• Special meshes and domain deco...

Result: Special meshes and domain decomposition methods for evolutionary convection-diffusion-reaction problems

Title:
Special meshes and domain decomposition methods for evolutionary convection-diffusion-reaction problems
Authors:
PORTERO, L, JORGE, J. C
Source:
8th ICFD Conference on Numerical Methods for Fluid Dynamics: Part 2International journal for numerical methods in fluids. 47(10-11):1237-1243
Publisher Information:
Chichester: Wiley, 2005.
Publication Year:
2005
Physical Description:
print, 8 ref
Original Material:
INIST-CNRS
Subject Terms:
Mechanics acoustics, Mécanique et acoustique, Sciences exactes et technologie, Exact sciences and technology, Physique, Physics, Domaines classiques de la physique (y compris les applications), Fundamental areas of phenomenology (including applications), Mécanique des fluides, Fluid dynamics, Méthodes de calcul en mécanique des fluides, Computational methods in fluid dynamics, Décomposition domaine, Domain decomposition, Descomposición dominio, Equation convection diffusion, Convection diffusion equation, Ecuación convección difusión, Equation réaction diffusion, Reaction diffusion equation, Ecuación reacción difusión, Mécanique fluide numérique, Computational fluid dynamics, Méthode Runge Kutta, Runge-Kutta methods, Méthode pas fractionnaire, Fractional step method, Método paso fraccionario, Simulation numérique, Digital simulation, Traitement parallèle, Parallel processing, Shishkin mesh, domain decomposition, fractional step Runge-Kutta method, singularly perturbed problem
Document Type:
Conference Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Departamento de Matemâtica e Informática, Universidad Pública de Navarra, Campus de Arrosadía s/n, 31006, Pamplona, Spain
ISSN:
0271-2091
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=16684411
Rights:
Copyright 2005 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Physics: fluid mechanics
Accession Number:
edscal.16684411
Database:
PASCAL Archive

Further Information

In this work we propose new parallel numerical methods to solve certain evolutionary singularly perturbed problems in a robust and efficient way. To get this, we firstly consider a semidiscretization in time using a simple fractional step Runge-Kutta method, where the splittings for the convection-diffusion-reaction operator and the source term are subordinated to a decomposition of the spatial domain in many smaller subdomains. Such semidiscretization procedure reduces the original problem to a set of elliptic problems (in smaller subdomains), which can be solved in parallel, and it avoids the use of Schwarz iterations. To discretize in space such problems we have considered classical linear finite elements on certain piecewise uniform meshes which have been constructed with a very simple a priori criterion, similar to the one introduced by Shishkin for one-dimensional stationary problems of this kind.