Towards a numerical hydrodynamics laboratory by developing an overlapping mesh solver based on a moving mesh solver; verification and application

摘要

Simple extension of an available finite volume moving mesh algorithm to an overlapping mesh solver is discussed. The resultant solver can then overcome difficulties with relative/large motions as well as mesh generation in comparison to those when using a moving mesh. However, it handles hydrodynamic problems including viscous free surface flow interaction with a free rigid body. Changes arise from using more than a mesh in the computational domain by an overlapping mesh system which accompanies data transfer and solving discrete sets of equations. By developing a two-dimensional code, different aspects of the proposed solver have been discussed by simulating a cavity flow, an unsymmetrical current around a cylinder in a channel, wave generation using an analytical solution and a wedge-type wavemaker and finally, free falling of a cylinder into calm water. Comparison of results to available data shows the capabilities of the solver in spite of its simplicity, as well.