Adaptive finite volume methods for time-dependent P.D.E.S.
- Univ. of Leeds (United Kingdom)
The aim of adaptive methods for time-dependent p.d.e.s is to control the numerical error so that it is less than a user-specified tolerance. This error depends on the spatial discretization method, the spatial mesh, the method of time integration and the timestep. The spatial discretization method and positioning of the spatial mesh points should attempt to ensure that the spatial error is controlled to meet the user`s requirements. It is then desirable to integrate the o.d.e. system in time with sufficient accuracy so that the temporal error does not corrupt the spatial accuracy or the reliability of the spatial error estimates. This paper is concerned with the development of a prototype algorithm of this type, based on a cell-centered triangular finite volume scheme, for two space dimensional convection-dominated problems.
- OSTI ID:
- 198208
- Report Number(s):
- CONF-9307220-Vol.75; TRN: 96:001696-0020
- Resource Relation:
- Conference: Modeling, mesh generation and adaptive numerical methods for partial differential equations program, Minneapolis, MN (United States), 6-23 Jul 1993; Other Information: PBD: 1995; Related Information: Is Part Of Modeling, mesh generation, and adaptive numerical methods for partial differential equations; Babuska, I. [ed.] [Univ. of Maryland, College Park, MD (United States). Inst. for Physical Science and Technology]; Henshaw, W.D. [ed.] [Los Alamos National Lab., NM (United States)]; Oliger, J.E. [ed.] [Research Inst. for Advanced Computer Science, Moffet Field, CA (United States)]; Flaherty, J.E. [ed.] [Rensselaer Polytechnic Inst., Troy, NY (United States)]; Hopcroft, J.E. [ed.] [Cornell Univ., Ithaca, NY (United States). Coll. of Engineering]; Tezduyar, T. [ed.] [Army High Performance Computing Research Center, Minneapolis, MN (United States)]; PB: 501 p.
- Country of Publication:
- United States
- Language:
- English
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