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Review of Vector Calculus

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The Finite Volume Method in Computational Fluid Dynamics

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 113))

Abstract

This chapter sets the ground for the derivation of the conservation equations by providing a brief review of the continuum mechanics tools needed for that purpose while establishing some of the mathematical notations and procedures that will be used throughout the book. The review is by no mean comprehensive and assumes a basic knowledge of the fundamentals of continuum mechanics. A short introduction of the elements of linear algebra including vectors, matrices, tensors, and their practices is given. The chapter ends with an examination of the fundamental theorems of vector calculus, which constitute the elementary building blocks needed for manipulating and solving these conservation equations either analytically or numerically using computational fluid dynamics.

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Author information

Authors and Affiliations

  1. Mechanical Engineering, American University of Beirut, Beirut, Lebanon

    F. Moukalled

  2. Engineering and Architecture, Lucerne University of Applied Science and Arts, Horw, Switzerland

    L. Mangani

  3. Department of Mechanical Engineering, American University of Beirut, Beirut, Lebanon

    M. Darwish

Authors
  1. F. Moukalled
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  2. L. Mangani
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  3. M. Darwish
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Corresponding author

Correspondence to F. Moukalled .

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Moukalled, F., Mangani, L., Darwish, M. (2016). Review of Vector Calculus. In: The Finite Volume Method in Computational Fluid Dynamics. Fluid Mechanics and Its Applications, vol 113. Springer, Cham. https://doi.org/10.1007/978-3-319-16874-6_2

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  • DOI: https://doi.org/10.1007/978-3-319-16874-6_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-16873-9

  • Online ISBN: 978-3-319-16874-6

  • eBook Packages: EngineeringEngineering (R0)

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