Energy preserving reduced-order modeling of the rotating thermal shallow water equation
Yazarlar (3)
B. Karasözen
Middle East Technical University (Metu), Türkiye
Middle East Technical University (Metu), Türkiye
S. Ylldlz
Middle East Technical University (Metu), Türkiye
Middle East Technical University (Metu), Türkiye
Prof. Dr. Murat UZUNCA Sinop Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Physics of Fluids (Q1) | ||
| Dergi ISSN | 1070-6631 Dergi Bilgileri (2022) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 05-2022 |
| Cilt / Sayı / Sayfa | 34 / 5 / 56603–0 | DOI | 10.1063/5.0091678 |
| Makale Linki | http://dx.doi.org/10.1063/5.0091678 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
|
||
| Özet |
| In this paper, reduced-order models are developed for the rotating thermal shallow water equation (RTSWE) in the non-canonical Hamiltonian form with the state-dependent Poisson matrix. The high fidelity full solutions are obtained by discretizing the RTSWE in space with skew-symmetric finite-differences, that preserve the Hamiltonian. The resulting skew-gradient system with the skew-symmetric Poisson matrix is integrated in time by the energy preserving average vector field (AVF) method. The reduced-order model (ROM) is constructed in the same way as the full-order model (FOM), preserving the reduced skew-symmetric structure and integrating in time with the AVF method. Applying proper orthogonal decomposition (POD) with the Galerkin projection, an energy preserving ROM is constructed. The nonlinearities in the ROM are computed by applying the discrete empirical interpolation (DEIM) method to … |
| Anahtar Kelimeler |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 4 |
| Scopus | 4 |
| Google Scholar | 5 |