Solution of the NavierStokes equations using the finitedifference method of Hermitian type
Abstract
The finitedifference method of Hermitian type is extended to the numerical solution of the steadystate incompressible NavierStokes equations in terms of a stream function. The main features of the method based on the finitedifference 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;
 NavierStokes Equation;
 Stream Functions (Fluids);
 Boundary Value Problems;
 Channel Flow;
 Inlet Flow;
 Low Reynolds Number;
 NewtonRaphson Method;
 Fluid Mechanics and Heat Transfer