A modified structured central scheme for 2D hyperbolic conservation laws

We present a new central scheme for approximating solutions of two-dimensio nal systems of hyperbolic conservation laws. This method is based on a modi fication of the staggered grid proposed in [1] which prevents the crossings of discontinuities in the normal direction, while retaining the simplicity of the central framework. Our method satisfies a local maximum principle w hich is based on a more compact stencil. Unlike the previous method, it ena bles a natural extension to adaptive methods on structured grids. (C) 1999 Elsevier Science Ltd. All rights reserved.