Application of Overlapping Mesh in Numerical Hydrodynamics

Roozbeh Panahi,Mehdi Shafieefar

doi:10.2478/v10012-008-0018-4

Abstract

Application of Overlapping Mesh in Numerical Hydrodynamics A Finite Volume (FV) algorithm is presented to investigate two-dimensional hydrodynamic problems including 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 is simulated using a fractional stepvolume of fluid algorithm while it is also capable of representing a high quality wave tank, according to implemented temporal discretisation. Rigid body motions are also captured using two overset meshes. Flow variables are transferred using a simple fully implicit non-conservative interpolation scheme which maintains the second-order accuracy of implemented spatial discretisation. A code is developed and an appropriate set of problems are investigated. Results show a good potential to develop a virtual hydrodynamics laboratory.

Highlights

There is an increasing demand to facilitate the use of marine environment by planning onshore infrastructures, offshore platforms, high speed vessels, etc., which are all along with high costs in design as well as in construction
A unified algorithm is developed and examined to tackle hydrodynamic problems including fluid-structure interaction with characteristics indicated in Tab. 1
While body movements are small within a time step, the new host cell for each interpolation cell usually lies in the immediate neighborhood of the previous one

Summary

Introduction

There is an increasing demand to facilitate the use of marine environment by planning onshore infrastructures, offshore platforms, high speed vessels, etc., which are all along with high costs in design as well as in construction. On the r.h.s. of Eq(2), using the common Linear Interpolations (LI) to discretise pressure term (the first term) results in oscillations in the velocity field in the case of twophase flow. Temporal discretisation of the momentum conservation equations is in direct relation to the way that the pressure and the velocity fields are coupled.

Results

Conclusion