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Volume 9, Issue 1
Energy Stable Linear Schemes for Mass-Conserved Gradient Flows with Peng-Robinson Equation of State

Qiujin Peng, Hongwei Li & Zuoliang Xu

DOI: 10.4208/eajam.140418.120518

East Asian J. Appl. Math., 9 (2019), pp. 212-232.

Published online: 2019-01

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  • 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.

  • Keywords

Conservative gradient flow, Peng-Robinson equation of state, invariant energy quadratisation, unconditional energy stability.

  • AMS Subject Headings

65N30, 65N50, 49S05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-9-212, author = {Qiujin Peng, Hongwei Li and Zuoliang Xu}, title = {Energy Stable Linear Schemes for Mass-Conserved Gradient Flows with Peng-Robinson Equation of State}, journal = {East Asian Journal on Applied Mathematics}, year = {2019}, volume = {9}, number = {1}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.140418.120518 }, url = {http://global-sci.org/intro/article_detail/eajam/12943.html} }
TY - JOUR T1 - Energy Stable Linear Schemes for Mass-Conserved Gradient Flows with Peng-Robinson Equation of State AU - Qiujin Peng, Hongwei Li & Zuoliang Xu JO - East Asian Journal on Applied Mathematics VL - 1 SP - 212 EP - 232 PY - 2019 DA - 2019/01 SN - 9 DO - http://doi.org/10.4208/eajam.140418.120518 UR - https://global-sci.org/intro/article_detail/eajam/12943.html KW - Conservative gradient flow, Peng-Robinson equation of state, invariant energy quadratisation, unconditional energy stability. AB -

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.

Qiujin Peng, Hongwei Li and Zuoliang Xu. (2019). Energy Stable Linear Schemes for Mass-Conserved Gradient Flows with Peng-Robinson Equation of State. East Asian Journal on Applied Mathematics. 9 (1). 212-232. doi:10.4208/eajam.140418.120518
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