Reduced models of chemical reaction in chaotic flowsTools Vikhansky, A. and Cox, Stephen M. (2006) Reduced models of chemical reaction in chaotic flows. Physics of Fluids, 18 (3). 03710210371026. ISSN 10706631
Official URL: http://pof.aip.org/phfle6/v18/i3/p037102_s1
AbstractWe describe and evaluate two reduced models for nonlinear chemical reactions in a chaotic laminar flow. Each model involves two separate steps to compute the chemical composition at a given location and time. The “manifold tracking model” first tracks backwards in time a segment of the stable manifold of the requisite point. This then provides a sample of the initial conditions appropriate for the second step, which requires solving onedimensional problems for the reaction in Lagrangian coordinates. By contrast, the first step of the “branching trajectories model” simulates both the advection and diffusion of fluid particles that terminate at the appropriate point; the
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