Dynamic Adaptive Moving Mesh Finite Volume Method for Navier-Stokes Equations

This work is concerned with a parallel solution of the Navier-Stokes equations on dynamic adaptive moving meshes. The method is applied to the blood flow problem in the moving domain of the left ventricle, reconstructed from the time series of computer tomography scans. The moving mesh of the left ventricle is dynamically adapted in the areas of high vorticity to improve capturing of the flow features. For the flow approximation we use a fully implicit collocated finite volume method. The methods are implemented using functionality of the INMOST platform.