Analysis of Navier-Stokes Equation from the Viewpoint of Advection Diffusion
- 10.2991/jrnal.2015.1.4.5How to use a DOI?
- approximate analysis method, Navier-Stokes Equation (NSE), Advection Diffusion Equation (ADE)
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.
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- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
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 -