94 citations · 187 across the 13 of their papers we have counts for
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Entropy stable spectral collocation schemes for the 3-D Navier-Stokes equations on dynamic unstructured grids
Nail K. Yamaleev, David C. Del Rey Fernandez, Jialin Lou +1
New entropy stable spectral collocations schemes of arbitrary order of accuracy are developed for the unsteady 3-D Euler and Navier-Stokes equations on dynamic unstructured grids.…
Conservative and entropy stable solid wall boundary conditions for the compressible Navier-Stokes equations: Adiabatic wall and heat entropy transfer
Lisandro Dalcin, Diego B. Rojas, Stefano Zampini +3
We present a novel technique for the imposition of non-linear entropy conservative and entropy stable solid wall boundary conditions for the compressible Navier-Stokes equations in…
Efficient entropy stable Gauss collocation methods
Jesse Chan, David C. Del Rey Fernandez, Mark H. Carpenter
The construction of high order entropy stable collocation schemes on quadrilateral and hexahedral elements has relied on the use of Gauss-Legendre-Lobatto collocation points and th…
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…
SBP-SAT finite difference discretization of acoustic wave equations on staggered block-wise uniform grids
Longfei Gao, David C. Del Rey Fernandez, Mark Carpenter +1
We consider the numerical simulation of the acoustic wave equations arising from seismic applications, for which staggered grid finite difference methods are popular choices due to…