A rapid method for the simulation of sloshing using a mathematical model based on the pendulum equation

被引：22

作者：

Godderidge, Bernhard ^{[1
]}

Turnock, Stephen R. ^{[1
]}

Tan, Mingyi ^{[1
]}

机构：

[1] Univ Southampton, Sch Engn Sci, Fluid Struct Interact Res Grp, Southampton SO17 1BJ, Hants, England

来源：

COMPUTERS & FLUIDS | 2012年 / 57卷

基金：

英国工程与自然科学研究理事会;

关键词：

Non-linear pendulum; Sloshing; Computational fluid dynamics; Fluid impact; RECTANGULAR TANK; DYNAMICS; IMPACT;

D O I：

10.1016/j.compfluid.2011.12.018

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A mathematical model for the rapid assessment of sloshing in faster than real time is developed using a phenomenological modelling approach with a pendulum equation. Based on observations of the consistent trajectory of the centre of mass of a sloshing fluid, the imbalance force due to the displacement of the sloshing fluid is linked to the restoring force in the pendulum equation. The damping characteristics are replicated using a first and third-order damping model and impact dynamics are included using a modified impact potential. The equations are solved using a variable-order Adams-Bashforth-Moulton scheme and adequate error tolerances of the numerical scheme are established by reversing the direction of time marching. Solutions are obtained within 0.1% of real time. The proposed methodology is considered suitable for the fast time assessment of sloshing on Liquefied Natural Gas carriers, reduction of test matrices during gas carrier design and the simulation of coupled vessel-sloshing dynamics. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：163 / 171

页数：9

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