Analysis of Navier-Stokes Equation from the Viewpoint of Advection Diffusion

DOI

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 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  - JOUR
AU  - Hiroki Sakamoto
AU  - Tetsuo Hattori
AU  - Akiomi Tada
AU  - Vanhoa Nguyen
AU  - Hiromichi Kawano
PY  - 2015
DA  - 2015/03/02
TI  - Analysis of Navier-Stokes Equation from the Viewpoint of Advection Diffusion
JO  - Journal of Robotics, Networking and Artificial Life
SP  - 265
EP  - 269
VL  - 1
IS  - 4
SN  - 2352-6386
UR  - https://doi.org/10.2991/jrnal.2015.1.4.5
DO  - 10.2991/jrnal.2015.1.4.5
ID  - Sakamoto2015
ER  -