Abstract
The diffuse approximation is presented and applied to natural convection problems in porous media. A comparison with the control volume-based finite-element method shows that, overall, the diffuse approximation appears to be fairly attractive.
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Abbreviations
- H :
-
height of the cavities
- I :
-
functional
- K :
-
permeability
- 〈p(M i ,M)〉 :
-
line vector of monomials
- p T :
-
p-transpose
- M :
-
current point
- Nu:
-
Nusselt number
- Ri:
-
inner radius
- Ro:
-
outer radius
- Ra:
-
Rayleigh number
- x, y :
-
cartesian coordinates
- u, v :
-
velocity components
- T :
-
temperature
- 〈αM〉 :
-
vector of estimated derivatives
- α t :
-
thermal diffusivity
- β :
-
coefficient of thermal expansion
- σ:
-
practical aperture of the weighting function
- ϕ:
-
scalar field
- ω(M, M i ):
-
weighting function
- Ψ:
-
streamfunction
- ν:
-
kinematic viscosity
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Prax, C., Sadat, H. & Salagnac, P. Diffuse approximation method for solving natural convection in porous media. Transp Porous Med 22, 215–223 (1996). https://doi.org/10.1007/BF01143516
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DOI: https://doi.org/10.1007/BF01143516