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Titlebook: Computational Techniques for Fluid Dynamics 1; Fundamental and Gene Clive A. J. Fletcher Textbook 1998Latest edition Springer-Verlag Berlin

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https://doi.org/10.1007/978-1-4842-2331-4blem the governing equations (Chap. 11) and the appropriate boundary conditions (Chaps. 11 and 2) will be known. Computational techniques are used to obtain an approximate solution of the governing equations and boundary conditions.
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https://doi.org/10.1007/978-1-4842-4182-0or heat conduction effects. Consequently computational techniques that are effective for the diffusion equation will provide guidance in choosing appropriate algorithms for viscous fluid flow (Chaps. 15–18).
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https://doi.org/10.1007/978-1-4842-2331-4In this chapter, procedures will be developed for classifying partial differential equations as elliptic, parabolic or hyperbolic. The different types of partial differential equations will be examined from both a mathematical and a physical viewpoint to indicate their key features and the flow categories for which they occur.
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https://doi.org/10.1007/978-1-4842-4182-0Many of the examples considered in Chaps. 3–5 have included time as an independent variable and the construction of the algorithms has taken this into account. However many problems in fluid dynamics are inherently steady, and the governing equations are often elliptic in character (Sect. 2.4).
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https://doi.org/10.1007/978-1-4842-4182-0A broad conclusion from Chap. 7 is that implicit schemes are more effective than explicit schemes for problems with significant dissipation, as exemplified by the one-dimensional diffusion equation.
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Partial Differential Equations,In this chapter, procedures will be developed for classifying partial differential equations as elliptic, parabolic or hyperbolic. The different types of partial differential equations will be examined from both a mathematical and a physical viewpoint to indicate their key features and the flow categories for which they occur.
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Steady Problems,Many of the examples considered in Chaps. 3–5 have included time as an independent variable and the construction of the algorithms has taken this into account. However many problems in fluid dynamics are inherently steady, and the governing equations are often elliptic in character (Sect. 2.4).
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