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.
Original language | English (US) |
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Pages (from-to) | 1011-1024 |
Number of pages | 14 |
Journal | Zeitschrift fur Angewandte Mathematik und Physik |
Volume | 57 |
Issue number | 6 |
DOIs | |
State | Published - Nov 1 2006 |
Keywords
- Convergence acceleration
- Discrete velocity method (DVM)
- Poiseuille flow
ASJC Scopus subject areas
- Mathematics(all)
- Physics and Astronomy(all)
- Applied Mathematics