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Numerical outflow boundary conditions for the Navier-Stokes equations (新時代の科学技術を牽引する数値解析学 : RIMS研究集会報告集)
| Content Provider | Semantic Scholar |
|---|---|
| Author | Saito, Norikazu Zhou, Guanyu |
| Copyright Year | 2015 |
| Abstract | In numerical simulation of real-world flow problems, we often encounter some issues concerning artificial boundary conditions. A typical and important example is the blood flow problem in the large arteries, where the blood is assumed to be a viscous incompressible fluid (cf. [7], [17]). The blood vessel is modeled by a branched pipe as illustrated, for example, by Fig. 1. We are able to give a velocity profile at the inflow boundary $S$ and the flow is supposed to be a perfect non-slip on the wall $C$ . Then, the blood flow simulation is highly dependent on the choice of artificial boundary conditions posed on the outflow boundary $\Gamma.$ In order to state the problem more specifically, let $\Omega\subset \mathbb{R}^{d},$ $d=2$ , 3, be a bounded domain and let the boundary $\partial\Omega$ be composed of three parts $S,$ $C$ and $\Gamma$ . Those $S,$ $C$ and $\Gamma$ are assumed to be smooth surfaces, although the whole boundary $\partial\Omega$ itself is not smooth. Then, for $T>0$ , we consider the Navier-Stokes equations |
| Starting Page | 91 |
| Ending Page | 103 |
| Page Count | 13 |
| File Format | PDF HTM / HTML |
| Volume Number | 1957 |
| Alternate Webpage(s) | http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1957-09.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
