Diffusion Correction to Slow Invariant Manifolds in a Short Length Scale Limit
نویسندگان
چکیده
Slow Invariant Manifolds (SIM) are calculated for isothermal closed reaction-diffusion systems as a model reduction technique. Diffusion effects are examined using a Galerkin projection that rigorously accounts for the coupling of reaction and diffusion processes. This method reduces the infinite dimensional dynamical system by projecting it on a low dimensional approximate inertial manifold. A robust method of constructing a one-dimensional SIM by calculating equilibria and then integrating heteroclinic orbits is discussed. A diffusion-coupling of length and time scales is shown. Examples are demonstrated on a physical reaction mechanism.
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