technology , Sochi , Russia

Abstract

Abstract This work is dedicated to the pressure-correction projection method for the volume-averaged Navier–Stokes system for porous media. A set of parameters controlling the presence of inertia and viscosity is introduced into the system. Switching parameters allows us to reduce the system to either the Brinkman system or the Darcy equation. Considering the jump in the parameters between mesh cells allows capturing the contact of media of different types, such as free-flow and porous media flow. We apply Chorin’s projection method to decouple the system. The splitting of the system yields a momentum conservation equation and an anisotropic pressure correction equation. We propose a combination of collocated finite-volume methods to solve the problem.

Publisher

Walter de Gruyter GmbH

Subject

Modeling and Simulation,Numerical Analysis

Link

https://www.degruyter.com/document/doi/10.1515/rnam-2023-0019/pdf

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