Solution of the Navier-Stokes equations using the finite-difference method of Hermitian type
Abstract
The finite-difference method of Hermitian type is extended to the numerical solution of the steady-state incompressible Navier-Stokes equations in terms of a stream function. The main features of the method based on the finite-difference approximation by Hermite interpolation formulas are presented. For some simple test problems numerical results are discussed with respect to accuracy and number of iterations. Comparisons are made for the inlet region of a channel at low Reynolds numbers.
- Publication:
-
Numerical Methods in Fluid Mechanics
- Pub Date:
- 1982
- Bibcode:
- 1982nmfm.conf..326T
- Keywords:
-
- Computational Fluid Dynamics;
- Finite Difference Theory;
- Hermitian Polynomial;
- Incompressible Flow;
- Navier-Stokes Equation;
- Stream Functions (Fluids);
- Boundary Value Problems;
- Channel Flow;
- Inlet Flow;
- Low Reynolds Number;
- Newton-Raphson Method;
- Fluid Mechanics and Heat Transfer