|Title: Modelling physics by usage of a mathematical symbolic solver for transferring analytics theory to numerical “First-Principle-Methods”|
|Written by: Wilfried Abels|
|in: Compit, Berlin 2011|
Abstract: This paper describes an approach, how a mathematical symbolic solver can be used to implement complex mathematical theories to a numerical implementation. This will be explained on hand of an unsteady potential theory for calculation of the lift of propeller blades rotating in a given wake. After a short overview about the analytic theory, it will be explained, how a mathematical model has been developed by the usage of the symbolic solver “Maple”. Afterwards this mathematical model has been used to implement and verify a numerical FORTRAN implementation. By doing this it was possible to implement a small and very fast method, which allows to analyse the influence of a wake to the lift-distribution on a blade.