Corpus ID: 208527668

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

References

SHOWING 1-10 OF 71 REFERENCES
An Adaptive Shock-Capturing HDG Method for Compressible Flows
We introduce a hybridizable discontinuous Galerkin (HDG) method for the numerical solution of the compressible Euler equations with shock waves. By locally condensing the approximate conservedExpand
A hybridizable discontinuous Galerkin method for the compressible euler and Navier-Stokes equations
In this paper, we present a Hybridizable Discontinuous Galerkin (HDG) method for the solution of the compressible Euler and Navier-Stokes equations. The method is devised by using the discontinuousExpand
The hybridized Discontinuous Galerkin method for Implicit Large-Eddy Simulation of transitional turbulent flows
TLDR
The proposed approach is applied to transitional flows over the NACA 65-(18)10 compressor cascade and the Eppler 387 wing at Reynolds numbers up to 460,000 and results show rapid convergence and excellent agreement with experimental data. Expand
An Embedded Discontinuous Galerkin Method for the Compressible Euler and Navier-Stokes Equations
We present an Embedded Discontinuous Galerkin (EDG) method for the solution of the compressible Euler and Navier-Stokes equations. The method is devised by using the discontinuous GalerkinExpand
Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics
TLDR
The HDG methods are fully implicit, high-order accurate and endowed with several unique features which distinguish themselves from other discontinuous Galerkin methods, which allow for a novel and systematic way for imposing boundary conditions for the total stress, viscous stress, vorticity and pressure. Expand
An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations
TLDR
An implicit high-order hybridizable discontinuous Galerkin method for the steady-state and time-dependent incompressible Navier-Stokes equations and displays superconvergence properties that allow it to use the above-mentioned optimal convergence properties to define an element-by-element postprocessing scheme to compute a new and better approximate velocity. Expand
One-dimensional shock-capturing for high-order discontinuous Galerkin methods
SUMMARY Discontinuous Galerkin methods have emerged in recent years as an alternative for nonlinear conservation equations. In particular, their inherent structure (a numerical flux based on aExpand
An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations
In this paper, we present hybridizable discontinuous Galerkin methods for the numerical solution of steady and time-dependent nonlinear convection-diffusion equations. The methods are devised byExpand
Shock Capturing for High-Order Discontinuous Galerkin Simulation of Transient Flow Problems
TLDR
It is demonstrated that the sensors can be coupled weakly without losing robustness, which simplifies the implementation and reduces the computational times, and the weak coupling allows for non-compact regularization of the artificial viscosity. Expand
Discontinuous Galerkin approximations in computational mechanics: hybridization, exact geometry and degree adaptivity
TLDR
Applications involving the numerical simulation of problems in electrostatics, linear elasticity and incompressible viscous flows, and the hybridizable discontinuous Galerkin (HDG) method are presented. Expand
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