Spherical Richtmyer-Meshkov instability for axisymmetric flow
نویسندگان
چکیده
Front tracking has proved to be an accurate and efficient algorithm in the sense that tracking the interface can reduce the error significantly [9,10]. By applying this algorithm, we conduct numerical simulations of Richtmyer–Meshkov (RM) instabilities in spherical geometry for axisymmetric flow. We demonstrate scaling invariance with respect to shock Mach number for fluid mixing statistics, such as growth rate and volume fraction. Here the mixing is related to bulk transport rather than molecular mixing. Our results are validated by convergence under both mesh refinement and statistical ensemble averaging. We also show that the spherical geometry will converge to planar geometry when the number of modes of interface perturbation goes to infinity. © 2004 IMACS. Published by Elsevier B.V. All rights reserved.
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1 Department of Applied Mathematics and Statistics, University at Stony Brook, Stony Brook, New York 11794-3600; e-mail: [email protected] 2 Center for Data Intensive Computing, Brookhaven National Laboratory, Upton, New York 11793-6000. 3 Hydrodynamics Methods Group, Applied Physics Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545. Received March 8, 2001; accepted Sep...
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ورودعنوان ژورنال:
- Mathematics and Computers in Simulation
دوره 65 شماره
صفحات -
تاریخ انتشار 2004