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Masatoshi IKEUCHI, "Transient Solution of Convective Diffusion Problem by Boundary Element Method" in IEICE TRANSACTIONS on transactions,
vol. E68-E, no. 7, pp. 435-440, July 1985, doi: .
Abstract: Transient solution of convective diffusion equation in s dimension (s1, 2 or 3) is formulated by boundary integral equation. Fundamental solution to the convective diffusion operator is also presented in uniform velocity field. In particular, the one-dimensional case (s1) is treated because a discussion on the stability of transient solution is very important in practical applications. For discretization of the integral equation, constant and linear elements in time and constant elements in space (internal cells) are employed. A simple time-marching scheme is also developed. In numerical experiments, three model problems are considered. As the result, it is found out that the transient solution is stably calculated in time and space, and that its stability is independent upon the usual criteria that the Courant number C(vΔt/Δx)1 and the diffusion number D(kΔt/Δx2)1/2. In addition, a comparison with the exact solution is given, and the accuracy is discussed.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e68-e_7_435/_p
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@ARTICLE{e68-e_7_435,
author={Masatoshi IKEUCHI, },
journal={IEICE TRANSACTIONS on transactions},
title={Transient Solution of Convective Diffusion Problem by Boundary Element Method},
year={1985},
volume={E68-E},
number={7},
pages={435-440},
abstract={Transient solution of convective diffusion equation in s dimension (s1, 2 or 3) is formulated by boundary integral equation. Fundamental solution to the convective diffusion operator is also presented in uniform velocity field. In particular, the one-dimensional case (s1) is treated because a discussion on the stability of transient solution is very important in practical applications. For discretization of the integral equation, constant and linear elements in time and constant elements in space (internal cells) are employed. A simple time-marching scheme is also developed. In numerical experiments, three model problems are considered. As the result, it is found out that the transient solution is stably calculated in time and space, and that its stability is independent upon the usual criteria that the Courant number C(vΔt/Δx)1 and the diffusion number D(kΔt/Δx2)1/2. In addition, a comparison with the exact solution is given, and the accuracy is discussed.},
keywords={},
doi={},
ISSN={},
month={July},}
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TY - JOUR
TI - Transient Solution of Convective Diffusion Problem by Boundary Element Method
T2 - IEICE TRANSACTIONS on transactions
SP - 435
EP - 440
AU - Masatoshi IKEUCHI
PY - 1985
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E68-E
IS - 7
JA - IEICE TRANSACTIONS on transactions
Y1 - July 1985
AB - Transient solution of convective diffusion equation in s dimension (s1, 2 or 3) is formulated by boundary integral equation. Fundamental solution to the convective diffusion operator is also presented in uniform velocity field. In particular, the one-dimensional case (s1) is treated because a discussion on the stability of transient solution is very important in practical applications. For discretization of the integral equation, constant and linear elements in time and constant elements in space (internal cells) are employed. A simple time-marching scheme is also developed. In numerical experiments, three model problems are considered. As the result, it is found out that the transient solution is stably calculated in time and space, and that its stability is independent upon the usual criteria that the Courant number C(vΔt/Δx)1 and the diffusion number D(kΔt/Δx2)1/2. In addition, a comparison with the exact solution is given, and the accuracy is discussed.
ER -
English
