255 citations
- National Institute of AerospaceUS15 papers
- Goddard Space Flight CenterUS10 papers
- National Aeronautics and Space AdministrationUS8 papers
- The Aerospace CorporationUS8 papers
- University of California San DiegoUS6 papers
- University of Maryland, College ParkUS6 papers
- California Institute of TechnologyUS5 papers
- Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR)DE5 papers
- Jet Propulsion LaboratoryUS5 papers
- Massachusetts Institute of TechnologyUS5 papers
- Royal Belgian Institute for Space AeronomyBE5 papers
- University of ArizonaUS5 papers
9 papers · 1 filter
An Efficient Quadratic Interpolation Scheme for a Third-Order Cell-Centered Finite-Volume Method on Tetrahedral Grids
Hiroaki Nishikawa, Jeffery A. White
In this paper, we propose an efficient quadratic interpolation formula utilizing solution gradients computed and stored at nodes and demonstrate its application to a third-order ce…
Provably Stable Flux Reconstruction High-Order Methods on Curvilinear Elements
Alexander Cicchino, David C. Del Rey Fernández, Siva Nadarajah +2
Provably stable flux reconstruction (FR) schemes are derived for partial differential equations cast in curvilinear coordinates. Specifically, energy stable flux reconstruction (ES…
Nonlinearly Stable Flux Reconstruction High-Order Methods in Split Form
Alexander Cicchino, Siva Nadarajah, David C. Del Rey Fernández
The flux reconstruction (FR) method has gained popularity in the research community as it recovers promising high-order methods through modally filtered correction fields, such as…
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…
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…