## 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
Analysis of a fourth order finite difference method for the incompressible Boussinesq equations
✍ Scribed by Cheng Wang; Jian-Guo Liu; Hangs Johnston
- Publisher
- Springer-Verlag
- Year
- 2004
- Tongue
- English
- Weight
- 355 KB
- Volume
- 97
- Category
- Article
- ISSN
- 0029-599X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract A fourth‐order compact finite‐difference method is proposed in this paper to solve the system of two‐dimensional Burgers' equations. The new method is based on the two‐dimensional Hopf–Cole trans‐formation, which transforms the system of two‐dimensional Burgers' equations into a linear
## Abstract A fourth‐order compact finite difference scheme on the nine‐point 2D stencil is formulated for solving the steady‐state Navier–Stokes/Boussinesq equations for two‐dimensional, incompressible fluid flow and heat transfer using the stream function–vorticity formulation. The main feature o
A new finite difference scheme with minimal phase-lag for the numerical solutton of fourth-order differential equations with engineering applications is developed in this paper. Numerical and theoretical results show that this new approach is more efficient compared with previously derived methods.