Authors
Hiroki Sakamoto, Tetsuo Hattori, Akiomi Tada, Vanhoa Nguyen, Hiromichi Kawano
Corresponding Author
Hiroki Sakamoto
Available Online 2 March 2015.
DOI
https://doi.org/10.2991/jrnal.2015.1.4.5How to use a DOI?
Keywords
approximate analysis method, Navier-Stokes Equation (NSE), Advection Diffusion Equation (ADE)
Abstract
We propose a highly accurate approximate solution for Navier-Stokes Equation (NSE) based on the similarity between NSE and Advection Diffusion Equation (ADE). First, we present the analytical exact solution of ADE using a Green function (integral kernel) that is obtained from the diffusion equation over uniform flow field (or velocity field) in three dimensional (3D) boundless region under arbitrary initial condition. Next, from the explicit similarity between NSE and ADE, we derive the approximate solution of NSE using the analytical solution of ADE.

Copyright
© 2013, the Authors. Published by ALife Robotics Corp. Ltd.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).