مورد إلكتروني
Convergence of the implicit MAC-discretized Navier--Stokes equations with variable density and viscosity on non-uniform grids
| العنوان: | Convergence of the implicit MAC-discretized Navier--Stokes equations with variable density and viscosity on non-uniform grids |
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| المؤلفون: | Batteux, Léa, Gallouët, Thierry, Herbin, Raphaele, Latché, Jean-Claude, Poullet, Pascal |
| بيانات النشر: | 2021-07-21 |
| نوع الوثيقة: | Electronic Resource |
| مستخلص: | The present paper is focused on the proof of the convergence of the discrete implicit Marker-and-Cell (MAC) scheme for time-dependent Navier--Stokes equations with variable density and variable viscosity. The problem is completed with homogeneous Dirichlet boundary conditions and is discretized according to a non-uniform Cartesian grid. A priori-estimates on the unknowns are obtained, and along with a topological degree argument they lead to the existence of a solution of the discrete scheme at each time step. We conclude with the proof of the convergence of the scheme toward the continuous problem as mesh size and time step tend toward zero with the limit of the sequence of discrete solutions being a solution to the weak formulation of the problem. |
| مصطلحات الفهرس: | Mathematics - Numerical Analysis, 35Q30, 65M08, 65N12, 76M12, text |
| URL: | |
| الإتاحة: | Open access content. Open access content |
| أرقام أخرى: | COO oai:arXiv.org:2107.10117 1269565636 |
| المصدر المساهم: | CORNELL UNIV From OAIster®, provided by the OCLC Cooperative. |
| رقم الأكسشن: | edsoai.on1269565636 |
| قاعدة البيانات: | OAIster |
| الوصف غير متاح. |