Material properties are very important to model correctly when calculating solutions for multiphase flows with non-Newtonian fluids. The models can make the solution converge or diverge depending on how it is chosen. This paper mainly focuses of the applicability of solid pressure and viscosity models in Ansys CFX. The main goal is to create a list of criterions that material properties must fullfill to ensure that the solution converges. Furthermore a test environment in MATLAB was made that verifies if the models satisfies the list of criterions. It was found that as long as the material properties has continous derivatives without removable singularities and are non imaginary on their domain they are applicable in Ansys CFX. It was also found that if there was a discontinuity in their domain the discontinuity could be moved outside of the domain using an assymetric model for the volume fraction.

This thesis explores the application of Radial Basis Functions (RBFs) to fluid dynamical problems. In particular, stationary Stokes and Navier-Stokes equations are solved using RBF collocation method. An existing approach from the literature, is enchanced by an additional polynomial basis and a new preconditioner. A faster method based on the partition of unity is introduced for stationary Stokes equations. Finally, a global method based on Picard linearization is introduced for stationary Navier-Stokes equations. / Denna avhandling utforskar tillämpningen av Radial Basis Functions (RBF) på dynamiska problem med vätskor. I synnerhet löses stationära Stokes och Navier-Stokes ekvationer lösas med hjälp av RBF-samlokaliseringsmetoden. En befintlig metod från litteraturen, förbättras genom en ytterligare polynombas och en ny förkonditionering. En snabbare metod baserad på enhetens partition introduceras för stationära Stokes-ekvationer. Slutligen introduceras en global metod baserad på Picard linjärisering för stationära Navier-Stokes ekvationer.