The construction of schemes of higher orders of accuracy for calculating flows of viscous fluids using B splines
Abstract
Schemes of higher orders of accuracy are developed for solving NavierStokes equations using the spline collocation method. As an example, a calculation is made of a viscous fluid flow in a cavity. A stationary solution is obtained using the finite difference scheme of Godunov with variable directions. Schemes of third and fourth orders of accuracy are examined, and the formulation of boundary conditions and their effects are discussed.
 Publication:

Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki
 Pub Date:
 June 1984
 Bibcode:
 1984ZVMMF..24..916K
 Keywords:

 Computational Fluid Dynamics;
 NavierStokes Equation;
 Spline Functions;
 Viscous Flow;
 Accuracy;
 Boundary Conditions;
 Boundary Value Problems;
 Cavities;
 Finite Difference Theory;
 Stream Functions (Fluids);
 Vorticity Equations;
 Wall Flow;
 Fluid Mechanics and Heat Transfer