Abstracts for the Conference on Grid Adaptivity in Computational PDEs, Edinburgh, July 96	Next
		Previous
		Index

Adaptive finite volume methods for time-dependent reacting flows

M Berzins (Invited Presentation)
with P K Jimack, V Pennington and J M Ware

School of Computer Studies
The University of Leeds
Woodhouse Lane, Leeds LS2 9JT
martin@scs.leeds.ac.uk

---

Abstract

In this talk an example problem from a simple model of knock in a car engine will be used to illustrate the challenging nature of such applications and to demonstrate the benefits of adaptive numerical methods.

The talk will describe the unstructured mesh finite volume spatial discretisation methods and the novel time integration methods used to solve the example problem. A particular form of operator splitting being used to solve the large systems of equations that arise at each time step.

Particular attention will be paid to error estimation in space and time and to methods for the calculating and controlling the approximate errors through spatial remeshing and adaptive time stepping. A comparison will be made with more traditional cfl and fixed space mesh calculations. An anlysis will be given to illustrate a potential source of difficulty with discrete time remeshing.

The talk will conclude with a consideration of the extension to complex chemistry and three space dimensions and discuss what the implications are for unstructured mesh adaptive codes.

	ABSTRACTS
	Next	Previous	Index