×

Nek5000

swMATH ID: 8064
Software Authors: Peplinski, A.; Schlatter, P.; Fischer, P.F.; Henningson, D.S.
Description: Stability tools for the spectral-element code Nek5000: application to jet-in-crossflow. We demonstrate the use of advanced linear stability tools developed for the spectral-element code Nek5000 to investigate the dynamics of nonlinear flows in moderately complex geometries. The aim of stability calculations is to identify the driving mechanism as well as the region most sensitive to the instability: the wavemaker. We concentrate on global linear stability analysis, which considers the linearised Navier–Stokes equations and searches for growing small disturbances, i.e. so-called linear global modes. In the structural sensitivity analysis these modes are associated to the eigenmodes of the direct and adjoint linearised Navier–Stokes operators, and the wavemaker is defined as the overlap of the strongest direct and adjoint eigenmodes. The large eigenvalue problems are solved using matrix-free methods adopting the time-stepping Arnoldi approach. We present here our implementation in Nek5000 with the ARPACK library on a number of test cases.
Homepage: http://nek5000.mcs.anl.gov/index.php/Main_Page
Related Software: Nektar++; SIMSON; FreeFem++; OpenFOAM; Gmsh; p4est; SINDy; ARPACK; CUDA; deal.ii; PETSc; PyFR; GitHub; hypre; METIS; OCCA; Matlab; Exa-Dune; HE-E1GODF; LOCA
Cited in: 144 Publications
all top 5

Cited by 315 Authors

28 Schlatter, Philipp
19 Henningson, Dan S.
10 Fischer, Paul F.
9 Hanifi, Ardeshir
7 Loiseau, Jean-Christophe
7 Vinuesa, Ricardo
6 Cherubini, Stefania
5 Moxey, David
5 Peplinski, A.
5 Robinet, Jean-Christophe
4 Alfredsson, Per Henrik
4 Appelquist, E.
4 Brunton, Steven L.
4 Canton, Jacopo
4 Ducoin, Antoine
4 Gallaire, François
4 Lingwood, R. J.
3 Balachandar, S. Raja
3 Blanchard, Antoine B.
3 Boukharfane, Radouan
3 Brandt, Luca
3 Dalcín, Lisandro D.
3 Frouzakis, Christos Emmanouil
3 Kronbichler, Martin
3 Marin, Oana
3 Offermans, N.
3 Ohlsson, Johan
3 Örlü, Ramis
3 Parsani, Matteo
3 Peet, Yulia T.
3 Picella, Francesco
3 Shahriari, Nima
3 Sherwin, Spencer J.
3 Siconolfi, Lorenzo
3 Wall, Wolfgang A.
2 Abreu, Leandra I.
2 Auteri, Franco
2 Avellan, François
2 Bergman, Lawrence A.
2 Brion, Vincent
2 Brynjell-Rahkola, Mattias
2 Bucci, Michele Alessandro
2 Camarri, Simone
2 Cantwell, Chris D.
2 Cavalieri, André V. G.
2 Chin, Rey C.
2 De Palma, Pietro
2 De Vincentiis, Luca
2 Del Rey Fernández, David C.
2 Dutta, Som
2 Eskilsson, Claes
2 Farano, Mirko
2 Fehn, Niklas
2 Feng, Zhe
2 Guerrero, Byron
2 Jacquin, Laurent
2 Keyes, David Elliot
2 Kirby, Robert M. II
2 Lambert, Martin Francis
2 Le Clainche, Soledad
2 Ma, Yuchen
2 Malm, Johan
2 Mantzaras, John
2 Mengaldo, Gianmarco
2 Merzari, Elia
2 Mittal, Ketan
2 Noack, Bernd R.
2 Nolasco, Irving Reyna
2 Pasche, Simon
2 Peltier, W. R.
2 Pizza, Gianmarco
2 Rezaeiravesh, Saleh
2 Salvetti, Maria Vittoria
2 Schrader, Lars-Uve
2 Tanarro, Alvaro
2 Theofilis, Vassilios
2 Tuckerman, Laurette Stephanie
2 Vakakis, Alexander F.
2 van der Poel, Erwin P.
2 Zhang, Mengqi
1 Abdelsamie, Abouelmagd
1 Abide, Stéphane
1 Adrian, Ronald J.
1 Aithal, Abhiram B.
1 Akselsen, Andreas H.
1 Al Jahdali, R.
1 Amici, Roman
1 Amitay, Michael
1 An, Chenge
1 Andriano, C.
1 Anitescu, Mihai
1 Arratia, Cristobal
1 Astolfi, Jacques André
1 Attili, Antonio
1 Bailey, Sean C. C.
1 Battista, Francesco
1 Beck, Andrea D.
1 Bello-Maldonado, Pedro D.
1 Beneitez, Miguel
1 Bengana, Yacine
...and 215 more Authors

Citations by Year