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A high-resolution Petrov-Galerkin method for the convection-diffusion-reaction problem. Part II: a multidimensional extension

Autor
Nadukandi, P.; Oñate, E.; Garcia, J.
Tipus d'activitat
Article en revista
Revista
Computer methods in applied mechanics and engineering
Data de publicació
2012-03
Volum
213-216
Pàgina inicial
327
Pàgina final
352
DOI
https://doi.org/10.1016/j.cma.2011.10.003 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S004578251100315X Obrir en finestra nova
Resum
A multidimensional extension of the HRPG method (doi:10.1016/j.cma.2009.10.009) using the lowest order block finite elements is presented. First, we design a nondimensional element number that quantifies the characteristic layers which are found only in higher dimensions. This is done by matching the width of the characteristic layers to the width of the parabolic layers found for a fictitious 1D reaction–diffusion problem. The nondimensional element number is then defined using this fictitiou...
Paraules clau
Convection–diffusion–reaction, Finite elements, High-resolution, Petrov–Galerkin, Singular perturbation, Stabilization
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
GMNE - Grup de Mètodes Numèrics en Enginyeria
TRANSMAR - Grup de recerca de transport marítim i logística portuària

Participants