A parallel two-phase flow solver on unstructured mesh in 3D

Li Luo; Jennifer Zhang; Xiao Ping Wang; Xiao Chuan Cai

doi:10.1007/978-3-319-52389-7_39

A parallel two-phase flow solver on unstructured mesh in 3D

Li Luo
, Jennifer Zhang
, Xiao Ping Wang
, Xiao Chuan Cai

Integrated Energy Technologies

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Two-phase flow problem plays an important role in many scientific and engineering processes. The problem can be described by a phase-field model consisting of the coupled Cahn-Hilliard and Navier-Stokes equations with the generalized Navier boundary condition. Accurate simulation of the interface and contact line motion requires very fine meshes, and the computation in 3D is even more challenging. Thus, the use of high performance computers and scalable parallel algorithms are indispensable. In this paper, we introduce a finite element method on unstructured 3D meshes with a semi-implicit time integration scheme, and a highly parallel solution strategy using different solvers for different components of the discretization. More precisely, we apply a restricted additive Schwarz preconditioned GMRES method to solve the systems arising from implicit discretization of the Cahn-Hilliard equation and the velocity equation, and an algebraic multigrid preconditioned CG method to solve the pressure Poisson system. Numerical experiments show that the strategy is efficient and scalable for 3D problems with complex geometry and on a supercomputer with a large number of processors.

Original language	English
Title of host publication	Domain Decomposition Methods in Science and Engineering XXIII
Editors	Hyea Hyun Kim, Axel Klawonn, Eun-Jae Park, Chang-Ock Lee, Olof B. Widlund, Xiao-Chuan Cai, David E. Keyes
Publisher	Springer Verlag
Pages	379-387
Number of pages	9
ISBN (Print)	9783319523880
DOIs	https://doi.org/10.1007/978-3-319-52389-7_39
State	Published - 2017
Event	23rd International Conference on Domain Decomposition Methods, DD23 - Jeju Island, Korea, Republic of Duration: Jul 6 2015 → Jul 10 2015

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	116
ISSN (Print)	1439-7358

Conference

Conference	23rd International Conference on Domain Decomposition Methods, DD23
Country/Territory	Korea, Republic of
City	Jeju Island
Period	07/6/15 → 07/10/15

Access to Document

10.1007/978-3-319-52389-7_39

Cite this

Luo, L., Zhang, J., Wang, X. P., & Cai, X. C. (2017). A parallel two-phase flow solver on unstructured mesh in 3D. In H. H. Kim, A. Klawonn, E.-J. Park, C.-O. Lee, O. B. Widlund, X.-C. Cai, & D. E. Keyes (Eds.), Domain Decomposition Methods in Science and Engineering XXIII (pp. 379-387). (Lecture Notes in Computational Science and Engineering; Vol. 116). Springer Verlag. https://doi.org/10.1007/978-3-319-52389-7_39

Luo, Li ; Zhang, Jennifer ; Wang, Xiao Ping et al. / A parallel two-phase flow solver on unstructured mesh in 3D. Domain Decomposition Methods in Science and Engineering XXIII. editor / Hyea Hyun Kim ; Axel Klawonn ; Eun-Jae Park ; Chang-Ock Lee ; Olof B. Widlund ; Xiao-Chuan Cai ; David E. Keyes. Springer Verlag, 2017. pp. 379-387 (Lecture Notes in Computational Science and Engineering).

@inproceedings{6c1bfb78d0224d4e97f1de9e3e60078a,

title = "A parallel two-phase flow solver on unstructured mesh in 3D",

abstract = "Two-phase flow problem plays an important role in many scientific and engineering processes. The problem can be described by a phase-field model consisting of the coupled Cahn-Hilliard and Navier-Stokes equations with the generalized Navier boundary condition. Accurate simulation of the interface and contact line motion requires very fine meshes, and the computation in 3D is even more challenging. Thus, the use of high performance computers and scalable parallel algorithms are indispensable. In this paper, we introduce a finite element method on unstructured 3D meshes with a semi-implicit time integration scheme, and a highly parallel solution strategy using different solvers for different components of the discretization. More precisely, we apply a restricted additive Schwarz preconditioned GMRES method to solve the systems arising from implicit discretization of the Cahn-Hilliard equation and the velocity equation, and an algebraic multigrid preconditioned CG method to solve the pressure Poisson system. Numerical experiments show that the strategy is efficient and scalable for 3D problems with complex geometry and on a supercomputer with a large number of processors.",

author = "Li Luo and Jennifer Zhang and Wang, \{Xiao Ping\} and Cai, \{Xiao Chuan\}",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG 2017.; 23rd International Conference on Domain Decomposition Methods, DD23 ; Conference date: 06-07-2015 Through 10-07-2015",

