Mixed Boundary-Element Formulation by the Method of Sub-Regions Applied to Three-Dimensional Convective Diffusion Problems

Yasuhiro TANAKA; Toshihisa HONMA; Ikuo KAJI

Mixed Boundary-Element Formulation by the Method of Sub-Regions Applied to Three-Dimensional Convective Diffusion Problems

Yasuhiro TANAKA, Toshihisa HONMA, Ikuo KAJI

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We have presented a formulation of convective diffusion equations based on the method of sub-regions and the boundary element method, especially in three dimensions, in order to analyze very long and narrow convection-diffusion fields which we frequently encounter. In this formulation, we have introduced mixed-type boundary elements, which have more advantages in boundary element computation, and the weighted conservation law of mass in each sub-boundary model so as to be conservative in itself. In addition we have proposed a coupling technique at interface boundaries in order to equalize the number of equations to that of interface unknowns. As a result, it is found that the present method will give more accurate and stable solutions and also have more merits even on the basis of the method of sub-regions, and so is suitable and applicable particularly to a three-dimensional problem. The present formulation for mixed elements is also usable not only to convective diffusion problems, but also to Laplace and Helmholtz-type equations in steady and unsteady state.

Publication: IEICE TRANSACTIONS on transactions Vol.E69-E No.3 pp.200-209

Publication Date: 1986/03/25

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Type of Manuscript: PAPER

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Yasuhiro TANAKA
Toshihisa HONMA
Ikuo KAJI

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Yasuhiro TANAKA, Toshihisa HONMA, Ikuo KAJI, "Mixed Boundary-Element Formulation by the Method of Sub-Regions Applied to Three-Dimensional Convective Diffusion Problems" in IEICE TRANSACTIONS on transactions, vol. E69-E, no. 3, pp. 200-209, March 1986, doi: .
Abstract: We have presented a formulation of convective diffusion equations based on the method of sub-regions and the boundary element method, especially in three dimensions, in order to analyze very long and narrow convection-diffusion fields which we frequently encounter. In this formulation, we have introduced mixed-type boundary elements, which have more advantages in boundary element computation, and the weighted conservation law of mass in each sub-boundary model so as to be conservative in itself. In addition we have proposed a coupling technique at interface boundaries in order to equalize the number of equations to that of interface unknowns. As a result, it is found that the present method will give more accurate and stable solutions and also have more merits even on the basis of the method of sub-regions, and so is suitable and applicable particularly to a three-dimensional problem. The present formulation for mixed elements is also usable not only to convective diffusion problems, but also to Laplace and Helmholtz-type equations in steady and unsteady state.
URL: https://globals.ieice.org/en_transactions/transactions/10.1587/e69-e_3_200/_p

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@ARTICLE{e69-e_3_200,
author={Yasuhiro TANAKA, Toshihisa HONMA, Ikuo KAJI, },
journal={IEICE TRANSACTIONS on transactions},
title={Mixed Boundary-Element Formulation by the Method of Sub-Regions Applied to Three-Dimensional Convective Diffusion Problems},
year={1986},
volume={E69-E},
number={3},
pages={200-209},
abstract={We have presented a formulation of convective diffusion equations based on the method of sub-regions and the boundary element method, especially in three dimensions, in order to analyze very long and narrow convection-diffusion fields which we frequently encounter. In this formulation, we have introduced mixed-type boundary elements, which have more advantages in boundary element computation, and the weighted conservation law of mass in each sub-boundary model so as to be conservative in itself. In addition we have proposed a coupling technique at interface boundaries in order to equalize the number of equations to that of interface unknowns. As a result, it is found that the present method will give more accurate and stable solutions and also have more merits even on the basis of the method of sub-regions, and so is suitable and applicable particularly to a three-dimensional problem. The present formulation for mixed elements is also usable not only to convective diffusion problems, but also to Laplace and Helmholtz-type equations in steady and unsteady state.},
keywords={},
doi={},
ISSN={},
month={March},}

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TY - JOUR
TI - Mixed Boundary-Element Formulation by the Method of Sub-Regions Applied to Three-Dimensional Convective Diffusion Problems
T2 - IEICE TRANSACTIONS on transactions
SP - 200
EP - 209
AU - Yasuhiro TANAKA
AU - Toshihisa HONMA
AU - Ikuo KAJI
PY - 1986
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E69-E
IS - 3
JA - IEICE TRANSACTIONS on transactions
Y1 - March 1986
AB - We have presented a formulation of convective diffusion equations based on the method of sub-regions and the boundary element method, especially in three dimensions, in order to analyze very long and narrow convection-diffusion fields which we frequently encounter. In this formulation, we have introduced mixed-type boundary elements, which have more advantages in boundary element computation, and the weighted conservation law of mass in each sub-boundary model so as to be conservative in itself. In addition we have proposed a coupling technique at interface boundaries in order to equalize the number of equations to that of interface unknowns. As a result, it is found that the present method will give more accurate and stable solutions and also have more merits even on the basis of the method of sub-regions, and so is suitable and applicable particularly to a three-dimensional problem. The present formulation for mixed elements is also usable not only to convective diffusion problems, but also to Laplace and Helmholtz-type equations in steady and unsteady state.
ER -