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

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

doi:10.1115/PVP2016-63539

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

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

1 Citation (Scopus)

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 language	English
Title of host publication	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
Place of Publication	s.l.
Publisher	American Society of Mechanical Engineers
ISBN (Electronic)	978-0-7918-5041-1
DOIs	https://doi.org/10.1115/PVP2016-63539
Publication status	Published - 2016
Event	ASME 2016 Pressure Vessels and Piping Conference (PVP 2016) - Vancouver, Canada Duration: 17 Jul 2016 → 21 Jul 2016

Conference

Conference	ASME 2016 Pressure Vessels and Piping Conference (PVP 2016)
Abbreviated title	PVP 2016
Country/Territory	Canada
City	Vancouver
Period	17/07/16 → 21/07/16

Keywords

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

Access to Document

10.1115/PVP2016-63539

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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 Article V005T09A004 American Society of Mechanical Engineers. https://doi.org/10.1115/PVP2016-63539

Ten Eikelder, M.F.P. ; Daude, F. ; Koren, B. / A Lagrange-projection-like numerical scheme for mixed acoustic-convective two-phase flows. 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. s.l. : American Society of Mechanical Engineers, 2016.

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title = "A Lagrange-projection-like numerical scheme for mixed acoustic-convective two-phase flows",

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.",

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booktitle = "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",

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Ten Eikelder, MFP, 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, s.l., ASME 2016 Pressure Vessels and Piping Conference (PVP 2016), Vancouver, Canada, 17/07/16. https://doi.org/10.1115/PVP2016-63539

A Lagrange-projection-like numerical scheme for mixed acoustic-convective two-phase flows. / Ten Eikelder, M.F.P.; Daude, F.; Koren, B.
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. s.l.: American Society of Mechanical Engineers, 2016. V005T09A004.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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T1 - A Lagrange-projection-like numerical scheme for mixed acoustic-convective two-phase flows

AU - Ten Eikelder, M.F.P.

AU - Daude, F.

AU - Koren, B.

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Five-equation model

KW - Lagrange-projection-scheme

KW - Shock-tube problems

KW - Two-phase flow

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DO - 10.1115/PVP2016-63539

M3 - Conference contribution

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BT - 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

PB - American Society of Mechanical Engineers

CY - s.l.

T2 - ASME 2016 Pressure Vessels and Piping Conference (PVP 2016)

Y2 - 17 July 2016 through 21 July 2016

ER -

Ten Eikelder MFP, Daude F, Koren B. 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. s.l.: American Society of Mechanical Engineers. 2016. V005T09A004 doi: 10.1115/PVP2016-63539

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

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Keywords

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