| dc.contributor.author | Sårheim, Inga Sofie | eng |
| dc.date.accessioned | 2014-09-24T12:07:19Z | |
| dc.date.available | 2014-09-24T12:07:19Z | |
| dc.date.issued | 2014-06-02 | eng |
| dc.date.submitted | 2014-06-02 | eng |
| dc.identifier.uri | https://hdl.handle.net/1956/8554 | |
| dc.description.abstract | In this thesis we have investigated the Brenner-Navier-Stoke equations in one spatial dimension. These are a modified version of the Navier-Stokes equations, where the modification relates to a mass diffusion term. This modification would be significant for flows with high density gradients. In this case we will examine a shock wave problem in Argon. Both the original and the modified Navier-Stokes equations will be used to solve the conservation laws. We will study the effect of both entropy-stable and entropy-conservative schemes, in addition to several several different ways to model the diffusion parameters. The solutions will be analyzed, and compared with experimental results. | en_US |
| dc.format.extent | 520753 bytes | eng |
| dc.format.mimetype | application/pdf | eng |
| dc.language.iso | eng | eng |
| dc.publisher | The University of Bergen | en_US |
| dc.subject | Navier-Stokes equation modified | eng |
| dc.subject | Brenner-Navier-Stokes | eng |
| dc.subject | Mass diffusion | eng |
| dc.subject | Volume diffusivity | eng |
| dc.subject | Entropy-stable | eng |
| dc.subject | Entropy-consistent | eng |
| dc.title | Investigations of the Modified Navier-Stokes Equations in One Dimension | en_US |
| dc.type | Master thesis | |
| dc.rights.holder | Copyright the author. All rights reserved | en_US |
| dc.description.degree | Master i Anvendt og beregningsorientert matematikk | en_US |
| dc.description.localcode | MAMN-MAB | |
| dc.description.localcode | MAB399 | |
| dc.subject.nus | 753109 | eng |
| fs.subjectcode | MAB399 | |
