Application of scaled boundary finite element analysis for sloshing characteristics in an annular cylindrical container with porous structures

Wenbin Ye, Jun Liu, Gao Lin, Bin Xu, Long Yu

Research output: Contribution to journalReview article

3 Citations (Scopus)

Abstract

The scaled boundary finite element method (SBFEM) is introduced for the investigation of the liquid sloshing in an annular cylindrical container with the coaxial porous structures. The main advantages of the SBFEM for this problem is that only the outer wall of the annular tank is discretized while the inner wall and the porous structures need not be treated, which is not only convenient for the generation of mesh, but also reduces the spatial dimension by one. Meanwhile, the solutions of the velocity potential are analytical in the radical direction of the scaled boundary coordinate system. In this paper, two types of the porous structures, that are, the circular and the arc-shaped porous structures, are taken into account. For the arc-shaped system, a virtual circular by extending the arc-shaped structure porous is introduced and one can set the porous-effect parameter of the virtual section to infinity, so that the whole flow domain can be divided into two sub-domains by the porous structure as the same approach with the circular system. By the assumption of the incompressible, inviscid, and irrotational flow and using the variational principle, the SBFEM governing equations with respect to the radical coordinate of the velocity potential in each sub-domain are obtained. Then, the governing equations can be solved analytically by introducing the Bessel functions and the modified Bessel functions as the base solutions. The excellent efficiency and accuracy of the proposed formulations are demonstrated by comparing the SBFEM numerical results with the analytical solutions. In addition, the effects of the different parameters for sloshing characteristics, such as the porous-effect parameter, radius of porous structure, standing wave number, opening degree and location of the arc-shaped porous structure are further studied.

Original languageEnglish
Pages (from-to)94-113
Number of pages20
JournalEngineering Analysis with Boundary Elements
Volume97
DOIs
Publication statusPublished - 1 Dec 2018

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Sloshing
Liquid sloshing
Container
Containers
Finite Element
Finite element method
Bessel functions
Scaled Boundary Finite-element Method
Arc of a curve
Governing equation
Modified Bessel Functions
Coaxial
Standing Wave
Bessel Functions
Variational Principle
Analytical Solution
Radius
Infinity
Mesh
Liquid

Cite this

@article{be9e194ead45419ca45e8a6f87d9e9f7,
title = "Application of scaled boundary finite element analysis for sloshing characteristics in an annular cylindrical container with porous structures",
abstract = "The scaled boundary finite element method (SBFEM) is introduced for the investigation of the liquid sloshing in an annular cylindrical container with the coaxial porous structures. The main advantages of the SBFEM for this problem is that only the outer wall of the annular tank is discretized while the inner wall and the porous structures need not be treated, which is not only convenient for the generation of mesh, but also reduces the spatial dimension by one. Meanwhile, the solutions of the velocity potential are analytical in the radical direction of the scaled boundary coordinate system. In this paper, two types of the porous structures, that are, the circular and the arc-shaped porous structures, are taken into account. For the arc-shaped system, a virtual circular by extending the arc-shaped structure porous is introduced and one can set the porous-effect parameter of the virtual section to infinity, so that the whole flow domain can be divided into two sub-domains by the porous structure as the same approach with the circular system. By the assumption of the incompressible, inviscid, and irrotational flow and using the variational principle, the SBFEM governing equations with respect to the radical coordinate of the velocity potential in each sub-domain are obtained. Then, the governing equations can be solved analytically by introducing the Bessel functions and the modified Bessel functions as the base solutions. The excellent efficiency and accuracy of the proposed formulations are demonstrated by comparing the SBFEM numerical results with the analytical solutions. In addition, the effects of the different parameters for sloshing characteristics, such as the porous-effect parameter, radius of porous structure, standing wave number, opening degree and location of the arc-shaped porous structure are further studied.",
keywords = "Annular cylindrical tank, Liquid sloshing, Porous structure, Scaled boundary finite element method, Variational principle",
author = "Wenbin Ye and Jun Liu and Gao Lin and Bin Xu and Long Yu",
year = "2018",
month = "12",
day = "1",
doi = "10.1016/j.enganabound.2018.09.013",
language = "English",
volume = "97",
pages = "94--113",
journal = "Engineering Analysis with Boundary Elements",
issn = "0955-7997",
publisher = "Elsevier",

}

Application of scaled boundary finite element analysis for sloshing characteristics in an annular cylindrical container with porous structures. / Ye, Wenbin; Liu, Jun; Lin, Gao; Xu, Bin; Yu, Long.

