Application of an all-speed implicit finite-volume algorithm to Rayleigh-Taylor Instability

Ilyas Yilmaz; Firat Oguz Edis; Hasan Saygin

doi:10.1142/S0219876215500188

Application of an all-speed implicit finite-volume algorithm to Rayleigh-Taylor Instability

Ilyas Yilmaz^*, Firat Oguz Edis, Hasan Saygin

^*Corresponding author for this work

Department of Astronautical Engineering

Istanbul Aydin University

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We present a three-dimensional Direct Numerical Simulation (DNS) study of Rayleigh-Taylor Instability (RTI) using an all-speed, fully implicit, nondissipative and discrete kinetic energy conserving algorithm. In order to perform this study, an in-house, fully parallel, finite-volume, DNS solver, iDNS, which solves the set of time-dependent, compressible Navier-Stokes equations with gravity was developed based on the present algorithm and the PETSc parallel library. It is shown that the algorithm is able to capture the correct physics of the baroclinic instability and turbulent mixing. Compressibility (i.e., high Mach number) has been found more effective on the development of the flow after the diffusive growth phase passed. An increase in bubble growth rate together with a decrease in turbulent mixing was also observed at Mach number 1.1.

Original language	English
Article number	1550018
Journal	International Journal of Computational Methods
Volume	12
Issue number	3
DOIs	https://doi.org/10.1142/S0219876215500188
Publication status	Published - 16 Jun 2015

Bibliographical note

Publisher Copyright:
© 2015 World Scientific Publishing Company.

Funding

Computing resources used in this work were provided by the National Center for High Performance Computing of Turkey (UYBHM) under Grant Number 1001212011 and TUBITAK-ULAKBIM, High Performance and Grid Computing Center (TRUBA Resources).

Funders	Funder number
National Center for High Performance Computing of Turkey
TUBITAK-ULAKBIM
UYBHM	1001212011

Keywords

all-speed
DNS
implicit
parallel
Rayleigh-Taylor instability

Access to Document

10.1142/S0219876215500188

Cite this

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title = "Application of an all-speed implicit finite-volume algorithm to Rayleigh-Taylor Instability",

abstract = "We present a three-dimensional Direct Numerical Simulation (DNS) study of Rayleigh-Taylor Instability (RTI) using an all-speed, fully implicit, nondissipative and discrete kinetic energy conserving algorithm. In order to perform this study, an in-house, fully parallel, finite-volume, DNS solver, iDNS, which solves the set of time-dependent, compressible Navier-Stokes equations with gravity was developed based on the present algorithm and the PETSc parallel library. It is shown that the algorithm is able to capture the correct physics of the baroclinic instability and turbulent mixing. Compressibility (i.e., high Mach number) has been found more effective on the development of the flow after the diffusive growth phase passed. An increase in bubble growth rate together with a decrease in turbulent mixing was also observed at Mach number 1.1.",

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AU - Edis, Firat Oguz

AU - Saygin, Hasan

PY - 2015/6/16

Y1 - 2015/6/16

N2 - We present a three-dimensional Direct Numerical Simulation (DNS) study of Rayleigh-Taylor Instability (RTI) using an all-speed, fully implicit, nondissipative and discrete kinetic energy conserving algorithm. In order to perform this study, an in-house, fully parallel, finite-volume, DNS solver, iDNS, which solves the set of time-dependent, compressible Navier-Stokes equations with gravity was developed based on the present algorithm and the PETSc parallel library. It is shown that the algorithm is able to capture the correct physics of the baroclinic instability and turbulent mixing. Compressibility (i.e., high Mach number) has been found more effective on the development of the flow after the diffusive growth phase passed. An increase in bubble growth rate together with a decrease in turbulent mixing was also observed at Mach number 1.1.

AB - We present a three-dimensional Direct Numerical Simulation (DNS) study of Rayleigh-Taylor Instability (RTI) using an all-speed, fully implicit, nondissipative and discrete kinetic energy conserving algorithm. In order to perform this study, an in-house, fully parallel, finite-volume, DNS solver, iDNS, which solves the set of time-dependent, compressible Navier-Stokes equations with gravity was developed based on the present algorithm and the PETSc parallel library. It is shown that the algorithm is able to capture the correct physics of the baroclinic instability and turbulent mixing. Compressibility (i.e., high Mach number) has been found more effective on the development of the flow after the diffusive growth phase passed. An increase in bubble growth rate together with a decrease in turbulent mixing was also observed at Mach number 1.1.

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Application of an all-speed implicit finite-volume algorithm to Rayleigh-Taylor Instability

Abstract

Bibliographical note

Funding

Keywords

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