کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
498508 862997 2011 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Discretizations in isogeometric analysis of Navier–Stokes flow
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Discretizations in isogeometric analysis of Navier–Stokes flow
چکیده انگلیسی

This paper deals with isogeometric analysis of 2-dimensional, steady state, incompressible Navier–Stokes flow subjected to Dirichlet boundary conditions. We present a detailed description of the numerical method used to solve the boundary value problem. Numerical inf–sup stability tests for the simplified Stokes problem confirm the existence of many stable discretizations of the velocity and pressure spaces, and in particular show that stability may be achieved by means of knot refinement of the velocity space. Error convergence studies for the full Navier–Stokes problem show optimal convergence rates for this type of discretizations. Finally, a comparison of the results of the method to data from the literature for the lid-driven square cavity for Reynolds numbers up to 10,000 serves as benchmarking of the discretizations and confirms the robustness of the method.


► We solve Navier–Stokes equations using isogeometric analysis.
► We examine different discretizations of the pressure and velocity spaces.
► Stability may be achieved by means of knot refinement of the velocity space.
► Optimal error convergence is found when using knot refinement of the velocity space.
► All examined discretizations perform well in the lid-driven cavity benchmark problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 200, Issues 45–46, 15 October 2011, Pages 3242–3253
نویسندگان
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