Skip to main content
SpringerLink
Log in
Book cover

The International Conference on Applied Nonlinear Dynamics, Vibration and Control

ICANDVC 2021: Advances in Applied Nonlinear Dynamics, Vibration and Control -2021 pp 729–738Cite as

Isogeometric Analysis for Two-Phase Liquid Sloshing

  • Conference paper
  • First Online:

  • 3075 Accesses

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 799))

Abstract

The large-amplitude sloshing of propellant is a widely concerned problem in aerospace engineering. Computational fluid dynamics methods have been proposed to simulate large-amplitude liquid sloshing for decades, with several meshed or meshless methods. This paper proposes an isogeometric analysis (IGA) method for sloshing simulation. The main challenges are tracking liquid free surface and time step convergence. Level Set method is combined with IGA with fixed grids to track free surface moving, also can be used to track liquid separateness which is quite common in large-amplitude sloshing. As IGA can provide numerically accurate solution at any location in computational domain, the mesh of Level Set can be different with IGA mesh without losing accuracy. Characteristic-Based Split (CBS) method is used to control divergence of each time step. The numerical results are compared to published numerical results and Flow3D software results for validation, and good agreement is observed.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Free shipping worldwide - see info
Hardcover Book
USD   329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Yue B (2011) Study on the chaotic dynamics in attitude maneuver of liquid-filled flexible spacecraft. AIAA J 49(10):2090–2099

    Article  Google Scholar 

  2. Abramson HN (2003) Dynamics of contained liquids: a personal odyssey. Appl Mech Rev 56(1):R1–R7

    Google Scholar 

  3. Hughes TJR, Cottrell JA, Bazilevs Y (2005) Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Comput Methods Appl Mech Eng 194(39–41):4135–4195

    Article  MathSciNet  Google Scholar 

  4. Amsden AA, Harlow FH (1970) A simplified MAC technique for incompressible fluid flow calculations. J Comput Phys 6(2):322–325

    Article  Google Scholar 

  5. Hirt CW, Nichols BD (1981) Volume of fluid (VOF) method for the dynamics of free boundaries. J Comput Phys 39(1):201–225

    Article  Google Scholar 

  6. Osher S (2003) Level Set Methods and Dynamic Implicit Surfaces. Springer, Heidelberg

    Google Scholar 

  7. Akkerman I, Bazilevs Y, Kees CE et al (2011) Isogeometric analysis of free-surface flow. J Comput Phys 230(11):4137–4152

    Article  MathSciNet  Google Scholar 

  8. Yan J, Lin S, Bazilevs Y et al (2018) Isogeometric analysis of multi-phase flows with surface tension and with application to dynamics of rising bubbles. Comput Fluids 2018:S0045793018302135

    Google Scholar 

  9. Carrica PM, Wilson RV, Stern F (2010) An unsteady single-phase level set method for viscous free surface flows. Int J Numer Meth Fluids 53(2):229–256

    Article  MathSciNet  Google Scholar 

  10. Zienkiewicz OC, Codina R (1995) A general algorithm for compressible and incompressible flow, Part I : the split, characteristic-based scheme. 20(8–9):869–885

    Google Scholar 

  11. Yong T, Baozeng Y (2017) Simulation of large-amplitude three-dimensional liquid sloshing in spherical tanks. AIAA J 55(6):1–8

    Article  Google Scholar 

  12. Wang YT, Zhang JZ (2011) An improved ALE and CBS-based finite element algorithm for analyzing flows around forced oscillating bodies. Elsevier Science Publishers B. V..

    Google Scholar 

  13. Chen S, Merriman B, Osher S et al (1997) A simple level set method for solving stefan problems. J Comput Phys 135(1):8–29

    Article  MathSciNet  Google Scholar 

  14. Enright D, Fedkiw R, Ferziger J et al (2002) A hybrid particle level set method for improved interface capturing. J Comput Phys 183(1):83–116

    Article  MathSciNet  Google Scholar 

  15. Sussman M (1994) A level set approach for computing solutions to incompressible two-phase flow. J Comp Phys 114:146–159

    Article  Google Scholar 

  16. Muto K, Kasai Y, Nakahara M (2002) Experimental tests for suppression effects of water restraint plates on sloshing of a water pool. J Pressure Vessel Technol 110(3):240–246

    Article  Google Scholar 

  17. Liu Z, Huang Y (1994) A new method for large amplitude sloshing problems. J Sound Vib 175(2):185–195

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Aerospace Engineering, Beijing Institute of Technology, Beijing, 100081, China

    Jiarui Yu, Baozeng Yue & Bole Ma

Authors
  1. Jiarui Yu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Baozeng Yue
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Bole Ma
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jiarui Yu .

Editor information

Editors and Affiliations

  1. Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong

    Xingjian Jing

  2. Shanghai University, Shanghai, Shanghai, China

    Hu Ding

  3. Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, China

    Jiqiang Wang

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Yu, J., Yue, B., Ma, B. (2022). Isogeometric Analysis for Two-Phase Liquid Sloshing. In: Jing, X., Ding, H., Wang, J. (eds) Advances in Applied Nonlinear Dynamics, Vibration and Control -2021. ICANDVC 2021. Lecture Notes in Electrical Engineering, vol 799. Springer, Singapore. https://doi.org/10.1007/978-981-16-5912-6_53

Download citation

  • DOI: https://doi.org/10.1007/978-981-16-5912-6_53

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-5911-9

  • Online ISBN: 978-981-16-5912-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation