The FON method for the steady two-dimensional Navier-Stokes equations
Abstract
The Fourth-Order Newton (FON) method, employing a direct linear biharmonic solver, is used to solve the finite-difference formulation of the steady, incompressible Navier-Stokes equations in an iterative Newton scheme. Accurate solutions to a number of problems for small and large Reynolds numbers are obtained in a few iterations, employing strained grids. Special attention is paid to the problem of separation caused by non-parallel entrance flow.
- Publication:
-
Computers and Fluids
- Pub Date:
- September 1981
- Bibcode:
- 1981CF......9..365W
- Keywords:
-
- Computational Fluid Dynamics;
- Finite Difference Theory;
- Flat Plates;
- Navier-Stokes Equation;
- Newton-Raphson Method;
- Parallel Flow;
- Biharmonic Equations;
- Boundary Value Problems;
- Fluid Boundaries;
- Incompressible Flow;
- Newton Methods;
- Reynolds Number;
- Separated Flow;
- Two Dimensional Flow;
- Uniform Flow;
- Vortices;
- Wall Flow;
- Fluid Mechanics and Heat Transfer