The application of splines to the numerical solution of the NavierStokes equations at high Reynolds numbers
Abstract
The feasibility of using splines to approximate functions with large gradients in the case of the numerical solution of nonlinear problems is investigated. The example considered is the numerical solution of the NavierStokes equations for the flow of a viscous incompressible fluid past a flat semiinfinite plate at Reynolds numbers of 1000 to 100,000. It is shown that the use of splines on nonuniform grids makes it possible to achieve satisfactory results also for grids with a relatively small number of nodes.
 Publication:

TsAGI Uchenye Zapiski
 Pub Date:
 1982
 Bibcode:
 1982ZaTsA..13...31K
 Keywords:

 Computational Fluid Dynamics;
 High Reynolds Number;
 Incompressible Flow;
 NavierStokes Equation;
 Spline Functions;
 Viscous Flow;
 Coefficient Of Friction;
 Computational Grids;
 Flat Plates;
 Flow Resistance;
 Flow Velocity;
 Gradients;
 Nonlinear Equations;
 Fluid Mechanics and Heat Transfer