Energy Stable Simulation of Two-Phase Equilibria with Capillarity

Shuyu Sun

doi:10.1007/978-3-030-22747-0_40

Energy Stable Simulation of Two-Phase Equilibria with Capillarity

Shuyu Sun

Research output: Chapter in Book/Report/Conference proceeding › Chapter

2 Scopus citations

Abstract

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.

Original language	English (US)
Title of host publication	Lecture Notes in Computer Science
Publisher	Springer International Publishing
Pages	538-550
Number of pages	13
ISBN (Print)	9783030227463
DOIs	https://doi.org/10.1007/978-3-030-22747-0_40
State	Published - Jun 8 2019

Bibliographical note

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.

Access to Document

10.1007/978-3-030-22747-0_40

Cite this

@inbook{485511c7e18c4c119b5f942a93b5a1ee,

title = "Energy Stable Simulation of Two-Phase Equilibria with Capillarity",

abstract = "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{\textquoteright}s equation, indicating that Kelvin{\textquoteright}s equation works well only when the temperature is not too low.",

author = "Shuyu Sun",

note = "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.",

year = "2019",

month = jun,

day = "8",

doi = "10.1007/978-3-030-22747-0_40",

language = "English (US)",

isbn = "9783030227463",

pages = "538--550",

booktitle = "Lecture Notes in Computer Science",

publisher = "Springer International Publishing",

}

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 -

Energy Stable Simulation of Two-Phase Equilibria with Capillarity

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this