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Boundary element analysis of Navier-Stokes equations |
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| Authors: | J Matsunashi N Okamoto T Futagami |
| Affiliation: | a Faculty of Engineering, Kobe University, Japan b Department of Applied Chemistry and Biotechnology, Faculty of Engineering, Okayama University of Science, Japan c Department of Civil Engineering and Urban Design, Faculty of Engineering, Hiroshima Institute of Technology, Miyake, Saeki-cho, Hiroshima-city 731-5193, Japan |
| Abstract: | As arrangements, the fundamental solutions of anisotropic convective diffusion equations of transient incompressible viscous fluid flow and boundary elements analysis of the diffusion equation are presented. Secondly, by considering that convective diffusion equations and Navier-Stokes equations are mathematical formulations of mass and momentum conservation law respectively, and that consequently, both physical contents and equation styles are analogous, boundary integral formulations for Navier-Stokes equations are proposed on the basis of formulation of diffusion equations. |
| Keywords: | Fundamental solution Convective diffusion Navier-Stokes equations Boundary element method (BEM) Three dimensions Transient viscous flow |
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