Abstract
In previous chapters, we have discussed the equations governing the structure of a steady flow and the evolution of an unsteady flow, and derived selected solutions for elementary flow configurations by analytical and simple numerical methods. To generate solutions for arbitrary flow conditions and boundary geometries, it is necessary to develop general-purpose numerical methods. In this chapter, we discuss the choice of governing equations whose solution is to be found, and the implementation of finite-difference methods for incompressible Newtonian flow. The discourse will reveal a set of conceptual and practical challenges encountered in the broader context of computational fluid dynamics (CFD).
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Pozrikidis, C. (2017). Finite-difference methods. In: Fluid Dynamics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-7991-9_8
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DOI: https://doi.org/10.1007/978-1-4899-7991-9_8
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Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-7990-2
Online ISBN: 978-1-4899-7991-9
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