88 research outputs found
Effects of initial conditions and Mach number in the evolution of Richtmyer-Meshkov instabilities
No full textWe present an experimental study of the effects of shock intensity and initial conditions on the evolution of Richtmyer-Meshkov Instabilities (RMI). This study is carried out in a vertical shock tube with a single interface of sulfur-hexafluoride and air. We use combined particle image velocimetry (PIV) and planar laser induced fluorescence (PLIF) to obtain simultaneous measurements of velocity and density. These measurements enable us to determine single- and multi-point statistics of vector, scalar, and combined fields. We use these statistical descriptors to study the evolution of turbulence mixing in RMIs under different Mach numbers and initial conditions
Direct Numerical Simulation Of Three-Dimensional Richtmyer-Meshkov Instability
No full textDirect numerical simulation (DNS) is used to study flow characteristics after interaction of a planar shock with a spherical media interface in each side of which the density is different. This interfacial instability is known as the Richtmyer-Meshkov (R-M) instability. The compressible Navier-Stoke equations are discretized with group velocity control (GVC) modified fourth order accurate compact difference scheme. Three-dimensional numerical simulations are performed for R-M instability installed passing a shock through a spherical interface. Based on numerical results the characteristics of 3D R-M instability are analysed. The evaluation for distortion of the interface, the deformation of the incident shock wave and effects of refraction, reflection and diffraction are presented. The effects of the interfacial instability on produced vorticity and mixing is discussed
Effects of adiabatic exponent on Richtmyer-Meshkov instability
No full textWe present a systematical numerical study of the effects of adiabatic exponent gamma on Richtmyer-Meshkov instability (RMI) driven by cylindrical shock waves, based on the gamma model for the multi-component problems and numerical simulation with high-order and high-resolution method for compressible Euler equations. The results show that the RMI of different gamma across the interface exhibits different evolution features with the case of single gamma. Moreover, the large gamma can hold back the development of nonlinear structures, such as spikes and bubbles
Numerical Investigation of Richtmyer-Meshkov Instability Driven by Cylindrical Shocks
No full textIn this paper, a numerical method with high order accuracy and high resolution was developed to simulate the Richtmyer-Meshkov(RM) instability driven by cylindrical shock waves. Compressible Euler equations in cylindrical coordinate were adopted for the cylindrical geometry and a third order accurate group control scheme was adopted to discretize the equations. Moreover, an adaptive grid technique was developed to refine the grid near the moving interface to improve the resolution of numerical solutions. The results of simulation exhibited the evolution process of RM instability, and the effect of Atwood number was studied. The larger the absolute value of Atwood number, the larger the perturbation amplitude. The nonlinear effect manifests more evidently in cylindrical geometry. The shock reflected from the pole center accelerates the interface for the second time, considerably complicating the interface evolution process, and such phenomena of reshock and secondary shock were studied
Numerical simulation of Richtmyer-Meshkov instability
No full textThe compressible Navier-Stokes equations discretized with a fourth order accurate compact finite difference scheme with group velocity control are used to simulate the Richtmyer-Meshkov (R-M) instability problem produced by cylindrical shock-cylindrical material interface with shock Mach number Ms = 1.2 and density ratio 1:20 (interior density/outer density). Effect of shock refraction, reflection, interaction of the reflected shock with the material interface, and effect of initial perturbation modes on R-M instability are investigated numerically. It is noted that the shock refraction is a main physical mechanism of the initial phase changing of the material surface. The multiple interactions of the reflected shock from the origin with the interface and the R-M instability near the material interface are the reason for formation of the spike-bubble structures. Different viscosities lead to different spike-bubble structure characteristics. The vortex pairing phenomenon is found in the initial double mode simulation. The mode interaction is the main factor of small structures production near the interface
Nonlinear theory of classical cylindrical Richtmyer-Meshkov instability for arbitrary Atwood numbers
No full textA nonlinear theory is developed to describe the cylindrical Richtmyer-Meshkov instability (RMI) of an impulsively accelerated interface between incompressible fluids, which is based on both a technique of Pade approximation and an approach of perturbation expansion directly on the perturbed interface rather than the unperturbed interface. When cylindrical effect vanishes (i.e., in the large initial radius of the interface), our explicit results reproduce those [Q. Zhang and S.-I. Sohn, Phys. Fluids 9, 1106 (1996)] related to the planar RMI. The present prediction in agreement with previous simulations [C. Matsuoka and K. Nishihara, Phys. Rev. E 73, 055304(R) (2006)] leads us to better understand the cylindrical RMI at arbitrary Atwood numbers for the whole nonlinear regime. The asymptotic growth rate of the cylindrical interface finger (bubble or spike) tends to its initial value or zero, depending upon mode number of the initial cylindrical interface and Atwood number. The explicit conditions, directly affecting asymptotic behavior of the cylindrical interface finger, are investigated in this paper. This theory allows a straightforward extension to other nonlinear problems related closely to an instable interface. (C) 2014 AIP Publishing LLC
Multiphysics computations on celluar interaction in complex geometries and vortex-accelerated vorticity deposition in Richtmyer-Meshkov instability
No full textThe cellular interactions during leukocyte margination and adhesion cascade in
cardiovascular microcirculations are multi-scale and multiphysics phenomena, involving fluid flow, cell mechanics, chemical reaction kinetics and transport, fluid structure interaction. The vascular network in vivo has rather complicated topology unlike straight and flat channels and pipes where most biological experiments in vitro and numerical simulations are carried. A computational framework is formulated towards a goal of building a virtual blood vessel system to simulate the hydrodynamic and kinetic interactions of blood cells in complex vascular geometries, including vascular network bifurcations and irregular shapes of the endothelial monolayer lining the blood vessel lumen in vivo. Mixed front tracking, immersed boundary and ghost cell methods are
applied. The codes are benchmarked and validated with five selected problems. We find that the erythrocyte-leukocyte interaction, leukocyte-leukocyte interaction, and vascular geometries play important roles in leukocyte margination, initial tethering and adhesion to the vascular endothelium.
In part II of the dissertation, we studied the two-dimensional microscale Richtmyer-Meshkov interfaces and discovered the self-driven vortex-accelerated vorticity deposition (VAVD) process. Opposite-signed secondary vorticity deposited by the VAVD is rolled into vortex double layers which are extremely unstable and lead to enhanced fluid mixing. The VAVD process examined and the new quantification procedure, the circulation rate of change, comprise a new vortex paradigm for examining the effect of specific initial conditions on the evolution of Richtmyer-Meshkov and Rayleigh-Taylor interfaces through intermediate times.Ph.D.Includes bibliographical references (p. 152-163)
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