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20182021
most citedEntropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Euler equations

11 citations · 17 across the 4 of their papers we have counts for

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math.NA2019

On the robustness and performance of entropy stable discontinuous collocation methods for the compressible Navier-Stokes equations

Diego Rojas, Radouan Boukharfane, Lisandro Dalcin +4

In computational fluid dynamics, the demand for increasingly multidisciplinary reliable simulations, for both analysis and design optimization purposes, requires transformational a…

math.NA2019

Optimized geometrical metrics satisfying free-stream preservation

Irving Reyna Nolasco, Lisandro Dalcin, David C. Del Rey Fernandez +2

Computational fluid dynamics and aerodynamics, which complement more expensive empirical approaches, are critical for developing aerospace vehicles. During the past three decades,…

math.NA2019

Entropy Stable h/p-Nonconforming Discretization with the Summation-by-Parts Property for the Compressible Euler and Navier-Stokes Equations

David C. Del Rey Fernandez, Mark H. Carpenter, Lisandro Dalcin +2

In this paper, the entropy conservative/stable algorithms presented by Del Rey Fernandez and coauthors [18,16,17] for the compressible Euler and Navier-Stokes equations on nonconfo…

math.NA2019

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…

math.NA201911 cited

Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Euler equations

D. C. Del Rey Fernandez, M. H. Carpenter, L. Dalcin +6

The entropy conservative/stable algorithm of Friedrich~\etal (2018) for hyperbolic conservation laws on nonconforming p-refined/coarsened Cartesian grids, is extended to curvilinea…

math.NA2019

Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations

Hendrik Ranocha, Mohammed Sayyari, Lisandro Dalcin +2

The framework of inner product norm preserving relaxation Runge-Kutta methods (David I. Ketcheson, \emph{Relaxation Runge-Kutta Methods: Conservation and Stability for Inner-Produc…