Cristin-resultat-ID: 1248910
Sist endret: 12. august 2015, 13:36
NVI-rapporteringsår: 2015
Resultat
Vitenskapelig artikkel
2015

The dispersive wave dynamics of a two-phase flow relaxation model

Bidragsytere:
  • Susanne Solem
  • Peder Aursand og
  • Tore Flåtten

Tidsskrift

Mathematical Modelling and Numerical Analysis
ISSN 0764-583X
e-ISSN 1290-3841
NVI-nivå 1

Om resultatet

Vitenskapelig artikkel
Publiseringsår: 2015
Volum: 49
Hefte: 2
Sider: 601 - 619

Importkilder

Scopus-ID: 2-s2.0-84923607435

Beskrivelse Beskrivelse

Tittel

The dispersive wave dynamics of a two-phase flow relaxation model

Sammendrag

We consider a general Euler-type two-phase flow model with relaxation towards phase equilibrium. We provide a complete description of the transition between the wave dynamics of the homogeneous relaxation system and that of the local equilibrium approximation. In particular, we present generally valid analytical expressions for the amplifications and velocities of each Fourier component. This transitional wave dynamics is fully determined by only two dimensionless parameters; a stiffness parameter and the ratio of the sound velocities in the stiff and non-stiff limits. A direct calculation verifies that the stability criterion is precisely the subcharacteristic condition. We further prove a maximum principle in the transitional regime, similar in spirit to the subcharacteristic condition; the transitional wave speeds can never exceed the largest wave speed of the homogeneous relaxation system. Finally, we identify the existence of a critical region of wave numbers where the sonic waves completely disappear from the system. This region corresponds to the casus irreducibilis of the describing cubic polynomial.

Bidragsytere

Susanne Solem

  • Tilknyttet:
    Forfatter
    ved Institutt for matematiske fag ved Norges teknisk-naturvitenskapelige universitet

Peder Kristian Aursand

Bidragsyterens navn vises på dette resultatet som Peder Aursand
  • Tilknyttet:
    Forfatter
    ved Institutt for matematiske fag ved Norges teknisk-naturvitenskapelige universitet

Tore Flåtten

  • Tilknyttet:
    Forfatter
    ved SINTEF Industri ved SINTEF AS
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