An improved quadrature rule for the flux-computation in staggered central difference schemes in multidimensions

We present a new second-order, nonoscillatory, central difference scheme on two-dimensional, staggered, Cartesian grids for systems of conservation laws. The scheme uses a new, carefully designed integration rule for the flux computations and thereby takes more propagation directions into account. This effectively reduces grid orientation effects produced for two-dimensional radially symmetric gas flows and improves the accuracy for smooth solutions.