Three‐dimensional numerical simulation of turbulent mixing by Rayleigh–Taylor instability

1991 ◽  
Vol 3 (5) ◽  
pp. 1312-1320 ◽  
Author(s):  
David L. Youngs
Keyword(s):  
Numerical Simulation ◽  
Turbulent Mixing ◽  
Three Dimensional ◽  
Taylor Instability ◽  
Rayleigh Taylor Instability

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

2015 ◽  
Vol 12 (03) ◽  
pp. 1550018 ◽  
Author(s):  
Ilyas Yilmaz ◽  
Firat Oguz Edis ◽  
Hasan Saygin
Keyword(s):  
Mach Number ◽  
Finite Volume ◽  
Turbulent Mixing ◽  
Stokes Equations ◽  
Baroclinic Instability ◽  
Three Dimensional ◽  
Taylor Instability ◽  
Fully Implicit ◽  
Energy Conserving ◽  
Rayleigh Taylor Instability

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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