In: Engineering Analysis with Boundary Elements, Vol. 97, 01.12.2018, p. 94-113.

Research output: Contribution to journalReview article

TY - JOUR

T1 - Application of scaled boundary finite element analysis for sloshing characteristics in an annular cylindrical container with porous structures

AU - Ye, Wenbin

AU - Liu, Jun

AU - Lin, Gao

AU - Xu, Bin

AU - Yu, Long

PY - 2018/12/1

Y1 - 2018/12/1

N2 - The scaled boundary finite element method (SBFEM) is introduced for the investigation of the liquid sloshing in an annular cylindrical container with the coaxial porous structures. The main advantages of the SBFEM for this problem is that only the outer wall of the annular tank is discretized while the inner wall and the porous structures need not be treated, which is not only convenient for the generation of mesh, but also reduces the spatial dimension by one. Meanwhile, the solutions of the velocity potential are analytical in the radical direction of the scaled boundary coordinate system. In this paper, two types of the porous structures, that are, the circular and the arc-shaped porous structures, are taken into account. For the arc-shaped system, a virtual circular by extending the arc-shaped structure porous is introduced and one can set the porous-effect parameter of the virtual section to infinity, so that the whole flow domain can be divided into two sub-domains by the porous structure as the same approach with the circular system. By the assumption of the incompressible, inviscid, and irrotational flow and using the variational principle, the SBFEM governing equations with respect to the radical coordinate of the velocity potential in each sub-domain are obtained. Then, the governing equations can be solved analytically by introducing the Bessel functions and the modified Bessel functions as the base solutions. The excellent efficiency and accuracy of the proposed formulations are demonstrated by comparing the SBFEM numerical results with the analytical solutions. In addition, the effects of the different parameters for sloshing characteristics, such as the porous-effect parameter, radius of porous structure, standing wave number, opening degree and location of the arc-shaped porous structure are further studied.

AB - The scaled boundary finite element method (SBFEM) is introduced for the investigation of the liquid sloshing in an annular cylindrical container with the coaxial porous structures. The main advantages of the SBFEM for this problem is that only the outer wall of the annular tank is discretized while the inner wall and the porous structures need not be treated, which is not only convenient for the generation of mesh, but also reduces the spatial dimension by one. Meanwhile, the solutions of the velocity potential are analytical in the radical direction of the scaled boundary coordinate system. In this paper, two types of the porous structures, that are, the circular and the arc-shaped porous structures, are taken into account. For the arc-shaped system, a virtual circular by extending the arc-shaped structure porous is introduced and one can set the porous-effect parameter of the virtual section to infinity, so that the whole flow domain can be divided into two sub-domains by the porous structure as the same approach with the circular system. By the assumption of the incompressible, inviscid, and irrotational flow and using the variational principle, the SBFEM governing equations with respect to the radical coordinate of the velocity potential in each sub-domain are obtained. Then, the governing equations can be solved analytically by introducing the Bessel functions and the modified Bessel functions as the base solutions. The excellent efficiency and accuracy of the proposed formulations are demonstrated by comparing the SBFEM numerical results with the analytical solutions. In addition, the effects of the different parameters for sloshing characteristics, such as the porous-effect parameter, radius of porous structure, standing wave number, opening degree and location of the arc-shaped porous structure are further studied.

KW - Annular cylindrical tank

KW - Liquid sloshing

KW - Porous structure

KW - Scaled boundary finite element method

KW - Variational principle

UR - http://www.scopus.com/inward/record.url?scp=85054769065&partnerID=8YFLogxK

U2 - 10.1016/j.enganabound.2018.09.013

DO - 10.1016/j.enganabound.2018.09.013

M3 - Review article

VL - 97

SP - 94

EP - 113

JO - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

SN - 0955-7997

ER -