A Lagrange-projection-like numerical scheme for mixed acoustic-convective two-phase flows

M.F.P. Ten Eikelder, F. Daude, B. Koren

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Abstract

The computation of compressible two-phase flows with the Kapila five-equation model is studied. In the model (fast) acoustic waves and (slow) transport waves occur. In this paper a splitting-based Lagrange-projection-like numerical scheme for the Kapila five-equation model is introduced to decouple these physical phenomena. This approach is based on a Lagrange-projection method for the gas dynamics equations. The decoupling leads to two submodels which are alternately solved to approximate the solution of the full model. The acoustic submodel is cast into an almost conservative form and is solved using an HLLC-type Riemann solver. A classical upwind scheme is used for the transport part. The method allows for a general equation of state. Numerical computations are performed for two-phase shock tube problems, including a mixture problem. The results are in good agreement with reference results.

Original languageEnglish
Title of host publicationHigh-Pressure Technology; Rudy Scavuzzo Student Paper Symposium and 24th Annual Student Paper Competition; ASME Nondestructive Evaluation, Diagnosis and Prognosis Division (NDPD); Electric Power Research Institute (EPRI) Creep Fatigue Workshop, 17-21 July 2016, Vancouver, British Columbia
Place of Publications.l.
PublisherAmerican Society of Mechanical Engineers
ISBN (Electronic) 978-0-7918-5041-1
DOIs
Publication statusPublished - 2016
EventASME 2016 Pressure Vessels and Piping Conference (PVP 2016) - Vancouver, Canada
Duration: 17 Jul 201621 Jul 2016

Conference

ConferenceASME 2016 Pressure Vessels and Piping Conference (PVP 2016)
Abbreviated titlePVP 2016
CountryCanada
CityVancouver
Period17/07/1621/07/16

Keywords

  • Five-equation model
  • Lagrange-projection-scheme
  • Shock-tube problems
  • Two-phase flow

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    Ten Eikelder, M. F. P., Daude, F., & Koren, B. (2016). A Lagrange-projection-like numerical scheme for mixed acoustic-convective two-phase flows. In High-Pressure Technology; Rudy Scavuzzo Student Paper Symposium and 24th Annual Student Paper Competition; ASME Nondestructive Evaluation, Diagnosis and Prognosis Division (NDPD); Electric Power Research Institute (EPRI) Creep Fatigue Workshop, 17-21 July 2016, Vancouver, British Columbia [V005T09A004] American Society of Mechanical Engineers. https://doi.org/10.1115/PVP2016-63539