The BR1 Scheme is Stable for the Compressible Navier–Stokes Equations

Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations

(2016) Gregor J. Gassner et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Roadmap to Well Posed and Stable Problems in Computational Physics

(2016) Jan Nordström   JOURNAL OF SCIENTIFIC COMPUTING

Direct aeroacoustic simulation of acoustic feedback phenomena on a side-view mirror

(2016) Hannes M. Frank et al.   JOURNAL OF SOUND AND VIBRATION

Effect of boundary representation on viscous, separated flows in a discontinuous-Galerkin Navier–Stokes solver

(2016) Daniel A. Nelson et al.   THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS

Dealiasing techniques for high-order spectral element methods on regular and irregular grids

(2015) G. Mengaldo et al.   JOURNAL OF COMPUTATIONAL PHYSICS

High-order discontinuous Galerkin spectral element methods for transitional and turbulent flow simulations

(2014) Andrea D. Beck et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

An Energy Stable Discontinuous Galerkin Spectral Element Discretization for Variable Coefficient Advection Problems

(2014) David A. Kopriva et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces

(2014) Mark H. Carpenter et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations

(2013) Praveen Chandrashekar   Communications in Computational Physics

A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods

(2013) Gregor J. Gassner   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Explicit discontinuous Galerkin methods for unsteady problems

(2012) Florian Hindenlang et al.   COMPUTERS & FLUIDS

Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: Theory and boundary conditions

(2012) Travis C. Fisher et al.   JOURNAL OF COMPUTATIONAL PHYSICS

On the accuracy of high-order discretizations for underresolved turbulence simulations

(2012) Gregor J. Gassner et al.   THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS

A Comparison of the Dispersion and Dissipation Errors of Gauss and Gauss–Lobatto Discontinuous Galerkin Spectral Element Methods

(2011) Gregor Gassner et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

On the Quadrature and Weak Form Choices in Collocation Type Discontinuous Galerkin Spectral Element Methods

(2010) David A. Kopriva et al.   JOURNAL OF SCIENTIFIC COMPUTING

Affordable, entropy-consistent Euler flux functions II: Entropy production at shocks

(2009) Farzad Ismail et al.   JOURNAL OF COMPUTATIONAL PHYSICS