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Numerical Simulation of Fluid Flows

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Computational Fluid Dynamics

Abstract

Numerical simulations, along with experiments and theoretical analysis, are often used as a tool to support research and development in science and engineering. The use of simulations has been popularized by the development and wide-spread availability of computers. Since numerical computations are advantageous to experiments from the aspects of speed, safety, and cost in many cases, their uses have been widely accepted in the industry. Simulations have also become a valuable tool in fundamental research due to its ability to analyze complex phenomena that may be difficult to study with experimental measurements or theoretical analysis. Reflecting upon these trends, the adjective computational is now widely used to describe subfields that utilize simulation in various disciplines, such as computational physics and computational chemistry.

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Notes

  1. 1.

    Advective form is often called convective form . We however use the term advective form to be consistent with the use of the term advection instead of convection (= advection + diffusion) for preciseness.

  2. 2.

    For incompressible flow, the Mach number \(M = u/a\) (the ratio of characteristic velocity u and sonic speed a) is zero or very small. That means that the acoustic wave propagation is very fast compared to the hydrodynamic wave propagation. In the limit of \(M \rightarrow 0\), the acoustic propagation is considered to take place instantaneously over the whole domain, which leads to the appearance of ellipticity in the governing equations.

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Authors and Affiliations

  1. Osaka University, Suita, Osaka, Japan

    Takeo Kajishima

  2. Florida State University, Tallahassee, FL, USA

    Kunihiko Taira

Authors
  1. Takeo Kajishima
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  2. Kunihiko Taira
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Correspondence to Takeo Kajishima or Kunihiko Taira .

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Kajishima, T., Taira, K. (2017). Numerical Simulation of Fluid Flows. In: Computational Fluid Dynamics. Springer, Cham. https://doi.org/10.1007/978-3-319-45304-0_1

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  • DOI: https://doi.org/10.1007/978-3-319-45304-0_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-45302-6

  • Online ISBN: 978-3-319-45304-0

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