Year: 2019
East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 1 : pp. 212–232
Abstract
First and second order numerical schemes for the fourth order parabolic equation with Peng-Robinson equation of state, which are based on recently proposed invariant energy quadratisation method are developed. Both schemes are linear, unconditionally energy stable and uniquely solvable. The reduced linear systems are symmetric and positive definite, so that their solutions can be efficiently found. Numerical results demonstrate the good performance of the schemes, consistent with experimental data.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.140418.120518
East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 1 : pp. 212–232
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Conservative gradient flow Peng-Robinson equation of state invariant energy quadratisation unconditional energy stability.