Xiaokai Huo, Hailiang Liu, Athanasios E. Tzavaras, Shuaikun Wang
Published 2020-05-16Version 1
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.
Convergence and error estimates for a finite difference scheme for the multi-dimensional compressible Navier-Stokes system
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