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Thermoelectric Properties of Fe0.2Co3.8Sb12-xTex ... - Physics

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Direct Numerical Simulation <strong>of</strong><br />

Turbulence in the Two-Dimensional<br />

Navier-Stokes-Cahn-Hilliard Equations<br />

Nairita Pal, Anupam Gupta and Rahul Pandit<br />

Department <strong>of</strong> <strong>Physics</strong>,<br />

Indian Institute <strong>of</strong> Science,<br />

Bangalore<br />

November 15, 2012<br />

Abstract<br />

We study a phase-field model for a mixture <strong>of</strong> two-dimensional(2D)<br />

incompressible fluids, both <strong>of</strong> which obey the Navier-Stokes Equation.We<br />

elucidate their mixing by introducing a phase-field order parameter<br />

which obeys the Cahn-Hilliard Equation. We have developed<br />

an MPI, parallel, pseudospectral code for the direct numerical simulation<br />

(DNS) <strong>of</strong> the coupled Navier-Stokes-Cahn-Hilliard Equations in<br />

2D. We present preliminary results from this DNS for decaying turbulence<br />

in this system. We concentrate on statistical properties such as<br />

the energy and dissipation time-series, the enrgy and enstrophy spectra,<br />

dissipation-reduction-type phenomena and the motion <strong>of</strong> droplets<br />

<strong>of</strong> the minority phase in this turbulent binary-fluid mixture.<br />

1

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