Application of an All-Speed Implicit Finite-Volume Algorithm to Rayleigh-Taylor Instability


YILMAZ İ., Edis F. O. , Saygin H.

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, vol.12, no.3, 2015 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 3
  • Publication Date: 2015
  • Doi Number: 10.1142/s0219876215500188
  • Title of Journal : INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS

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.