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- W2316391671 abstract "The discontinuous Galerkin (DG) formulation has received much attention in recent years as a promising higher order method for solving the Navier-Stokes equations. However, it suffers from high operation count and storage requirements. To alleviate these drawbacks, the authors employ quadrature-free integration which is implemented through C++ template metaprogramming techniques. Template metaprogramming allows for the integrals associated with the weak formulation used in the DG method to be evaluated analytically by the compiler at compile time. The integrand is then expressed as a matrix operator. While the treatment of diffusive viscous terms is still a subject of research, the recently developed Recovery method of van Leer is explored by the authors. In addition, the Recovery method is reformulated to suit the quadrature-free implementation. The quadrature-free method is applied to linear and non-linear one-dimensional viscous Burgers equations." @default.
- W2316391671 created "2016-06-24" @default.
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- W2316391671 date "2010-01-04" @default.
- W2316391671 modified "2023-09-25" @default.
- W2316391671 title "Automated Quadrature-Free Discontinuous Galerkin Method with a Tailored Recovery Formulation" @default.
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- W2316391671 doi "https://doi.org/10.2514/6.2010-365" @default.
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