کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
498508 | 862997 | 2011 | 12 صفحه PDF | دانلود رایگان |

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.
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 200, Issues 45–46, 15 October 2011, Pages 3242–3253