A hyperbolic model for convection-diffusion transport problems in CFDnumerical analysis and applications
- Hector W. Gómez
- Ignasi Colominas
- F. Navarrina
- Manuel Casteleiro
ISSN: 1578-7303
Ano de publicación: 2008
Volume: 102
Número: 2
Páxinas: 319-334
Tipo: Artigo
Outras publicacións en: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM )
Obxectivos de Desenvolvemento Sustentable
Resumo
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 [16]. This model avoids the infinite speed paradox, inherent to the standard parabolic model and introduces a new parameter t 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 Coruñaa (northwest of Spain, EU).