Strathprints logo
Strathprints Home | Open Access | Browse | Search | User area | Copyright | Help | Library Home | SUPrimo

Computational solution of two-dimensional unsteady PDEs using moving mesh methods

Beckett, G. and Ramage, A. and Sloan, D.M. and Mackenzie, J.A. (2002) Computational solution of two-dimensional unsteady PDEs using moving mesh methods. Journal of Computational Physics, 182 (2). pp. 478-495. ISSN 0021-9991

Full text not available in this repository. (Request a copy from the Strathclyde author)

Abstract

Numerical experiments are described which illustrate some important features of the performance of moving mesh methods for solving two-dimensional partial differential equations (PDEs). Here we are concerned with algorithms based on moving mesh methods proposed by W. Huang and R. D. Russell [SIAM J. Sci. Comput.20, 998 (1999)]. We show that the accuracy of the computations is strongly influenced by the choice of monitor function, and we present a monitor function which yields a higher rate of convergence than those that are commonly used. In an earlier paper [G. Beckett, J. A. Mackenzie, A. Ramage, and D. M. Sloan, J. Comput. Phys.167, 372 (2001)], we demonstrated a robust and efficient algorithm for problems in one space dimension in which the mesh equation is decoupled from the physical PDE and the time step is controlled automatically. The present work extends this algorithm to deal with problems in two space dimensions.

Item type: Article
ID code: 2057
Keywords: adaptivity, equidistribution, moving meshes, computational physics, Mathematics, Physics and Astronomy (miscellaneous), Computer Science Applications
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 14 Jan 2007
    Last modified: 04 Sep 2014 10:56
    URI: http://strathprints.strath.ac.uk/id/eprint/2057

    Actions (login required)

    View Item