year = "2017",

doi = "10.1007/978-3-319-52389-7\_39",

language = "English",

isbn = "9783319523880",

series = "Lecture Notes in Computational Science and Engineering",

publisher = "Springer Verlag",

pages = "379--387",

editor = "Kim, \{Hyea Hyun\} and Axel Klawonn and Eun-Jae Park and Chang-Ock Lee and Widlund, \{Olof B.\} and Xiao-Chuan Cai and Keyes, \{David E.\}",

booktitle = "Domain Decomposition Methods in Science and Engineering XXIII",

}

Luo, L, Zhang, J, Wang, XP & Cai, XC 2017, A parallel two-phase flow solver on unstructured mesh in 3D. in HH Kim, A Klawonn, E-J Park, C-O Lee, OB Widlund, X-C Cai & DE Keyes (eds), Domain Decomposition Methods in Science and Engineering XXIII. Lecture Notes in Computational Science and Engineering, vol. 116, Springer Verlag, pp. 379-387, 23rd International Conference on Domain Decomposition Methods, DD23, Jeju Island, Korea, Republic of, 07/6/15. https://doi.org/10.1007/978-3-319-52389-7_39

A parallel two-phase flow solver on unstructured mesh in 3D. / Luo, Li; Zhang, Jennifer; Wang, Xiao Ping et al.
Domain Decomposition Methods in Science and Engineering XXIII. ed. / Hyea Hyun Kim; Axel Klawonn; Eun-Jae Park; Chang-Ock Lee; Olof B. Widlund; Xiao-Chuan Cai; David E. Keyes. Springer Verlag, 2017. p. 379-387 (Lecture Notes in Computational Science and Engineering; Vol. 116).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - A parallel two-phase flow solver on unstructured mesh in 3D

AU - Luo, Li

AU - Zhang, Jennifer

AU - Wang, Xiao Ping

AU - Cai, Xiao Chuan

N1 - Publisher Copyright: © Springer International Publishing AG 2017.

PY - 2017

Y1 - 2017

N2 - Two-phase flow problem plays an important role in many scientific and engineering processes. The problem can be described by a phase-field model consisting of the coupled Cahn-Hilliard and Navier-Stokes equations with the generalized Navier boundary condition. Accurate simulation of the interface and contact line motion requires very fine meshes, and the computation in 3D is even more challenging. Thus, the use of high performance computers and scalable parallel algorithms are indispensable. In this paper, we introduce a finite element method on unstructured 3D meshes with a semi-implicit time integration scheme, and a highly parallel solution strategy using different solvers for different components of the discretization. More precisely, we apply a restricted additive Schwarz preconditioned GMRES method to solve the systems arising from implicit discretization of the Cahn-Hilliard equation and the velocity equation, and an algebraic multigrid preconditioned CG method to solve the pressure Poisson system. Numerical experiments show that the strategy is efficient and scalable for 3D problems with complex geometry and on a supercomputer with a large number of processors.

AB - Two-phase flow problem plays an important role in many scientific and engineering processes. The problem can be described by a phase-field model consisting of the coupled Cahn-Hilliard and Navier-Stokes equations with the generalized Navier boundary condition. Accurate simulation of the interface and contact line motion requires very fine meshes, and the computation in 3D is even more challenging. Thus, the use of high performance computers and scalable parallel algorithms are indispensable. In this paper, we introduce a finite element method on unstructured 3D meshes with a semi-implicit time integration scheme, and a highly parallel solution strategy using different solvers for different components of the discretization. More precisely, we apply a restricted additive Schwarz preconditioned GMRES method to solve the systems arising from implicit discretization of the Cahn-Hilliard equation and the velocity equation, and an algebraic multigrid preconditioned CG method to solve the pressure Poisson system. Numerical experiments show that the strategy is efficient and scalable for 3D problems with complex geometry and on a supercomputer with a large number of processors.

UR - https://www.scopus.com/pages/publications/85016191140

U2 - 10.1007/978-3-319-52389-7_39

DO - 10.1007/978-3-319-52389-7_39

M3 - Conference contribution

AN - SCOPUS:85016191140

SN - 9783319523880

T3 - Lecture Notes in Computational Science and Engineering

SP - 379

EP - 387

BT - Domain Decomposition Methods in Science and Engineering XXIII

A2 - Kim, Hyea Hyun

A2 - Klawonn, Axel

A2 - Park, Eun-Jae

A2 - Lee, Chang-Ock

A2 - Widlund, Olof B.

A2 - Cai, Xiao-Chuan

A2 - Keyes, David E.

PB - Springer Verlag

T2 - 23rd International Conference on Domain Decomposition Methods, DD23

Y2 - 6 July 2015 through 10 July 2015

ER -

A parallel two-phase flow solver on unstructured mesh in 3D

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this