The Solution and Numerical Simulation of Several Three Dimensional Convection Diffusion Equations
Zhengwei Dong, Ji,ang Zhang
Available Online December 2017.
- https://doi.org/10.2991/icemaess-17.2017.126How to use a DOI?
- three dimensional convection diffusion equation; fourier transform; numerical solution of inte-gral; The simulation with MATLAB
- 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.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
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 - https://doi.org/10.2991/icemaess-17.2017.126 ID - Dong2017/12 ER -