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A finite volume scheme for convection-diffusion equations with nonlinear diffusion derived from the Scharfetter-Gummel scheme
convection-diffusion equations nonlinear diffusion derived Scharfetter-Gummel scheme
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2010/11/15
We propose a finite volume scheme for convection-diffusion equations with nonlinear diffusion. Such equations arise in numerous physical contexts. We will particularly focus on the drift-diffusion sy...
Interaction between nonlinear diffusion and geometry of domain
nonlinear diffusion geometry of domain initial-boundary value problem
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2010/12/15
Let be a domain in RN, where N ≥ 2 and @ is not necessarily bounded. We consider nonlinear diffusion equations of the form @tu = (u). Let u = u(x, t) be the solution of either the initial-boundary ...
Nonlinear diffusion model for Rayleigh-Taylor mixing
Nonlinear diffusion Rayleigh-Taylor mixing temperature profile numerical simulations
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2010/4/1
The complex evolution of turbulent mixing in Rayleigh-Taylor convection is studied in terms of eddy diffusiviy models for the mean temperature profile. It is found that a non-linear model, derived wit...