Numerical Approach to Solving Problems of Two-Phase Multicomponent Flow in Porous Medium Based on Finite Volume Method

2016 ◽  
Vol 685 ◽  
pp. 80-84 ◽  
Author(s):  
Denis O. Dil ◽  
Aleksey M. Bubenchikov
Keyword(s):  
Porous Medium ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Numerical Approach ◽  
Convective Transport ◽  
Gas Mixture ◽  
Two Phase ◽  
Two Dimensional Flow ◽  
Transport Approximation ◽  
Volume Method

The article describes the numerical approach uniting finite volume method, Newton method and one of the MUSCL-type schemes for convective transport approximation for gas mixture components concentrations displaced by the water out of the porous medium. Numerical and analytical solutions for the case of radial two-dimensional flow of incompressible gas mixture and water have been compared. The obtained results allow considering the offered algorithm to be effective.

scholarly journals An adaptive finite-volume method for a model of two-phase pedestrian flow

2011 ◽  
Vol 6 (3) ◽  
pp. 401-423 ◽  
Author(s):  
Stefan Berres ◽  
◽  
Ricardo Ruiz-Baier ◽  
Hartmut Schwandt ◽  
Elmer M. Tory ◽  
...  
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Pedestrian Flow ◽  
Two Phase ◽  
Volume Method

Higher Resolution Hybrid-Upwind Spectral Finite-Volume Methods, for Flow in Porous and Fractured Media on Unstructured Grids

2021 ◽  
Author(s):  
Yawei Xie ◽  
Michael G. Edwards
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Unstructured Grids ◽  
Concentration Field ◽  
Convective Transport ◽  
High Order ◽  
Spectral Volume ◽  
Flux Approximation ◽  
Triangular Cell ◽  
Volume Method

Abstract A novel higher resolution spectral volume method coupled with a control-volume distributed multi-Point flux approximation (CVD-MPFA) is presented on unstructured triangular grids for subsurface reservoir simulation. The flow equations involve an essentially hyperbolic convection equation coupled with an elliptic pressure equation resulting from Darcy’s law together with mass conservation. The spectral volume (SV) method is a locally conservative, efficient high-order finite volume method for convective flow. In 2D geometry, the triangular cell is subdivided into sub-cells, and the average state variables in the sub-cells are used to reconstruct a high-order polynomial in the triangular cell. The focus here is on an efficient strategy for reconstruction of both a higher resolution approximation of the convective transport flux and Darcy-flux approximation on sub-cell interfaces, which is also coupled with a discrete fracture model. The strategy involves coupling of the SV method and reconstructed CVD-MPFA fluxes at the faces of the spectral volume, to obtain an efficient finer scale higher resolution finite-volume method which solves for both the saturation and pressure. A limiting procedure based on a Barth-Jespersen type limiter is used to prevent non-physical oscillations on unstructured grids. The fine scale saturation/concentration field is then updated via the reconstructed finite volume approximation over the sub-cell control-volumes. Performance comparisons are presented for two phase flow problems on 2D unstructured meshes including fractures. The results demonstrate that the spectral-volume method achieves further enhanced resolution of flow and fronts in addition to that of achieved by the standard higher resolution method over first order upwind, while improving upon efficiency.

A HLLC-type finite volume method for incompressible two-phase flows

2020 ◽  
Vol 213 ◽  
pp. 104715
Author(s):  
Rihua Yang ◽  
Heng Li ◽  
Aiming Yang
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Two Phase Flows ◽  
Two Phase ◽  
Volume Method

Numerical model of two-phase mechanical face seal with shallow grooves based on finite volume method

2020 ◽  
Vol 72 (10) ◽  
pp. 1303-1309
Author(s):  
Wenbin Gao ◽  
Weifeng Huang ◽  
Tao Wang ◽  
Ying Liu ◽  
Zhihao Wang ◽  
...  
Keyword(s):  
Flow Field ◽  
Phase Change ◽  
Finite Volume Method ◽  
Peer Review ◽  
Finite Volume ◽  
Fluid Model ◽  
Mechanical Seal ◽  
Two Phase ◽  
Content Type ◽  
Volume Method

Purpose By modeling and analyzing the two-phase mechanical seal of the fan-shaped groove end face, which is prone to phase change, an effective method to study the flow field of the mechanical seal when both cavitation and boiling exist simultaneously is found. Design/methodology/approach Based on the finite volume method, a fluid model was developed to investigate a two-phase mechanical seal. The validity of the proposed model was verified by comparing with some classical models. Findings By modeling and analyzing the two-phase mechanical seal of the fan-shaped groove end face, which is prone to phase change, the analysis of the gap flow field of the mechanical seal was realized when cavitation and boiling existed simultaneously. Originality/value Based on the model proposed for different conditions, the pressure and phase states in the shallow groove sealing gap were compared. The phase change rate between the mechanical seal faces was also investigated. Peer review The peer review history for this article is available at: https://publons.com/publon/10.1108/ILT-12-2019-0537/

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