Mining the discrete velocity method for high quality solutions for one-dimensional Poiseuille flow |
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Authors: | B D Ganapol |
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Institution: | (1) Department of Aerospace and Mechanical Engineering, University of Arizona, Tucson, AZ 85721, USA |
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Abstract: | A fully discretized solution for Poiseuille flow in a one-dimensional channel is presented. Unlike previous semi-analytical
methods, such as the Analytical Discrete-Ordinates (ADO) or the FN methods, which have been specifically designed to avoid
spatial discretization error, no analytical advantage is assumed. Instead, the solution is “mined” in a process where each
discrete approximation is an element in a sequence of solutions whose convergence to the solution is accelerated. This process
leads most straightforwardly to high quality benchmark results for use in algorithm verification with a minimum of theoretical
and numerical complexity. |
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Keywords: | Poiseuille flow discrete velocity method (DVM) convergence acceleration |
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