A Numerical Scheme for Dynamic Liquid Sloshing in Horizontal Cylindrical Containers

Liming Dai1, Liang Xu1
1Industrial Systems Engineering, University of Regina, Regina, Saskatchewan, Canada

Tóm tắt

A numerical scheme for the analysis of liquids sloshing in horizontal cylindrical rigid containers is presented. The governing equations of the liquid are transformed by three continuous coordinate transformations to avoid the use of interpolation of the boundary conditions on the curved walls and capturing of the free surface, as well as to gain convergence and computational stability of numerical computation. The efficiency of the proposed method is demonstrated by numerical simulations using the finite difference method for two-dimensional circular containers and three-dimensional cylindrical containers. The method can be used to simulate the liquid sloshing under normal highway operating conditions when lateral accelerations are below the roll-over threshold. This approach can be extended to containers with walls of arbitrary shapes.

Từ khóa


Tài liệu tham khảo

Abramson H. N., Silverman S. The dynamic behavior of liquids in moving containers. NASA SP-106, 1966.

10.1115/1.3097293

10.1017/S0022112000003311

10.1063/1.1569917

Lamb H., Hydrodynamics, 10.5962/bhl.title.18729

10.2514/8.8467

10.1016/S0065-2156(08)70007-3

10.1017/S0022112089000923

McCarty J. L., Stephens D. G. Investigation of the natural frequencies of fluids in spherical and cylindrical tanks. NASA Technical Note, D-252, 1960.

10.1115/1.3265637

10.1115/1.2929615

10.1115/1.1668165

Tosaka N., 1989, BEM: Advances in Solid and Fluid Mechanics

10.1243/PIME_PROC_1993_207_147_02

Solaas F., 1997, J. Ship Res., 41, 118, 10.5957/jsr.1997.41.2.118

10.1002/(SICI)1097-0207(19980130)41:2<195::AID-NME290>3.0.CO;2-5

10.5957/jsr.2002.46.3.186

10.1002/fld.1650070602

10.1016/S0045-7930(02)00006-3

10.1175/1520-0469(1957)014<0184:ACSHSS>2.0.CO;2

10.1080/00221689409498742

10.1006/jfls.1999.0221

10.1002/fld.146

10.1002/fld.539

10.1016/j.jcp.2003.10.031

10.1016/S0022-460X(02)01065-9

Tosaka N., Boundary integral methods, theory and applications