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Hybrid Methods in Engineering

ISSN Imprimir: 1099-2391
ISSN En Línea: 2641-7359

Archives: Volume 1, 1999 to Volume 4, 2002

Hybrid Methods in Engineering

DOI: 10.1615/HybMethEng.v1.i4.20
10 pages

ON THE COMPUTATIONAL PERFORMANCE OF GENERALIZED INTEGRAL TRANSFORM SOLUTIONS

Alcino Resende Almeida
Petrobras Research Center, DIPLOT/SEPROT, Ilha do Fundao Quadra 7, Rio de Janeiro, Brazil

SINOPSIS

Integral transform solutions of convective-diffusive problems are examined and some computational enhancements are analyzed, in connection with the one-dimensional viscous Burgers equation with a periodic initial condition. The drastic influence of quadratures on the final numerical cost is established and guidelines on the extension of the optimizations to more involved situations are presented. A numerical experiment leading the solution of a viscous Burguers equation toward its inviscid (hyperbolic) counterpart is also performed.


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