2023
DOI: 10.1051/m2an/2023090
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Two approaches to compute unsteady compressible two-phase flow models with stiff relaxation terms

Jean-Marc Hérard,
Guillaume Jomée

Abstract: The paper deals with the numerical modeling of two-phase flows while using Baer-Nunziato type models. Focus is given here on the numerical treatment of source terms that involve three (or four) relaxation time scales. A new coupled approach relying on the continuous analysis of the system of ODEs is compared with a more widely used strategy grounded on the fractional step approach. Properties of schemes are given in both cases. Several numerical applications show that the coupled approach should be prefered fo… Show more

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Cited by 1 publication
(5 citation statements)
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References 53 publications
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“…Because of that, the conservation of the sum of the internal energies in (23) gives the temperature at time t n+1 . The complete proof is similar to the one given in [6] for a two-phase flow model. b) The proof of the second property is also an extension of the one given in [6].…”
Section: Numerical Schemesupporting
confidence: 57%
See 4 more Smart Citations
“…Because of that, the conservation of the sum of the internal energies in (23) gives the temperature at time t n+1 . The complete proof is similar to the one given in [6] for a two-phase flow model. b) The proof of the second property is also an extension of the one given in [6].…”
Section: Numerical Schemesupporting
confidence: 57%
“…The complete proof is similar to the one given in [6] for a two-phase flow model. b) The proof of the second property is also an extension of the one given in [6].…”
Section: Numerical Schemesupporting
confidence: 57%
See 3 more Smart Citations