Extension of a Method of Solution for Poisson’s Equation

[+] Author and Article Information
M. H. Cobble, W. F. Ames

Department of Mechanical Engineering, University of Delaware, Newark, Del.

J. Appl. Mech 30(3), 415-418 (Sep 01, 1963) (4 pages) doi:10.1115/1.3636571 History: Received September 10, 1962; Online September 16, 2011


A classical substitution procedure for solving Poisson’s equation ∇2 φ = −K is extended by application of certain coordinate transformations suggested by the functional form of K. The method is applied to the determination of fluid-velocity fields in two curvilinear geometries.

Copyright © 1963 by ASME
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