Journal
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
Volume 9, Issue 5, Pages 1162-1188Publisher
GLOBAL SCIENCE PRESS
DOI: 10.4208/aamm.OA-2016-0024
Keywords
Diffuse interface model; fourth order parabolic equation; convex-splitting scheme; convergence
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We present a convex-splitting scheme for the fourth order parabolic equation derived from a diffuse interface model with Peng-Robinson equation of state for pure substance. The semi-implicit scheme is proven to be uniquely solvable, mass conservative, unconditionally energy stable and L-infinity convergent with the order of O(Delta t+h(2)). The numerical results verify the effectiveness of the proposed algorithm and also show good agreement of the numerical solution with laboratory experimental results.
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