simulation of engine lubricity

I am looking for someone with expertise knowledge in numerical and dynamic modelling of IC engine lubrication for PhD thesis project.
Develop an original Matlab-Simulink algorithm for the numerical solution of the differential non-linear equations of motion of the unbalanced flexible rotor supported on hydrodynamic journal bearings.
Comparison between the numerical solution of Reynolds equation using Finite Difference Method (FDM), Finite element method and Finite volume method for Elastohydrodynamic engine journal bearing.