Applications of a moving finite element method

• Type: Article in International Scientific Journal
• Date: 2001

Authors

Maria do Carmo Coimbra (Author) FEUP; Sereno, C (Author) Other; Alírio Rodrigues (Author) FEUP

Journal

Title: Chemical Engineering Journal

Vol. 84

Pages: 23-29

ISSN: 1385-8947

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 15 Citations

Scopus - 15 Citations

Other information

Authenticus ID: P-000-T92

DOI: 10.1016/s1385-8947(00)00266-7

Abstract (EN): The moving finite element method (MFEM) with polynomial approximations of any degree is applied to a variety of models described by partial differential equations (PDEs) of the type Gu(t) = Fu(xx) + H, a less than or equal to x less than or equal to b, t greater than or equal to 0, G and F are full matrices. The objective of this work is to show that the proposed formulation of MFEM is a powerful tool to compute the numerical solution of time-dependent PDEs involving steep moving fronts. A strategy to choose the penalty constants was devised in relation with the ODE solver tolerances to improve the robustness of the method. Numerical results concerning combustion model, boundary layer problem, catalytic reactor and pressurization of adsorption beds illustrate the effectiveness of our scheme.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 7