47 citations · 94 across the 14 of their papers we have counts for
4 papers · 1 filter
Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Navier-Stokes Equations
David C. Del Rey Fernandez, Mark H. Carpenter, Lisandro Dalcin +4
The entropy conservative, curvilinear, nonconforming, p-refinement algorithm for hyperbolic conservation laws of Del Rey Fernandez et al. (2019), is extended from the compressible…
Entropy Stable Space-Time Discontinuous Galerkin Schemes with Summation-by-Parts Property for Hyperbolic Conservation Laws
Lucas Friedrich, Gero Schnücke, Andrew R. Winters +3
This work examines the development of an entropy conservative (for smooth solutions) or entropy stable (for discontinuous solutions) space-time discontinuous Galerkin (DG) method f…
An Entropy Stable h/p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property
Lucas Friedrich, Andrew R. Winters, David C. Del Rey Fernández +3
This work presents an entropy stable discontinuous Galerkin (DG) spectral element approximation for systems of non-linear conservation laws with general geometric (h) and polynomia…
Conservative and Stable Degree Preserving SBP Operators for Non-Conforming Meshes
Lucas Friedrich, David C. Del Rey Fernandez, Andrew R. Winters +3
Non-conforming numerical approximations offer increased flexibility for applications that require high resolution in a localized area of the computational domain or near complex ge…