Incompressible NavierStokes and parabolized NavierStokes solution procedures and computational techniques
Abstract
Recent developments with finitedifference techniques are emphasized. The quotation marks reflect the fact that any finite discretization procedure can be included in this category. Many socalled finite element collocation and galerkin methods can be reproduced by appropriate forms of the differential equations and discretization formulas. Many of the difficulties encountered in early NavierStokes calculations were inherent not only in the choice of the different equations (accuracy), but also in the method of solution or choice of algorithm (convergence and stability, in the manner in which the dependent variables or discretized equations are related (coupling), in the manner that boundary conditions are applied, in the manner that the coordinate mesh is specified (grid generation), and finally, in recognizing that for many high Reynolds number flows not all contributions to the NavierStokes equations are necessarily of equal importance (parabolization, preferred direction, pressure interaction, asymptotic and mathematical character). It is these elements that are reviewed. Several NavierStokes and parabolized NavierStokes formulations are also presented.
 Publication:

In Von Karman Inst. for Fluid Dyn. Computational Fluid Dyn. 138 p (SEE N8319024 0934
 Pub Date:
 1982
 Bibcode:
 1982cofd.vkifQ....R
 Keywords:

 Computational Fluid Dynamics;
 Incompressible Flow;
 NavierStokes Equation;
 Channel Flow;
 Finite Difference Theory;
 Grid Generation (Mathematics);
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer