An energy stable and positivity-preserving scheme for the Maxwell-Stefan diffusion system

Xiaokai Huo, Hailiang Liu, Athanasios Tzavaras, Shuaikun Wang

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We develop a new finite difference scheme for the Maxwell-Stefan diffusion system. The scheme is conservative, energy stable and positivity-preserving. These nice properties stem from a variational structure and are proved by reformulating the finite difference scheme into an equivalent optimization problem. The solution to the scheme emerges as the minimizer of the optimization problem, and as a consequence energy stability and positivity-preserving properties are obtained.
Original languageEnglish (US)
JournalAccepted by the SIAM Journal on Numerical Analysis
StatePublished - May 16 2020

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