A finite volume algorithm based on overlapping meshes for simulation of hydrodynamic problems

Abstract

A finite volume algorithm was established in order to investigate two-dimensional hydrodynamic problems. These include viscous free surface flow interaction with free rigid bodies in the case of large and/or relative motions. Two-phase flow with complex deformations at the interface was simulated using a fractional step-volume of fluid algorithm. In addition, body motions were captured by an overlapping mesh system. Here, flow variables are transferred using a simple fully implicit non-conservative interpolation scheme which maintains the second-order accuracy of implemented spatial discretisation. Code was developed and an appropriate set of problems investigated. Results show good potential for development of a virtual hydrodynamics laboratory.

Simulation of Water-Entry and Water-Exit Problems Using a Moving Mesh Algorithm

“…At this stage, a strategy is required to introduce such movements into the computational domain and to update it for the next time step. There are a wide variety of strategies [14] such as overlapping mesh [15]. Here, a boundary-fitted grid which follows the time history of the body motions is used [16].…”