Approximate calculation of the truncation error of implicit difference solutions for boundary layer flows
Abstract
One approach for the calculation of boundary layer flows is based on the design of difference equations for which the local truncation error remains constant. For an implementation of this approach it is, however, necessary to calculate the truncation error with an accuracy which is adequate for the requirements. A description is in this connection presented of a procedure for calculating the truncation error with the aid of compact discretization. The Laasonen scheme is employed in the difference formulation. The expression for the truncation error contains as coefficients two functions which depend on x and y. These functions can be determined with the aid of differential relations which can be derived from the momentum and continuity equations.
- Publication:
-
Rheinisch Westfaelische Technische Hochschule Aerodynamisches Institut Abhandlungen
- Pub Date:
- 1978
- Bibcode:
- 1978RWTHA..23...50K
- Keywords:
-
- Boundary Layer Equations;
- Boundary Layer Flow;
- Finite Difference Theory;
- Laminar Flow;
- Truncation Errors;
- Two Dimensional Flow;
- Accuracy;
- Continuity Equation;
- Differential Calculus;
- Incompressible Flow;
- Momentum Transfer;
- Steady Flow;
- Velocity Distribution;
- Fluid Mechanics and Heat Transfer