## Abstract We develop an efficient fourth‐order finite difference method for solving the incompressible Navier–Stokes equations in the vorticity‐stream function formulation on a disk. We use the fourth‐order Runge–Kutta method for the time integration and treat both the convection and diffusion te
✦ LIBER ✦
A Single-Step Characteristic-Curve Finite Element Scheme of Second Order in Time for the Incompressible Navier-Stokes Equations
✍ Scribed by Hirofumi Notsu; Masahisa Tabata
- Publisher
- Springer US
- Year
- 2008
- Tongue
- English
- Weight
- 397 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0885-7474
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A Galerkin finite element method is considered to approximate the incompressible Navier-Stokes equations together with iterative methods to solve a resulting system of algebraic equations. This system couples velocity and pressure unknowns, thus requiring a special technique for handling. We conside