TY - CHAP
T1 - Energy Stable Simulation of Two-Phase Equilibria with Capillarity
AU - Sun, Shuyu
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): BAS/1/1351-01
Acknowledgements: This work was supported by funding from King Abdullah University of Science and Technology (KAUST) through grants BAS/1/1351-01.
PY - 2019/6/8
Y1 - 2019/6/8
N2 - We consider the affect of capillary pressure on the Van der Waals fuid and on the Peng-Robinson fluid by minimizing total Helmholtz energy in given total volume, temperature, and total moles. We propose simple but conditionally energy stable numerical schemes, and we provide interesting numerical examples. We compare our numerical results with the prediction of Kelvin’s equation, indicating that Kelvin’s equation works well only when the temperature is not too low.
AB - We consider the affect of capillary pressure on the Van der Waals fuid and on the Peng-Robinson fluid by minimizing total Helmholtz energy in given total volume, temperature, and total moles. We propose simple but conditionally energy stable numerical schemes, and we provide interesting numerical examples. We compare our numerical results with the prediction of Kelvin’s equation, indicating that Kelvin’s equation works well only when the temperature is not too low.
UR - http://hdl.handle.net/10754/656503
UR - http://link.springer.com/10.1007/978-3-030-22747-0_40
UR - http://www.scopus.com/inward/record.url?scp=85067605330&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-22747-0_40
DO - 10.1007/978-3-030-22747-0_40
M3 - Chapter
SN - 9783030227463
SP - 538
EP - 550
BT - Lecture Notes in Computer Science
PB - Springer International Publishing
ER -