Stability of convective flows in cavities: solution of benchmark problems by a low-order finite volume method

2006 ◽  
Vol 53 (3) ◽  
pp. 485-506 ◽  
Author(s):  
Alexander Yu. Gelfgat
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Benchmark Problems ◽  
Convective Flows ◽  
Volume Method ◽  
Low Order

A Finite Volume Method for the Two-dimensional Stationary Navier — Stokes System

2006 ◽  
Vol 6 (2) ◽  
pp. 134-153
Author(s):  
K. Djadel ◽  
S. Nicaise
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Stokes System ◽  
Mesh Size ◽  
Analytic Solutions ◽  
Navier Stokes ◽  
Benchmark Problems ◽  
Error Norm ◽  
Energy Error ◽  
Volume Method

AbstractIn this paper we extend to the stationary incompressible Navier — Stokes system in dimension two the results obtained in [14, 26] for a cell-centered finite volume method applied to the stationary incompressible Stokes system. Here the nonlinear term is discretized as in [15]. We prove that the energy error norm is bounded by h, where h is the mesh size, under the standard assumption that the datum is small enough with respect to the viscosity parameter. Numerical tests on examples with analytic solutions and on standard benchmark problems from fluid mechanics are presented and confirm the theoretical results.

A Finite-Volume Method for Predicting a Radiant Heat Transfer in Enclosures With Participating Media

1990 ◽  
Vol 112 (2) ◽  
pp. 415-423 ◽  
Author(s):  
G. D. Raithby ◽  
E. H. Chui
Keyword(s):  
Heat Transfer ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Radiant Heat ◽  
Computational Grids ◽  
Benchmark Problems ◽  
Radiant Heat Transfer ◽  
Test Results ◽  
Participating Media ◽  
Volume Method

A new “finite-volume” method is proposed to predict radiant heat transfer in enclosures with participating media. The method can conceptually be applied with the same nonorthogonal computational grids used to compute fluid flow and convective heat transfer. A fairly general version of the method is derived, and details are illustrated by applying it to several simple benchmark problems. Test results indicate that good accuracy is obtained on coarse computational grids, and that solution errors diminish rapidly as the grid is refined.

A Staggered Update Procedure (SUP) for Higher Order Cell-centre Finite Volume Method

2020 ◽  
Author(s):  
Shubhashree Subudhi ◽  
Balakrishnan Narayanarao
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Higher Order ◽  
Volume Method ◽  
Cell Centre

A Vertex-centered Finite Volume Method with Sharp Interface Capturing for Compressible Two-phase Flows

2021 ◽  
Author(s):  
Lingquan Li ◽  
Rainald Lohner ◽  
Aditya Pandare ◽  
Hong Luo
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Sharp Interface ◽  
Two Phase Flows ◽  
Two Phase ◽  
Interface Capturing ◽  
Volume Method
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