A hyperbolic model for convection-diffusion transport problems in CFD: numerical analysis and applications.

Gómez, Héctor, et al. "A hyperbolic model for convection-diffusion transport problems in CFD: numerical analysis and applications.." RACSAM 102.2 (2008): 319-334. <http://eudml.org/doc/42061>.

@article{Gómez2008,
abstract = {In this paper we present a numerical study of the hyperbolic model for convection-diffusion transport problems that has been recently proposed by the authors. This model avoids the infinite speed paradox, inherent to the standard parabolic model and introduces a new parameter called relaxation time. This parameter plays the role of an “inertia” for the movement of the pollutant. The analysis presented herein is twofold: first, we perform an accurate study of the 1D steady-state equations and its numerical solution. We compare the solution of the hyperbolic model with that of the parabolic model and we analyze the influence of the relaxation time on the solution. On the other hand, we explore the possibilities of the proposed model for real-world applications. With this aim we solve an example concerning the evolution of a pollutant being spilled in the harbor of A Coru˜na (northwest of Spain, EU).},
author = {Gómez, Héctor, Colominas, Ignasi, Navarrina, Fermín L., Casteleiro, Manuel},
journal = {RACSAM},
keywords = {convection-diffusion; finite elements; finite velocity},
language = {eng},
number = {2},
pages = {319-334},
title = {A hyperbolic model for convection-diffusion transport problems in CFD: numerical analysis and applications.},
url = {http://eudml.org/doc/42061},
volume = {102},
year = {2008},
}

TY - JOUR
AU - Gómez, Héctor
AU - Colominas, Ignasi
AU - Navarrina, Fermín L.
AU - Casteleiro, Manuel
TI - A hyperbolic model for convection-diffusion transport problems in CFD: numerical analysis and applications.
JO - RACSAM
PY - 2008
VL - 102
IS - 2
SP - 319
EP - 334
AB - In this paper we present a numerical study of the hyperbolic model for convection-diffusion transport problems that has been recently proposed by the authors. This model avoids the infinite speed paradox, inherent to the standard parabolic model and introduces a new parameter called relaxation time. This parameter plays the role of an “inertia” for the movement of the pollutant. The analysis presented herein is twofold: first, we perform an accurate study of the 1D steady-state equations and its numerical solution. We compare the solution of the hyperbolic model with that of the parabolic model and we analyze the influence of the relaxation time on the solution. On the other hand, we explore the possibilities of the proposed model for real-world applications. With this aim we solve an example concerning the evolution of a pollutant being spilled in the harbor of A Coru˜na (northwest of Spain, EU).
LA - eng
KW - convection-diffusion; finite elements; finite velocity
UR - http://eudml.org/doc/42061
ER -