Eulerian and Lagrangian Descriptions

Sohrob Mottaghi, Rene Gabbai, Haym Benaroya

Research output: Chapter in Book/Report/Conference proceedingChapter


This chapter derives the relations between Eulerian and Lagrangian descriptions of displacement and velocity fields, relations between the time derivatives of system properties, variations, and introduces Jourdain’s variational principle. Jourdain’s principle is then applied to viscous incompressible fluids, and the derivation of the energy rate equation. These equations will be utilized in the subsequent chapter for the derivation of the flow-oscillator model for vortex-induced vibration.

Original languageEnglish (US)
Title of host publicationSolid Mechanics and its Applications
PublisherSpringer Verlag
Number of pages45
Publication statusPublished - Jan 1 2020

Publication series

NameSolid Mechanics and its Applications
ISSN (Print)0925-0042
ISSN (Electronic)2214-7764


All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Automotive Engineering
  • Aerospace Engineering
  • Acoustics and Ultrasonics
  • Mechanical Engineering

Cite this

Mottaghi, S., Gabbai, R., & Benaroya, H. (2020). Eulerian and Lagrangian Descriptions. In Solid Mechanics and its Applications (pp. 143-187). (Solid Mechanics and its Applications; Vol. 260). Springer Verlag.