Abstract
Parabolic PDEs represent diffusion phenomena, such as heat conduction in a slab aligned with the x-axis (2.8) and viscous effects spreading away from a wall. The numerical methods will be presented for the flow of an incompressible viscous fluid between two plates, distant h apart. Initially the fluid has a solid body motion with the plates translating parallel to the x-axis with velocity U. At time t = 0, the lower plate located at y = 0 is stopped, while the other plate keeps moving with velocity U.
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© 2002 Springer-Verlag Berlin Heidelberg
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Chattot, JJ. (2002). Integration of a Linear Parabolic Equation. In: Computational Aerodynamics and Fluid Dynamics. Scientific Computation. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05064-4_6
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DOI: https://doi.org/10.1007/978-3-662-05064-4_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07798-2
Online ISBN: 978-3-662-05064-4
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