Abstract:
The application of numerical methods and the development of solution algorithms to solve
various multi-physics scenarios are of prime importance in our modern industrialised world.
This thesis deals with numerical methods to compute Fluid-Structure Interactions (FSI) oc curring with more than one fluid phase. The underlying discretisation technique used is the
versatile finite volume method. The work essentially develops two different components ca pable of accurately handling the multiphase part and the FSI part. It amalgamates them to
develop a formulation capable of handling complex multiphase + FSI problems. The problem’s
multiphase aspect is taken care of here by developing a binary and a ternary flow phase field
formulations based on the modified Cahn-Hilliard equation. The FSI part of the problem is
tackled by using the immersed volume approach, which works by employing a permeability
penalty term to the momentum equations. The final step is to combine both these techniques,
taking the ternary phase field components to compute the interfacial dynamics and using one of
the extra phases as the designated solid phase. The permeability penalty term is applied to the
solid phase, thus giving us a new numerical algorithm to compute multiphase + FSI problems.
A series of validations have been deployed for both the individual models and the combined
approach.
