On the construction of accurate difference schemes for hyperbolic partial differential equations

A calculation method for three-dimensional incompressible turbulent boundary layers

A system of partial differential equations which can be used as a mathematical model for three-dimensional incompressible turbulent boundary layers is discussed. Certain mathematical properties of these equations are elucidated. The equations have a finite domain of dependence; this fact considerably simplifies the problem of calculating three...

On the construction of accurate difference schemes for partial differential equations

Methods are developed for increasing the fidelity of difference approximations to partial differential equations. For simplicity, the discussion is limited to explicit difference approximations to a first order equation, but the train of thought which is followed is more widely applicable. A relation between the discretization error and the...

Measurements in an incompressible three-dimensional turbulent boundary layer under infinite swept wing conditions and a comparison with theory

First a three-dimensional turbulent boundary-layer experiment is described. This experiment has been carried out with the specific aim to provide a test-case for calculation methods. Much attention has been paid to the design of the test set-up. An infinite swept wing flow has been simulated with good accuracy. The initially two-dimensional...