Asymptotically proved numerical coupling of a 2D flexural porous plate with the 3D Stokes fluid

التفاصيل البيبلوغرافية
العنوان: Asymptotically proved numerical coupling of a 2D flexural porous plate with the 3D Stokes fluid
المؤلفون: Krier, Maxime, Orlik, Julia, Panasenko, Grigory, Steiner, Konrad
سنة النشر: 2023
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Mathematics - Numerical Analysis, Mathematics - Functional Analysis
الوصف: This paper presents an efficient coupling of the 3D Stokes flow interacting with an effective perforated periodic heterogeneous anisotropic 2D plate. The effective model was obtained by the asymptotic analysis in earlier works and here an effective numerical algorithm is given. By $Q_3$ or bi-cubic spacial interpolation the time-dependent problem was reduced to an algebraic system of ordinary differential equation in time. Different examples were given, demonstrating the influence of the structural plate parameters on the solution.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2401.00331
رقم الأكسشن: edsarx.2401.00331
قاعدة البيانات: arXiv