158	1994	David Lindstr|m	david@tdb.uu.se	A Central Biased ENO Scheme of Arbitrarily High Accuracy

Report 158/1994

A Central Biased ENO Scheme of Arbitrarily High Accuracy
by David Lindström (Email: david@tdb.uu.se)

In this paper we introduce a new class of central biased essentially
non-oscillatory (ENO) schemes. These schemes, which are based on
numerical fluxes, use linearly stable numerical flux functions in the
smooth areas of the solution. In this way the convergence rate in the
smooth parts becomes the expected from local truncation analysis. These
schemes also yield sharp shock transitions. We discuss how to choose the
time step and we propose an algorithm for the sharpening of contact
discontinuities. Finally, numerical results for scalar problems, and for
the Euler equations of gas dynamics in one and two space dimensions, are
presented.