SOLUTION OF PARTIAL-DIFFERENTIAL EQUATIONS SYSTEMS BY THE MOVING FINITE-ELEMENT METHOD

• Type: Article in International Scientific Journal
• Date: 1992

Authors

SERENO, C (Author) Other; Alírio Rodrigues (Author) FEUP; VILLADSEN, J (Author) Other

Journal

Title: Computers and Chemical Engineering

Vol. 16

Pages: 583-592

ISSN: 0098-1354

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 14 Citations

Scopus - 17 Citations

Other information

Authenticus ID: P-001-PGA

DOI: 10.1016/0098-1354(92)80069-l

Abstract (EN): Partial differential equations (PDE) systems are solved by the moving finite element method (MFEM) using independent systems of finite elements to each PDE, with polynomial approximations of arbitrary degree in each of the finite elements. The method can be used for any type of linear boundary conditions. A computer code is developed to illustrate the method. This code is modified in the first example in order to solve one PDE coupled with one ordinary differential equation (ODE) in the simulation of a catalytic batch reactor. The code is applied to the following problems: wave progagation, flame propagation and a nonisothermal tubular catalytic reactor described by a pseudo-homogeneous axial dispersion model.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 10