Steps Toward a Robust High-Order Simulation Tool for Aerospace Applications

摘要: The discontinuous Galerkin method is seemingly immune to many of the problems that commonly plague high-order finite-difference methods, and as such, has potential bring robustness low-order methods efficiency bear on a broad class engineering problems. However dependence numerical quadrature significantly increased cost limited use element shapes for which formulas are readily available. A quadrature-free formulation been proposed allows be implemented any shape polynomial basis functions degree.