A finite point method for compressible flow

A weighted least squares %nite point method for compressible 2ow is formulated. Starting from a global cloud of points, local clouds are constructed using a Delaunay technique with a series of tests for the quality of the resulting approximations. The approximation factors for the gradient and the Laplacian of the resulting local clouds are used to derive an edge-based solver that works with approximate Riemann solvers. The results obtained show accuracy comparable to equivalent mesh-based %nite volume or %nite element techniques, making the present %nite point method competitive