A computational method for solving the branched channel flow problem
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摘要
In the present work, a method is suggested to find the solution of Poisson's equation with Dirichlet boundary conditions in polar coordinates. This method is expressed over the unit circle and consequently over the upper-half plane from which geometry we find the solution to Poisson's equation over the branched channel domain. The results seems very reasonable and the derived transformation from unit circle to Y-shape channel is accurate. Poisson's equation can be solved similarly over much other geometry. The solution looks very encouraging and resembles that is experimentally known.
论文关键词:Poisson's equation,Schwarz–Christoffel transformation,Spectral solution,Y-shape channel
论文评审过程:Available online 3 February 2004.
论文官网地址:https://doi.org/10.1016/j.amc.2003.11.032