COBEM99

SR27 Transferência de Calor e Massa

Title:

SOLUÇÃO DA EQUAÇÃO DE CONDUÇÃO DO CALOR POR DECOMPOSIÇÃO DE DOMÍNIO

Summary :

SOLUTION OF THE HEAT CONDUCTION EQUATION WITH DOMAIN DECOMPOSITION ABSTRACT. IN THIS WORK THE SOLUTION OF THE HEAT CONDUCTION EQUATION IN ONE-DIMENSIONAL AND TWO-DIMENSIONAL MEDIA IS DESCRIBED USING PARALLEL COMPUTATION THAT CONSISTS ON A FUNDAMENTAL TOOL IN OBTAINING NUMERICAL SOLUTION FOR ENGINEERING PROBLEMS. WE HAVE EMPLOYED THE LIBRARY MPI (MESSAGE PASSING INTERFACE) THAT IS USED IN COMPUTATIONAL CODES THAT TAKE ADVANTAGE OF THE EXISTENCE OF MULTIPLE PROCESSORS BASED ON MESSAGE PASSING. AS A FIRST TEST CASE WE CONSIDER A ONE DIMENSIONAL HEAT TRANSFER PROBLEM. USING AN EXPLICIT APPROXIMATION BY FINITE DIFFERENCE COMBINED WITH THE DOMAIN DECOMPOSITION TECHNIQUE , THE ALGORITHM IS TOTALLY PARALLELIZABLE. IT IS ALSO CONSIDERED A SECOND TEST CASE IN A TWO-DIMENSIONAL HOMOGENEOUS MEDIUM FOR WHICH AN IMPLICIT FORMULATION IS APPLIED. THE MEDIUM IS SPLIT IN TWO SUBDOMAINS, AND FOR THE NODES OF THE COMPUTATIONAL MESH LOCATED AT THE INTERFACE THE TEMPERATURES OF THE ADJACENT SUBDOMAIN ARE TAKEN WITH ONE TIME STEP LAG, WHICH TURNS THE ALGORITHM FULLY PARALLELIZABLE. KEY-WORD: HEAT TRANSFER, CONDUCTION, DOMAIN DECOMPOSITION.

Author :

Henderson, Luiz Nelio
Milian Sardina, Idalmis
Silva Neto, Antonio J.

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