A Transformed Boundary Element Method for Steady-State Convective Diffusion Problem

Masatoshi IKEUCHI

A Transformed Boundary Element Method for Steady-State Convective Diffusion Problem

Masatoshi IKEUCHI

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A boundary element solution for the s-dimensional convective diffusion equation in a steady state is formulated by means of transforming its governing operator into symmetric or selfadjoint operator. The traveling material under consideration is assumed to be orthotropic. The velocity field is also assumed to be uniform or variable in spaces. Simple and two-dimensional examples (s2) are treated in numerical experiments in order to demonstrate the validity of the present formulation. A comparison with standard and upwind finite element solutions is also given. It is shown that the boundary element solution is stable and accurate with respect to the Peclet number and the ratio of orthotropy. Moreover, an example of the variable velocity field is treated using the boundary element model without internal cells. It is finally proved that the present method is an improvement over the usual boundary element method.

Publication: IEICE TRANSACTIONS on transactions Vol.E68-E No.9 pp.602-608

Publication Date: 1985/09/25

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Category: Mathematics

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Masatoshi IKEUCHI

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Masatoshi IKEUCHI, "A Transformed Boundary Element Method for Steady-State Convective Diffusion Problem" in IEICE TRANSACTIONS on transactions, vol. E68-E, no. 9, pp. 602-608, September 1985, doi: .
Abstract: A boundary element solution for the s-dimensional convective diffusion equation in a steady state is formulated by means of transforming its governing operator into symmetric or selfadjoint operator. The traveling material under consideration is assumed to be orthotropic. The velocity field is also assumed to be uniform or variable in spaces. Simple and two-dimensional examples (s2) are treated in numerical experiments in order to demonstrate the validity of the present formulation. A comparison with standard and upwind finite element solutions is also given. It is shown that the boundary element solution is stable and accurate with respect to the Peclet number and the ratio of orthotropy. Moreover, an example of the variable velocity field is treated using the boundary element model without internal cells. It is finally proved that the present method is an improvement over the usual boundary element method.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e68-e_9_602/_p

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@ARTICLE{e68-e_9_602,
author={Masatoshi IKEUCHI, },
journal={IEICE TRANSACTIONS on transactions},
title={A Transformed Boundary Element Method for Steady-State Convective Diffusion Problem},
year={1985},
volume={E68-E},
number={9},
pages={602-608},
abstract={A boundary element solution for the s-dimensional convective diffusion equation in a steady state is formulated by means of transforming its governing operator into symmetric or selfadjoint operator. The traveling material under consideration is assumed to be orthotropic. The velocity field is also assumed to be uniform or variable in spaces. Simple and two-dimensional examples (s2) are treated in numerical experiments in order to demonstrate the validity of the present formulation. A comparison with standard and upwind finite element solutions is also given. It is shown that the boundary element solution is stable and accurate with respect to the Peclet number and the ratio of orthotropy. Moreover, an example of the variable velocity field is treated using the boundary element model without internal cells. It is finally proved that the present method is an improvement over the usual boundary element method.},
keywords={},
doi={},
ISSN={},
month={September},}

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TY - JOUR
TI - A Transformed Boundary Element Method for Steady-State Convective Diffusion Problem
T2 - IEICE TRANSACTIONS on transactions
SP - 602
EP - 608
AU - Masatoshi IKEUCHI
PY - 1985
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E68-E
IS - 9
JA - IEICE TRANSACTIONS on transactions
Y1 - September 1985
AB - A boundary element solution for the s-dimensional convective diffusion equation in a steady state is formulated by means of transforming its governing operator into symmetric or selfadjoint operator. The traveling material under consideration is assumed to be orthotropic. The velocity field is also assumed to be uniform or variable in spaces. Simple and two-dimensional examples (s2) are treated in numerical experiments in order to demonstrate the validity of the present formulation. A comparison with standard and upwind finite element solutions is also given. It is shown that the boundary element solution is stable and accurate with respect to the Peclet number and the ratio of orthotropy. Moreover, an example of the variable velocity field is treated using the boundary element model without internal cells. It is finally proved that the present method is an improvement over the usual boundary element method.
ER -