Toward wave-body interaction roblems using CIP method: A demonstrating 2 phase problem

Anh Tien Tran,Hung Quan Bui

doi:10.32508/stdj.v18i4.1006

Abstract

CIP (constrained interpolation profile) is one of the CFD (computational fluid dynamics) methods developed by Japanese professor Takashi Yabe. It is used to simulate 3 phase problems including air on the surface, liquid and structure in solid form. To check the validity of CIP theory, experiments with different problems have been implemented and obtained very positive results. This proves the correctness of the CIP method. Based on the need of simulation of wave structure interaction (water wave with float of seaplanes, wing in ground effect crafts, piers, drilling, casing ships...), this paper applies the theory of CIP method to find the answer to the problem of 2D simulation via a obstacle. Objectives to do are understanding the physics, finding out the differential equations describing the phenomenon, then proceeding discrete, setting up algorithms and finding out solution of the equations. This paper uses Matlab software to write programs and displays the results.

Highlights

1.1.ObjectivesIt is very important to know interaction of water waves on structures
The main objective of this paper is to establish a numerical prediction way for how water waves impact to a solid body
CIP is a CFD method developed by a Japanese professor [1]

Summary

1.1.Objectives

It is very important to know interaction of water waves on structures (body and float of seaplanes, flying boats, piers, drilling, casing ships...). The main objective of this paper is to establish a numerical prediction way for how water waves impact to a solid body. Purpose of this paper includes constructing algorithms and computational simulation modules, calculating the fluid forces acting on the structure (lift, drag, torque) and processing and displaying calculated results. CIP is used to simulate 3phase environments consisting of air over the surface, liquid and a structure. - Using equations to describe the movement of water waves. - Discretizing mathematical equations to establish algorithms programmed on the computer to find the answer. In order to identify which part is the air, the water or the solid body, density functions φm (m=1, 2, 3) is introduced: m x, y,t.

CIP METHOD

Separation of Equations

Problem Statement

Boundary Grid Structure Boundary grid structure is shown in Figure

RESULTS

CONCLUSIONS