Incompressible fluid dynamics: some fundamental formulation issues
Abstract
The Navier-Stokes equations for incompressible flow are considered as a well-posed initial/boundary-value problem, reviewing the results of recent analytical and numerical investigations. Sections are devoted to the omnipotence of the incompressibility condition, alternative forms of the Navier-Stokes equations, the pressure-Poisson and vorticity-transport equations, boundary conditions for the velocity and pressure, boundary conditions for the vorticity, and the influence of initial conditions other than incompressibility. Typical numerical results are presented in extensive graphs and briefly characterized.
- Publication:
-
Annual Review of Fluid Mechanics
- Pub Date:
- 1991
- DOI:
- 10.1146/annurev.fl.23.010191.002213
- Bibcode:
- 1991AnRFM..23..413G
- Keywords:
-
- Boundary Value Problems;
- Computational Fluid Dynamics;
- Incompressible Flow;
- Vorticity;
- Boundary Conditions;
- Flow Velocity;
- Navier-Stokes Equation;
- Fluid Mechanics and Heat Transfer