# An HLL Riemann solver for the hybridised discontinuous Galerkin formulation of compressible flows

@article{VilaPerez2019AnHR, title={An HLL Riemann solver for the hybridised discontinuous Galerkin formulation of compressible flows}, author={Jordi Vila-P'erez and Matteo Giacomini and Rub{\'e}n Sevilla and Antonio Huerta}, journal={ArXiv}, year={2019}, volume={abs/1912.00044} }

This work proposes a high-order hybridised discontinuous Galerkin (HDG) formulation of the Harten-Lax-Van Leer (HLL) Riemann solver for compressible flows. A unified framework is introduced to present Lax-Friedrichs, Roe and HLL Riemann solvers via appropriate definitions of the HDG numerical fluxes. The resulting high-order HDG method with HLL Riemann solver is evaluated through a set of numerical simulations of inviscid compressible flows in different regimes, from subsonic isentropic flows… Expand

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