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- W2183695429 abstract "When solving non-stationary advection-diffusion problems stability is a major issue. In cases where the diffusive part is very small, only implicit schemes can guarantee this stabil- ity. We use the notion of exterior derivative d, Lie derivative Land Hodge operator ⋆ to introduce the time dependent advection-diffusion problem of a differential k-form ω(t) −d⋆ e dω(t) + ⋆∂ t ω(·,t) + ⋆L � ω(·,t) = ϕ in ⊂ R n . This formulation includes not only the well studied scalar case, but also other interesting problems like the mag- netic advection-diffusion problem related to magnetohydro- dynamics. A discretization along the ideas of Discrete Ex- terior Calculus (DEC) helps reveal fundamental structural properties shared by all advection-diffusion problems." @default.
- W2183695429 created "2016-06-24" @default.
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- W2183695429 date "2011-01-01" @default.
- W2183695429 modified "2023-09-27" @default.
- W2183695429 title "Advection in Discrete Exterior Calculus" @default.
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