Nested Schur-Complement solver for a low-mach number model

• Verfasst von: Gawlok, Simon [VerfasserIn]
• Verfasst von: Heuveline, Vincent [VerfasserIn]
• Titel: Nested Schur-Complement solver for a low-mach number model
• Titelzusatz: application to a cyclone-cyclone Interaction
• Verf.angabe: Gawlok, S., Heuveline, V.
• Verlagsort: Heidelberg
• Verlag: Univ.-Bibliothek
• E-Jahr: 2018
• Jahr: September 27, 2018
• Umfang: 1 Online-Ressource (18 Seiten)
• Gesamttitel/Reihe: Preprint series of the Engineering Mathematics and Computing Lab (EMCL) ; Preprint no. 2018-02
• Fussnoten: Gesehen am 07.05.2019.
• DOI: doi:10.11588/emclpp.2018.02.56653
• URN: urn:nbn:de:bsz:16-emclpp-566532
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1664914250
• K10plus-PPN:
  Universitätsbibliothek
• Lokale URL UB: Zum Volltext

Abstract

Abstract: Forecasting the dynamical evolution of interacting tropical cyclones poses a computationally challenging problem. An attractive approach for modeling and simulating such type of dynamics is given by Low-mach models. A formulation of a Low-mach model is presented along with the description of a benchmark scenario of two interacting tropical cyclones. For the discrete nonlinear equations of this model, an improved variant of the nested Schur-complement preconditioner is proposed. A detailed discussion of the numerical results is conducted with a special emphasis on computational costs and scalability. It will be demonstrated that the new preconditioner clearly outperforms a prior version of this kind of preconditioner with respect to computing time by a factor of two, but at the cost of a slightly reduced scalability.