دورية أكاديمية
A dispersion analysis of uniformly high order, interior and boundaries, mimetic finite difference solutions of wave propagation problems
| العنوان: | A dispersion analysis of uniformly high order, interior and boundaries, mimetic finite difference solutions of wave propagation problems |
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| المؤلفون: | Rojas, Otilio, Mendoza, Larry, Otero Calviño, Beatriz, Villamizar Morales, Jorge, Calderón, Giovanni, Castillo, José, Miranda, Guillermo |
| المساهمون: | Universitat Politècnica de Catalunya. Departament d'Arquitectura de Computadors, Barcelona Supercomputing Center, Universitat Politècnica de Catalunya. CRAAX - Centre de Recerca d'Arquitectures Avançades de Xarxes |
| بيانات النشر: | Springer |
| سنة النشر: | 2024 |
| المجموعة: | Universitat Politècnica de Catalunya, BarcelonaTech: UPCommons - Global access to UPC knowledge |
| مصطلحات موضوعية: | Àrees temàtiques de la UPC::Informàtica::Arquitectura de computadors, Wave-motion, Theory of, Wave propagation, Von Neumann analysis, Numerical dispersion and stability, Mimetic finite differences, Moviment ondulatori, Teoria del |
| الوصف: | A preliminary stability and dispersion study for wave propagation problems is developed for mimetic finite difference discretizations. The discretization framework corresponds to the fourth-order staggered-grid Castillo-Grone operators that offer a sextuple of free parameters. The parameter-dependent mimetic stencils allow problem discretization at domain boundaries and at the neighbor grid cells. For arbitrary parameter sets, these boundary and near-boundary mimetic stencils are lateral, and we here draw first steps on the parametric dependency of the stability and dispersion properties of such discretizations. As a reference, our analyses also present results based on Castillo-Grone parameters leading to mimetic operators of minimum bandwidth that have been previously applied in similar physical problems. The most interior parameter-dependent mimetic stencils exhibit a specific Toeplitz-like structure, which reduces to the standard central finite difference formula for staggered differentiation at grid interior. Thus, our results apply to the whole discretization grid. The study done for the 1-D problem could be applied to the discretization of a free surface boundary condition along an orthogonal gridline to this boundary. ; This work is partially supported by the Generalitat de Catalunya under Grant 2021SGR00326, the Spanish Ministry of Science and Innovation under contract PID2021-124463OB-IOO, and the HORIZON VITAMIN-V (101093062) project. We also thank to the Faculty of Engineering and the Faculty of Science of Universidad Central de Venezuela. Finally, the research leading to these results has been funded by HORIZON DT-GEO (101058129) project. ; Peer Reviewed ; Postprint (published version) |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | 21 p.; application/pdf |
| اللغة: | English |
| تدمد: | 1869-2680 |
| العلاقة: | https://link.springer.com/article/10.1007/s13137-023-00242-9Test; info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación (PEICTI) 2017-2020/PID2021-124463OB-100/ES/GESTIÓN INTELIGENTE DEL CLOUD CONTINUUM: DESARROLLO DE LAS FUNCIONALIDADES CLAVE DE UN SO; Rojas, O. [et al.]. A dispersion analysis of uniformly high order, interior and boundaries, mimetic finite difference solutions of wave propagation problems. "GEM", 2024, vol. 15, article 3.; http://hdl.handle.net/2117/398014Test |
| DOI: | 10.1007/s13137-023-00242-9 |
| الإتاحة: | https://doi.org/10.1007/s13137-023-00242-9Test http://hdl.handle.net/2117/398014Test |
| حقوق: | Attribution 4.0 International ; http://creativecommons.org/licenses/by/4.0Test/ ; Open Access |
| رقم الانضمام: | edsbas.2044E88 |
| قاعدة البيانات: | BASE |
| تدمد: | 18692680 |
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| DOI: | 10.1007/s13137-023-00242-9 |