# Multidimensional Upwind Schemes for Conservation Laws

## Matthew Hubbard

(University of Reading)

In this talk the current state of multidimensional upwind fluctuation distribution schemes will be discussed. These are relatively new finite volume techniques for unstructured and, less often, structured grids which have been designed to incorporate more genuinely multidimensional aspects than existing schemes.

Particular attention will be paid to recent advances in the construction of accurate fluctuation distribution schemes for time-dependent applications, earlier schemes having only attained a high order of accuracy at the steady state. The methods will be applied initially to the scalar advection equation and then extended to nonlinear systems of equations, using the Euler equations as an example. A variety of results will be shown to illustrate the success of these methods.

**Tuesday 24th November 1998, 15:00**

Seminar Room 322

Department of Computer Science