Methods of solution of the velocity-vorticity formulation of the Navier-Stokes equations

Journal Article · Fri Dec 01 00:00:00 EST 1995 · Journal of Computational Physics

DOI:https://doi.org/10.1006/jcph.1995.1215· OSTI ID:283073

Dennis, S C.R. ^[1]; Hudson, J D ^[2]

---

1. Univ. of Western Ontario, London (Canada)
2. Univ. of Sheffield (United Kingdom)

Some methods are proposed for solving the Navier-Stokes equations for two-dimensional, incompressible, flow using the velocity-vorticity 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. 11 refs., 9 tabs.

• OSTI ID: 283073
• Journal Information: Journal of Computational Physics, Vol. 122, Issue 2; Other Information: PBD: Dec 1995
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES
99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
INCOMPRESSIBLE FLOW
BOUNDARY-VALUE PROBLEMS
VELOCITY
VORTEX FLOW
CONTINUITY EQUATIONS
TWO-DIMENSIONAL CALCULATIONS