Strongly implicit alternating triangular method using B-splines to calculate viscous-fluid flows
Abstract
Incomplete factorization is used to develop an absolutely stable, strongly implicit algorithm using B-splines to solve the Navier-Stokes equations in vortex-stream function variables. The algorithm is characterized by complete coupling of the boundary conditions for unknown functions, a high rate of convergence, and high accuracy of the numerical solution. The Laplace equation is solved and viscous flow in a square cavity is calculated by way of illustration.
- Publication:
-
TsAGI Uchenye Zapiski
- Pub Date:
- 1984
- Bibcode:
- 1984ZaTsA..15...30K
- Keywords:
-
- Computational Fluid Dynamics;
- Spline Functions;
- Viscous Flow;
- Algorithms;
- Cavitation Flow;
- Laplace Equation;
- Navier-Stokes Equation;
- Vortices;
- Fluid Mechanics and Heat Transfer