Weighted essentially non-oscillatory schemes on triangular meshes

In this paper we construct high-order weighted essentially non-oscillatory schemes on two-dimensional unstructured meshes (triangles) in the finite vo lume formulation. We present third-order schemes using a combination of lin ear polynomials and fourth-order schemes using a combination of quadratic p olynomials. Numerical examples are shown to demonstrate the accuracies and robustness of the methods for shock calculations. (C) 1999 Academic Press.