The Solution and Numerical Simulation of Several Three Dimensional Convection Diffusion Equations

DOI

10.2991/icemaess-17.2017.126How to use a DOI?

Keywords

three dimensional convection diffusion equation; fourier transform; numerical solution of inte-gral; The simulation with MATLAB

Abstract

In this paper, the instantaneous point source diffusion model, the continuous time source diffusion time-varying model and the continuous time arbitrary shape source diffusion time-varying model in convection-diffusion equation are studied. First, by establishing the appropriate model assumptions, under certain initial conditions, the analytical solution of instantaneous point source diffusion model is obtained by Fourier transform. Using this result can get the solution of the source diffusion model at the continuous time point by integrating the result in time. The volume of the source shape and the integral of the time are obtained, and the solution of the diffusion model with arbitrary shape in continuous time is obtained, a series of graphs (chamfer, gradient, contour, etc.) describing the diffusion characteristics were drawn; and the solution images of each model were analyzed and compared.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Zhengwei Dong
AU  - Ji,ang Zhang
PY  - 2017/12
DA  - 2017/12
TI  - The Solution and Numerical Simulation of Several Three Dimensional Convection Diffusion Equations
BT  - Proceedings of the 4th International Conference on Education, Management, Arts, Economics and Social Science (ICEMAESS 2017)
PB  - Atlantis Press
SP  - 580
EP  - 585
SN  - 2352-5398
UR  - https://doi.org/10.2991/icemaess-17.2017.126
DO  - 10.2991/icemaess-17.2017.126
ID  - Dong2017/12
ER  -