Shock Structure in a Two-phase Isothermal Euler Model
| hal.structure.identifier | Simulation, modeling and analysis of heterogeneous systems [SMASH] | |
| dc.contributor.author | GUILLARD, Hervé | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PERRIER, Vincent | |
| dc.date.accessioned | 2024-04-04T03:06:50Z | |
| dc.date.available | 2024-04-04T03:06:50Z | |
| dc.date.created | 2007-08 | |
| dc.date.issued | 2007 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193374 | |
| dc.description.abstractEn | We have performed a traveling wave analysis of a two phase isothermal Euler model to exhibit the inner structure of shock waves in two-phase flows. In the model studied in this work, the dissipative regularizing term is not of viscous type but instead comes from relaxation phenomena toward equilibrium between the phases. This gives an unusual structure to the diffusion tensor where dissipative terms appear only in the mass conservation equations. We show that this implies that the mass fractions are not constant inside the shock although the Rankine-Hugoniot relations give a zero jump of the mass fraction through the discontinuities. We also show that there exists a critical speed for the traveling waves above which no C 1 solutions exist. Nevertheless for this case, it is possible to construct traveling solutions involving single phase shocks. | |
| dc.language.iso | en | |
| dc.subject.en | Asymptotic analysis | |
| dc.subject.en | Champan-Enskog expansion | |
| dc.subject.en | Rankine-Hugoniot relations | |
| dc.subject.en | chock structure | |
| dc.subject.en | traveling waves | |
| dc.subject.en | compressible two phase flows | |
| dc.title.en | Shock Structure in a Two-phase Isothermal Euler Model | |
| dc.type | Rapport | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| dc.subject.hal | Physique [physics]/Physique mathématique [math-ph] | |
| dc.subject.hal | Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph] | |
| dc.subject.hal | Informatique [cs]/Modélisation et simulation | |
| dc.subject.hal | Informatique [cs]/Analyse numérique [cs.NA] | |
| bordeaux.page | 23 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.type.institution | INRIA | |
| bordeaux.type.report | rr | |
| hal.identifier | inria-00168787 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//inria-00168787v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2007&rft.spage=23&rft.epage=23&rft.au=GUILLARD,%20Herv%C3%A9&PERRIER,%20Vincent&rft.genre=unknown |
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