An embedding approach, based on Fourier expansions and boundary integral equations, is applied to the vorticity-stream function formulation of the Navier-Stokes equations. The algorithm only requires efficient solvers of scalar elliptic equations and, in an asymptotic version, the boundary element m
Orthogonal spline collocation methods for the stream function-vorticity formulation of the Navier–Stokes equations
✍ Scribed by Graeme Fairweather; Heping Ma; Weiwei Sun
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 164 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0749-159X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Some methods are proposed for solving the Navier-Stokes equations for two-dimensional, incompressible, flow using the velocityvorticity formulation. The main feature of the work is the solution of the equation of continuity using boundary-value techniques. This is possible because both of the veloci
We use the bivariate spline finite elements to numerically solve the steady state Navier-Stokes equations. The bivariate spline finite element space we use in this article is the space of splines of smoothness r and degree 3r over triangulated quadrangulations. The stream function formulation for th
## Abstract We use a bivariate spline method to solve the time evolution Navier‐Stokes equations numerically. The bivariate splines we use in this article are in the spline space of smoothness __r__ and degree 3__r__ over triangulated quadrangulations. The stream function formulation for the Navier