Symmetrization of advection-diffusion operators

Details Symmetrization of advection-diffusion operators Symmetrization of advection-diffusion operators

2010-02-20

arxiv.org/abs/1002.3847v1

Physics

Fluid Dynamics

Scientific paper

We present a new method to transform an expanded class of non-selfadjoint advection-diffusion operators into self-adjoint operators. The transform is based on a combination of a point transform and Lie transform in conjunction with an asymptotic expansion in terms of the diffusivity. We illustrate the method in the context of simple shear flow where the expansion is exact and all transformation steps can be performed explicitly.

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