浮体内槽内强耦合液流及其侧向规则波运动的数值模拟

K. Ohashi
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摘要

. 本文提出了一种用重叠网格法模拟浮体与浮体内储液耦合运动的数值方法。采用了内部结构化的CFD求解器,该求解器支持移动网格技术和覆盖网格法。控制方程为不可压缩流的三维Navier-Stokes方程。速度-压力耦合采用人工可压缩性方法。空间离散是基于有限体积方法。采用基于单相水平集的界面捕获方法对液体表面进行模拟。在计算域内的区域产生横向规则波。通过求解运动方程引入浮体的运动,并将储罐的水动力作为运动方程中的外力处理。浮体和储罐的计算网格采用移动网格技术随运动而变形。覆盖网格插值的权值由内部系统确定,该系统基于弗格森样条插值。本方法适用于有4个贮槽的浮箱,且有侧向规则波入射的情况。倒置网格由浮箱网格、4个水箱网格和产生横向规则波的背景矩形网格组成。将浮箱的运动幅值与实测数据进行了比较,结果表明浮箱的运动幅值随波长比的变化而变化,且受罐内流体的强烈影响。指出了浮箱周围和储罐内部的自由表面,揭示了浮箱与储罐液体流体之间的相互作用。
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Numerical Simulation of Strongly Coupled Liquid Fluids in Tanks inside of Floating Body and its Motions with Incoming Lateral Regular Waves
. Numerical method to simulate the motions of the floating body coupled with the tank liquids inside of the floating body using the overset grids method is developed. An in-house structured CFD solver which is capable the moving grid technique and overset grids method is utilized. The governing equations are 3D Navier-Stokes equations for the incompressible flow. Artificial compressibility approach is used for the velocity-pressure coupling. Spatial discretization is based on a finite-volume method. An interface capturing method based on a single phase level set approach is employed to simulate the liquid surface. Lateral regular waves are generated in the regions inside of the computational domain. The motions of the floating body are introduced by solving the motion equations and the hydrodynamic forces of the tanks are treated as the external forces in the motion equations. The computational grids of the floating body and tanks deform with the motions using the moving grid technique. The weight values for the overset-grid interpolation are determined by an in-house system which is based on Ferguson spline interpolation. The present method is applied to the condition with the floating box which has the 4 tanks inside and the lateral incoming regular waves. The overset grids are composed by the grids of the floating box, 4 tanks and background rectangular grid which generates the lateral regular waves. The amplitudes of the motions of the floating box are compared with the measured data and the present results show the features changing with the wave length ratio which are strongly affected by the liquid fluids inside of the tanks. The free surfaces around the floating box and inside of the tanks are indicated, and the interactions between the floating box and the liquid fluids of the tanks are revealed.
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