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Sensitivity Lower Bounds for Approximation Algorithms

Sensitivity measures how much the output of an algorithm changes, in terms of Hamming distance, when part of the input is modified. While approximation algorithms with low sensitivity have been developed for many problems, no sensitivity lower bounds were previously known for approximation algorithms. In this work, we establish the first polynomial lower bound on the sensitivity of (randomized) ap

LES of Stable Combustion and Lean Blow-out in a Mach 2 Cavity Flameeholder

This study presents high-fidelity Large Eddy Simulations (LES) of supersonic combustion in a Mach 2 cavity flameholder over the full stable fueling region from 40 to 200 slpm. The simulations employ Finite Rate Chemistry LES with the Z70 ethylene-air mechanism, the Localized Dynamic k-equation model, Partially Stirred Reactor turbulence-chemistry interaction model, conjugate heat transfer, and the