Nested Schur-Complement solver for a low-mach number model: application to a cyclone-cyclone Interaction
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...
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| Main Authors: | , |
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| Format: | Book/Monograph |
| Language: | English |
| Published: |
Heidelberg
Univ.-Bibliothek
September 27, 2018
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| Series: | Preprint series of the Engineering Mathematics and Computing Lab (EMCL)
Preprint no. 2018-02 |
| In: |
Preprint series of the Engineering Mathematics and Computing Lab (EMCL) (Preprint no. 2018-02)
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| DOI: | 10.11588/emclpp.2018.02.56653 |
| Online Access: | Verlag, kostenfrei, Volltext: http://dx.doi.org/10.11588/emclpp.2018.02.56653 Verlag, kostenfrei, Volltext: http://nbn-resolving.de/urn:nbn:de:bsz:16-emclpp-566532 Verlag, kostenfrei, Volltext: https://doi.org/10.11588/emclpp.2018.02.56653 Verlag, kostenfrei, Volltext: https://journals.ub.uni-heidelberg.de/index.php/emcl-pp/article/view/56653 
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| Author Notes: | Gawlok, S., Heuveline, V. |
| Summary: | 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. |
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| Item Description: | Gesehen am 07.05.2019 |
| Physical Description: | Online Resource |
| DOI: | 10.11588/emclpp.2018.02.56653 |