Solution of hyperbolic PDEs using a stable adaptive multiresolution method

• Tipo: Artigo em Revista Científica Internacional
• Data: 2003

Autores

P. Cruz (Autor) Outra; M. A. Alves (Autor) FEUP; F. D. Magalhães (Autor) FEUP; A. Mendes (Autor) FEUP

Revista

Título: Chemical Engineering Science

Vol. 58 Nº 18

Páginas: 1777-1792

ISSN: 0009-2509

Editora: Elsevier

Indexação

ISI Web of Knowledge - 16 Citações

ISI Web of Science

Scopus - 20 Citações

COMPENDEX

Classificação Científica

FOS: Ciências da engenharia e tecnologias > Engenharia química

CORDIS: Ciências Tecnológicas ; Ciências Tecnológicas > Tecnologia > Tecnologia química

Outras Informações

ID Authenticus: P-000-GRZ

DOI: 10.1016/s0009-2509(03)00015-0

Abstract (EN): An efficient adaptive multiresolution numerical method is described for solving systems of partial differential equations. The grid is dynamically adapted during the integration procedure so that only the relevant information is stored. The convection terms are discretised with high-resolution methods, thus ensuring boundedness. The proposed method is general, but is particularly useful for highly convective problems involving sharp moving fronts, a situation that frequently occurs in many chemical engineering problems, and where standard procedures may lead to unphysical oscillations in the computed solution. Numerical results for five test problems are presented to illustrate the efficiency and robustness of the method. The adaptive strategy is found to significantly reduce the computation time and memory requirements, as compared to the fixed grid approach.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 16