Numerical Model of Dynamics

  • Yulin WuEmail author
  • Shengcai Li
  • Shuhong Liu
  • Hua-Shu Dou
  • Zhongdong Qian
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 11)


A numerical model describes a scientific system in language of numbers. There are two kinds of models in mathematics: the lumped parameter model and the distributed parameter model. If the model is homogeneous, or represents a consistent state throughout the entire system, the parameters are distributed, and the model may be referred to as a continuum. If the model is heterogeneous, or represents a varying state throughout the system, then the parameters are lumped. Distributed parameters are typically represented with partial differential equations.


  1. Funnell, R. (2008). Finite element method.
  2. Genta, G. (2009). Vibration dynamics and control (pp. 341–361, 363–400). Berlin: Springer.Google Scholar
  3. Grandin, H. (1986). Fundamentals of the finite element method. New York: Macmillan.Google Scholar
  4. Löhner, R., Cebral, G.R., & Yang, C. (2006). Extending the range and applicability of the loose coupling approach for FSI simulations. Fluid-structure interaction, modeling, simulation, optimization (pp. 82–100). Berlin: Springer.Google Scholar
  5. Reddy, J. N. (2002). Energy principles and variational methods in applied mechanics. 2nd ed., New York: John Wiley.Google Scholar
  6. Rodney, J. B. (1982). Exactly solved models in statistical mechanics. London: Academic Press. Google Scholar
  7. Schäfer, M., Heck, M., & Yigit, S. (2006). An implicit partitioned method for the numerical simulation of fluid-structure interaction. Fluid-structure interaction, modeling, simulation, optimization (pp. 171–194). Berlin: Springer.Google Scholar
  8. Scholz, W. (2003). Scalable parallel micromagnetic solvers for magnetic nanostructures. Doctor dissertation, Technical University of Vienna.
  9. Tezduyar, T.E., Sathe, S., Stein, K., & Aureli, L. (2006). Modeling of fluid-structure interactions with the space-time techniques. Fluid-structure interaction, modeling, simulation, optimization (pp. 50–81). Berlin: Springer.Google Scholar
  10. Wall, W.A., Gerstenberger, A., & Gamnitzer, P. (2006). Large deformation fluid-structure interaction—Advances in ALE methods and new fixed grid approaches. Fluid-structure interaction, modeling, simulation, optimization (pp. 195–233). Berlin: Springer.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  • Yulin Wu
    • 1
    Email author
  • Shengcai Li
    • 2
  • Shuhong Liu
    • 3
  • Hua-Shu Dou
    • 4
  • Zhongdong Qian
    • 5
  1. 1.Tsinghua UniversityBeijingPeople’s Republic of China
  2. 2.School of EngineeringUniversity of WarwickCoventryUK
  3. 3.Department of Thermal Engineering, State Key Laboratory of Hydroscience and EngineeringTsinghua UniversityBeijingPeople’s Republic of China
  4. 4.Faculty of Mechanical Engineering and AuZhejiang Sci-Tech UniversityHangzhouPeople’s Republic of China
  5. 5.Department of Hydraulic Engineering, School of Water Resources and Hydropower EngineeringWuhan UniversityWuhanPeople’s Republic of China

Personalised recommendations