Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Natural convection in porous annular domains: Mimetic scheme and family of steady states
Date
2012-04-01
Author
Karasözen, Bülent
Tsybulin, Vyacheslav G.
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
155
views
0
downloads
Cite This
Natural convection of the incompressible fluid in the porous media based on the Darcy hypothesis (Lapwood convection) gives an intriguing branching off of one-parameter family of steady patterns. This scenario may be suppressed in computations when governing equations are approximated by schemes which do not preserve the cosymmetry property. We consider the problem for the annular porous domain in polar coordinates and derive a mimetic finite-difference scheme. This scheme allows to compute the family of convective regimes accurately and to detect the instabilities on some parts of the family.
Subject Keywords
Natural convection
,
Darcy law
,
Porous medium
,
Mimetic scheme
,
Finite-difference method
,
Family of steady states
,
Cosymmetry
URI
https://hdl.handle.net/11511/30165
Journal
JOURNAL OF COMPUTATIONAL PHYSICS
DOI
https://doi.org/10.1016/j.jcp.2012.01.004
Collections
Graduate School of Applied Mathematics, Article
Suggestions
OpenMETU
Core
Convection in a Porous Medium and Mimetic Scheme in Polar Coordinates
Karasözen, Bülent; Tsybulin, Vyacheslav (2011-09-09)
Analytical investigation of natural convection of the incompressible fluid in the porous media based on the Darcy hypothesis (Lapwood convection) gives intriguing branching off of one-parameter family of convective patterns. This scenario may be suppressed in computations when governing equations are approximated by schemes which do not preserve the cosymmetry property. We consider the problem in polar coordinates and construct a mimetic finite-difference scheme using computer algebra tools. The family of s...
Destruction of the family of steady states in the planar problem of Darcy convection
Tsybulin, V. G.; Karasözen, Bülent (2008-08-25)
We consider natural convection of an incompressible fluid in a porous medium described by the planar Darcy equation. For some boundary conditions, Darcy problem may have non-unique solutions in form of a continuous family of steady states. We are interested in the situation when these boundary conditions are violated. The resulting destruction of the family of steady states is studied via computer experiments based on a mimetic finite-difference approach. Convection in a rectangular enclosure is considered ...
Staggered grids discretization in three-dimensional Darcy convection
Karasözen, Bülent; Tsybulin, V. G. (2008-06-15)
We consider three-dimensional convection of an incompressible fluid saturated in a parallelepiped with a porous medium. A mimetic finite-difference scheme for the Darcy convection problem in the primitive variables is developed. It consists of staggered nonuniform grids with five types of nodes, differencing and averaging operators on a two-nodes stencil. The nonlinear terms are approximated using special schemes. Two problems with different boundary conditions are considered to study scenarios of instabili...
Cosymmetric families of steady states in Darcy convection and their collision
Karasözen, Bülent (2004-03-15)
Natural planar convection of incompressible fluid in a porous medium, the Darcy model is studied. This problem belongs to the class of cosymmetric systems for whose an emergence of a continuous family of steady states (equilibria) is possible. We study the evolution of several families of steady states in the case of wide enclosure and analyze new effects of collision and reorganization of such families.
Cosymmetry preserving finite-difference methods for convection equations in a porous medium
Karasözen, Bülent (2005-09-01)
The finite-difference discretizations for the planar problem of natural convection of incompressible fluid in a porous medium which preserve the cosymmetry property and discrete symmetries are presented. The equations in stream function and temperature are computed using staggered and non-staggered schemes in uniform and nonuniform rectangular grids. (c) 2004 IMACS. Published by Elsevier B.V. All rights reserved.
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
B. Karasözen and V. G. Tsybulin, “Natural convection in porous annular domains: Mimetic scheme and family of steady states,”
JOURNAL OF COMPUTATIONAL PHYSICS
, pp. 2995–3005, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/30165.