TY - JOUR
T1 - Exponential Time Differencing Schemes for the Peng-Robinson Equation of State with Preservation of Maximum Bound Principle
AU - Huang , Qiumei
AU - Jiang , Kun
AU - Li , Jingwei
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 494
EP - 527
PY - 2022
DA - 2022/01
SN - 14
DO - http://doi.org/10.4208/aamm.OA-2021-0008
UR - https://global-sci.org/intro/article_detail/aamm/20207.html
KW - Peng-Robinson equation of state, diffuse interface model, maximum bound principle, exponential time differencing, Lagrange multiplier.
AB - <p style="text-align: justify;">The Peng-Robinson equation of state, one of the most extensively applied
equations of state in the petroleum industry and chemical engineering, has an excellent appearance in predicting the thermodynamic properties of a wide variety of materials. It has been a great challenge on how to design numerical schemes with preservation of mass conservation and energy dissipation law. Based on the exponential
time difference combined with the stabilizing technique and added Lagrange multiplier enforcing the mass conservation, we develop the efficient first- and second-order
numerical schemes with preservation of maximum bound principle (MBP) to solve
the single-component two-phase diffuse interface model with Peng-Robinson equation
of state. Convergence analyses as well as energy stability are also proven. Several two-dimensional and three-dimensional experiments are performed to verify these theoretical results.</p>