Effects of Error on the Onset and Evolution of Rayleigh–Taylor Instability

Sengupta, Aditi; Sengupta, Tapan K.; Sengupta, Soumyo; Mudkavi, Vidyadhar Y

doi:10.1007/978-3-319-60387-2_25

Cited by 4 publications

(3 citation statements)

References 16 publications

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“…For compressible flows, ∇ • V is a significant non-negligible quantity. Past simulations of RTI [12,14,27] have shown the necessity to include the bulk viscosity to capture the early time behavior of RTI. Here, such an approach based on the acoustic dispersion and attenuation measurements in [15] for µ b is adopted.…”

Section: Formulation Of Compressible Navier-stokes Equation For Rtimentioning

confidence: 99%

“…This is used only to obtain derivatives at the sub-domain boundaries and decouple the system of equations in Eq. (27). Then processors independently solve Eq.…”

Section: Formulation Of Compressible Navier-stokes Equation For Rtimentioning

confidence: 99%

“…In practice, there is no need to impose any length scale as there are many 2D and 3D direct numerical simulations (DNS) where the initial interface is purely taken as planar [12,14,20,21,27] to replicate the experiments reported in [17,22,28] where the fluid interface is initially plane and the onset of RTI has been shown to originate from the edges and corners of the initial interface [12].…”

Section: Introductionmentioning

confidence: 99%

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Ultrasound Triggering of Rayleigh-Taylor Instability: Solution of Compressible Navier-Stokes Equation by a Non-Overlapping Parallel Compact Scheme

Sundaram¹,

Sengupta²,

Sengupta³

2022

Preprint

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Rayleigh-Taylor instability (RTI) occurs at the interface of two media when the heavier fluid is accelerated into the lighter fluid and is a prototypical hydrodynamic event present in many physical events. In high energy physics, this manifests itself across a wide range of length scales from nuclear confinement fusion at micron-scale to supernova explosion at terra scales. RTI can also be viewed as a baroclinic instability prevalent in engineering, geophysics, and astrophysics, a pedagogic description of which is given in Sengupta et al., Comput. Fluids, 225, 104995 (2021) with respect to the experimental results of Read, Physica D, 12 45-58 (1984). Here, a recently proposed non-overlapping parallel algorithm is used to solve this three-dimensional canonical problem, having the unique property of not distinguishing between sequential and parallel computing, using 4.19 billion points and a refined time step of 7.69 × 10 −8 sec. The problem achieves the required density gradient by considering two volumes of air at different temperatures (with a temperature difference of 200K) separated by a non-conducting, impermeable partition at the onset of the experiment, which is removed impulsively at t = 0. The resulting buoyancy force at the interface acting from top to bottom is the seed of the baroclinic instability. Present high precision computation enables one to capture the ensuing RTI triggered by ultrasonic waves created at the interface.

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Section: Formulation Of Compressible Navier-stokes Equation For Rtimentioning

confidence: 99%

“…This is used only to obtain derivatives at the sub-domain boundaries and decouple the system of equations in Eq. (27). Then processors independently solve Eq.…”

Section: Formulation Of Compressible Navier-stokes Equation For Rtimentioning

confidence: 99%