𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Methods of Solution of the Velocity-Vorticity Formulation of the Navier-Stokes Equations

✍ Scribed by S.C.R. Dennis; J.D. Hudson

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
355 KB
Volume
122
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.

✦ Synopsis

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 velocity components are known at each boundary point. Some illustrative results are computed including some for heat convection inside a square cavity when one side is held at a constant temperature. 1995 Academic Press. Inc.

📜 SIMILAR VOLUMES

Vorticity-velocity formulation for the N
Vorticity-velocity formulation for the Navier-Stokes equations: The three-dimensional case
✍ Theodore Tachim Medjo 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 160 KB 👁 2 views

In this article, we propose a mixed method for the vorticity-velocity formulation of the stationary Stokes and Navier-Stokes equations in space dimension three, the unknowns being the vorticity and the velocity of the fluid. We give a similar variational formulation for the nonstationary Stokes equa

A Compact-Difference Scheme for the Navi
A Compact-Difference Scheme for the Navier–Stokes Equations in Vorticity–Velocity Formulation
✍ Hubert L. Meitz; Hermann F. Fasel 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 215 KB

This paper presents a new numerical method for solving the incompressible, unsteady Navier-Stokes equations in vorticity-velocity formulation. The method is applicable to spatial simulations of transitional and turbulent boundary layer flows. It is based on a compact-difference discretization of the