Electronic Resource
Numerical simulations of a dispersive model approximating free-surface Euler equations
| العنوان: | Numerical simulations of a dispersive model approximating free-surface Euler equations |
|---|---|
| المؤلفون: | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII), Universidad de Sevilla. FQM120: Modelado Matemático y Simulación de Sistemas Medioambientales, Gobierno de España, European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER), Junta de Andalucía, Universidad de Málaga, Escalante Sánchez, Cipriano, Fernández Nieto, Enrique Domingo, Morales de Luna, Tomás, Penel, Yohan, Sainte-Marie, Jacques |
| بيانات النشر: | Springer 2021-10-18 |
| نوع الوثيقة: | Electronic Resource |
| مستخلص: | In some configurations, dispersion effects must be taken into account to improve the simulation of complex fluid flows. A family of free-surface dispersive models has been derived in Fernández-Nieto et al. (Commun Math Sci 16(05):1169–1202, 2018). The hierarchy of models is based on a Galerkin approach and parameterised by the number of discrete layers along the vertical axis. In this paper we propose some numerical schemes designed for these models in a 1D open channel. The cornerstone of this family of models is the Serre – GreenNaghdi model which has been extensively studied in the literature from both theoretical and numerical points of view. More precisely, the goal is to propose a numerical method for the LDNH2 model that is based on a projection method extended from the one-layer case to any number of layers. To do so, the one-layer case is addressed by means of a projectioncorrection method applied to a non-standard differential operator. A special attention is paid to boundary conditions. This case is extended to several layers thanks to an original relabelling of the unknowns. In the numerical tests we show the convergence of the method and its accuracy compared to the LDNH0 model. |
| مصطلحات الفهرس: | Numerical simulations, Euler equations, info:eu-repo/semantics/article |
| URL: | Journal of Scientific Computing, 89 (55) RTI2018-096064-B-C21 RTI2018-096064- B-C22 (SG-ERDF) UMA18-Federja-161 (RGA-ERDF-UMA) P18-RT-3163 (RGA-ERDF) |
| الاتاحة: | Open access content. Open access content http://creativecommons.org/licenses/by-nc-nd/4.0 info:eu-repo/semantics/openAccess Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
| ملاحظة: | English |
| Other Numbers: | SUE oai:idus.us.es:11441/127670 Escalante Sánchez, C., Fernández Nieto, E.D., Morales de Luna, T., Penel, Y. y Sainte-Marie, J. (2021). Numerical simulations of a dispersive model approximating free-surface Euler equations. Journal of Scientific Computing, 89 (55) 0885-7474 1573-7691 https://hdl.handle.net/11441/127670 10.1007/s10915-021-01552-6 1290379548 |
| المصدر المساهم: | UNIV DE SEVILLA From OAIster®, provided by the OCLC Cooperative. |
| رقم الانضمام: | edsoai.on1290379548 |
| قاعدة البيانات: | OAIster |
| الوصف غير متاح. |