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Titolo: A VARIATIONALBOUND NIPELEMENT METHOD FOR GEOMETRICALLY STIFF PROBLEMS  APPLICATION TO THERMAL COMPOSITES AND POROUSMEDIA
Autore: CRUZ ME; GHADDAR CK; PATERA AT;
 Indirizzi:
 MIT,DEPT MECH ENGN CAMBRIDGE MA 02139
 Titolo Testata:
 Proceedings  Royal Society. Mathematical and physical sciences
fascicolo: 1935,
volume: 449,
anno: 1995,
pagine: 93  122
 SICI:
 09628444(1995)449:1935<93:AVNMFG>2.0.ZU;27
 Fonte:
 ISI
 Lingua:
 ENG
 Soggetto:
 TRANSPORT PROCESSES; RANDOM ARRAYS; CYLINDERS; FLOW; CONDUCTIVITY; STEADY; BODY;
 Tipo documento:
 Article
 Natura:
 Periodico
 Settore Disciplinare:
 Science Citation Index Expanded
 Science Citation Index Expanded
 Citazioni:
 37
 Recensione:
 Indirizzi per estratti:



 Citazione:
 M.E. Cruz et al., "A VARIATIONALBOUND NIPELEMENT METHOD FOR GEOMETRICALLY STIFF PROBLEMS  APPLICATION TO THERMAL COMPOSITES AND POROUSMEDIA", Proceedings  Royal Society. Mathematical and physical sciences, 449(1935), 1995, pp. 93122
Abstract
Geometrically stiff problems  problems which exhibit disparate length scales geometric in origin  arise frequently in fluid mechanics andheat transfer, perhaps most prevalently in the analysis of multicomponent media. In this paper we present a hybrid analyticocomputational approach to the treatment of geometrically stiff problems for which the quantity of interest can be expressed as the extremum of a functional; more precisely, we consider, in depth, the effective conductivity of (random) thermal composites and, briefly, the permeability of (random) porous media. The approach proceeds by an innerouter decomposition, in which analytical approximations in 'inner' nip regions are foldedinto modified 'outer' problems defined over geometrically (more) homogeneous domains. The technique considerably mitigates the numerical difficulties associated with geometric stiffness  by reduced degrees offreedom, improved conditioning, less stringent mesh generation requirements and better parallel load balancing  while simultaneously providing rigorous upper and lower bounds for the quantity of interest. Furthermore, the method enjoys certain 'convergence' properties: the upperlower bound gap can be rendered systematically smaller by decreasingthe extent of the inner nip regions. We first describe a series of bound procedures and associated modified outer weak forms; we next discuss finiteelement implementation of the outer problem on messagepassing multicomputers (here the Intel iPSC/860 hypercube); and, finally, we present several illustrative examples.
ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 09/04/20 alle ore 12:42:15