TY - JOUR
T1 - A non-conforming computational methodology for modeling coupled problems
AU - Aulisa, E.
AU - Manservisi, S.
AU - Seshaiyer, P.
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2005/11/30
Y1 - 2005/11/30
N2 - A variety of engineering applications that involve coupling different physical phenomena, often require detailed finite element analysis to be carried out over complex domains. Often such analysis may be accomplished by dividing the global domain into several local subdomains over each of which a local model can be analyzed independently. The global solution can then be constructed by suitably piecing together local solutions from these individually modeled subdomains. However, during the assembly, it is often too cumbersome, or even infeasible, to coordinate the meshes over separate subdomains. One must therefore, employ non-conforming techniques to accomplish such modeling. In this paper, we develop a non-conforming computational methodology via the mortar finite element method to solve a coupled problem where we are interested in determining the effects of temperature variations on a given flow or the transfer of heat within the flow. Using this method the solution over different subdomains with different multigrid levels is efficiently computed. Our numerical results clearly suggest that the proposed methodology is robust and stable.
AB - A variety of engineering applications that involve coupling different physical phenomena, often require detailed finite element analysis to be carried out over complex domains. Often such analysis may be accomplished by dividing the global domain into several local subdomains over each of which a local model can be analyzed independently. The global solution can then be constructed by suitably piecing together local solutions from these individually modeled subdomains. However, during the assembly, it is often too cumbersome, or even infeasible, to coordinate the meshes over separate subdomains. One must therefore, employ non-conforming techniques to accomplish such modeling. In this paper, we develop a non-conforming computational methodology via the mortar finite element method to solve a coupled problem where we are interested in determining the effects of temperature variations on a given flow or the transfer of heat within the flow. Using this method the solution over different subdomains with different multigrid levels is efficiently computed. Our numerical results clearly suggest that the proposed methodology is robust and stable.
KW - Coupled processes
KW - Multigrid
KW - Navier-stokes
UR - http://www.scopus.com/inward/record.url?scp=28044472262&partnerID=8YFLogxK
U2 - 10.1016/j.na.2005.01.052
DO - 10.1016/j.na.2005.01.052
M3 - Article
AN - SCOPUS:28044472262
VL - 63
SP - e1445-e1454
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
SN - 0362-546X
IS - 5-7
ER -