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Numerical bifurcation methods and their application to fluid dynamics: analysis beyond simulation

Autor
Dijkstra, H.; Wubs, F.; Cliffe, A.; Doedel, E.; Dragomirescu, I.; Eckhardt, B.; Gelfgat, A.Y.; Hazel, A.; Lucarini, V.; Salinger, A.; Phipps, E.; Sanchez, J.; Schuttelaars, H.; Tuckerman, L.; Thiele, U.
Tipus d'activitat
Article en revista
Revista
Communications in computational physics
Data de publicació
2014-01
Volum
15
Número
1
Pàgina inicial
1
Pàgina final
45
DOI
https://doi.org/10.4208/cicp.240912.180613a Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/21331 Obrir en finestra nova
URL
http://www.global-sci.com/readabs.php?vol=15&page=1&issue=1&ppage=45&year=2014 Obrir en finestra nova
Resum
We provide an overview of current techniques and typical applications of numerical bifurcation analysis in fluid dynamical problems. Many of these problems are characterized by high-dimensional dynamical systems which undergo transitions as parameters are changed. The computation of the critical conditions associated with these transitions, popularly referred to as 'tipping points', is important for understanding the transition mechanisms. We describe the two basic classes of methods of numerica...
Citació
Dijkstra, H. [et al.]. Numerical bifurcation methods and their application to fluid dynamics: analysis beyond simulation. "Communications in computational physics", Gener 2014, vol. 15, núm. 1, p. 1-45.
Paraules clau
High-dimensional dynamical systems, Numerical bifurcation analysis, Transitions in fluid flows
Grup de recerca
DF - Dinàmica de Fluids: formació d'estructures i aplicacions geofísiques

Participants

  • Dijkstra, Hendrik  (autor)
  • Wubs, Fred W.  (autor)
  • Cliffe, Andrew K.  (autor)
  • Doedel, Eusebius J.  (autor)
  • Dragomirescu, Ioana Florica  (autor)
  • Eckhardt, Bruno  (autor)
  • Gelfgat, Alexander Yu  (autor)
  • Hazel, Andrew L.  (autor)
  • Lucarini, Valerio  (autor)
  • Salinger, Andrew G.  (autor)
  • Phipps, Erik T.  (autor)
  • Sanchez Umbria, Juan Jose  (autor)
  • Schuttelaars, Henk M.  (autor)
  • Tuckerman, Laurette S.  (autor)
  • Thiele, Uwe  (autor)