Solving 2-D buoyancy-driven cavity flow on collocated meshes by perturbational finite volume scheme

Minguo Dai, Zhi Gao

doi:10.6052/0459-1879-2006-6-2005-072

Volume 38 Issue 6

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Chinese Journal of Theoretical and Applied Mechanics > 2006 > 38(6): 733-740. > DOI: 10.6052/0459-1879-2006-6-2005-072 CSTR: 32045.14.0459-1879-2006-6-2005-072

Minguo Dai, Zhi Gao. Solving 2-D buoyancy-driven cavity flow on collocated meshes by perturbational finite volume scheme[J]. Chinese Journal of Theoretical and Applied Mechanics, 2006, 38(6): 733-740. DOI: 10.6052/0459-1879-2006-6-2005-072

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Solving 2-D buoyancy-driven cavity flow on collocated meshes by perturbational finite volume scheme

Minguo Dai, Zhi Gao

Received Date: January 31, 2005
Revised Date: August 02, 2005

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The buoyancy-driven cavity flow in the case of $Ra=10^{3}$ to $Ra=10^{8}$ is numerically simulated with the upwind typeof perturbation finite volume (UPFV) scheme for the convective and diffusiveequations initiated by the second author. The UPFV scheme for diffusive andconvective equations takes the same concise expressions and uses thesame nodes as the upwind scheme of the first order and high approximateaccuracy of reconstruction can be achieved. Especially, theUPFV scheme is identical for uniform grid and non-uniform grid regardlessof the distance from the CV center to the common face. The results of numericalsimulations to buoyancy-driven cavity flows by UPFV are consistent withthese by spectral method and finite element method and DSC in the range from $Ra=10^{3}$ to $Ra=10^{8}$ with uniform or non-uniform structured grid. It shows that thePFV scheme is valid and can be applied for the heat convection and transferproblems.
- collocated grid,
- structured grid,
- perturbation finite volume scheme,
- natural convection,
- SIMPLE algorithm revised by Date

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