Structure-Preserving Reduced-Order Modeling of Non-Traditional Shallow Water Equation (Model Reduction of Complex Dynamical Systems)
Yazarlar (3)
Doç. Dr. Süleyman Yıldız Middle East Technical University (Metu), Türkiye
Prof. Dr. Murat UZUNCA Sinop Üniversitesi, Türkiye
Bülent Karasözen
Middle East Technical University (Metu), Türkiye
Middle East Technical University (Metu), Türkiye
| Bölüm Adı | Structure-Preserving Reduced-Order Modeling of Non-Traditional Shallow Water Equation | ||
| Kitap Adı | Model Reduction of Complex Dynamical Systems | ||
| Bölüm Sayfaları | 327-345 | ||
| Kitap Türü | Kitap Bölümü | ||
| Kitap Alt Türü | Alanında uluslararası yayınlanan kitap bölümü | ||
| Kitap Niteliği | Scopus indeksinde taranan bilimsel kitap | ||
| Kitap Dili | İngilizce | Basım Tarihi | 01-2021 |
| DOI Numarası | 10.1007/978-3-030-72983-7_15 | ISBN | 978-3-030-72982-0 |
| Basıldığı Ülke | İsviçre | Basıldığı Şehir | Cham |
| Kitap Linki | https://link.springer.com/chapter/10.1007/978-3-030-72983-7_15 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| An energy- preserving reduced -order model (ROM) is developed for the non-traditional shallow water equation (NTSWE) with full Coriolis force. The NTSWE in the noncanonical Hamiltonian/Poisson form is discretized in space by finite differences. The resulting system of ordinary differential equations is integrated in time by the energy preserving average vector field (AVF) method. The Poisson structure of the discretized NTSWE exhibits a skew-symmetric matrix depending on the state variables. An energy- preserving, computationally efficient reduced order model (ROM) is constructed by proper orthogonal decomposition with Galerkin projection. The nonlinearities are computed for the ROM efficiently by discrete empirical interpolation method. Preservation of the discrete energy and the discrete enstrophy are shown for the full- order model, and for the ROM which ensures the long- term stability of the solutions … |
| Anahtar Kelimeler |
| Finite difference methods | Hamiltonian mechanics | Implicit time integrator | Model order reduction | Shallow water equation |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Google Scholar | 1 |