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) |
|---|---|
| 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 2006 |
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Keywords
- Convergence acceleration
- Discrete velocity method (DVM)
- Poiseuille flow
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
Cite this
Mining the discrete velocity method for high quality solutions for one-dimensional Poiseuille flow. / Ganapol, Barry D.
In: Zeitschrift fur Angewandte Mathematik und Physik, Vol. 57, No. 6, 11.2006, p. 1011-1024.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Mining the discrete velocity method for high quality solutions for one-dimensional Poiseuille flow
AU - Ganapol, Barry D
PY - 2006/11
Y1 - 2006/11
N2 - 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.
AB - 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.
KW - Convergence acceleration
KW - Discrete velocity method (DVM)
KW - Poiseuille flow
UR - http://www.scopus.com/inward/record.url?scp=33750486815&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33750486815&partnerID=8YFLogxK
U2 - 10.1007/s00033-006-0069-2
DO - 10.1007/s00033-006-0069-2
M3 - Article
AN - SCOPUS:33750486815
VL - 57
SP - 1011
EP - 1024
JO - Zeitschrift fur Angewandte Mathematik und Physik
JF - Zeitschrift fur Angewandte Mathematik und Physik
SN - 0044-2275
IS - 6
ER -