TY - GEN
T1 - A Novel Energy Stable Numerical Scheme for Navier-Stokes-Cahn-Hilliard Two-Phase Flow Model with Variable Densities and Viscosities
AU - Feng, Xiaoyu
AU - Kou, Jisheng
AU - Sun, Shuyu
N1 - KAUST Repository Item: Exported on 2021-02-23
PY - 2018/6/12
Y1 - 2018/6/12
N2 - A novel numerical scheme including time and spatial discretization is offered for coupled Cahn-Hilliard and Navier-Stokes governing equation system in this paper. Variable densities and viscosities are considered in the numerical scheme. By introducing an intermediate velocity in both Cahn-Hilliard equation and momentum equation, the scheme can keep discrete energy law. A decouple approach based on pressure stabilization is implemented to solve the Navier-Stokes part, while the stabilization or convex splitting method is adopted for the Cahn-Hilliard part. This novel scheme is totally decoupled, linear, unconditionally energy stable for incompressible two-phase flow diffuse interface model. Numerical results demonstrate the validation, accuracy, robustness and discrete energy law of the proposed scheme in this paper.
AB - A novel numerical scheme including time and spatial discretization is offered for coupled Cahn-Hilliard and Navier-Stokes governing equation system in this paper. Variable densities and viscosities are considered in the numerical scheme. By introducing an intermediate velocity in both Cahn-Hilliard equation and momentum equation, the scheme can keep discrete energy law. A decouple approach based on pressure stabilization is implemented to solve the Navier-Stokes part, while the stabilization or convex splitting method is adopted for the Cahn-Hilliard part. This novel scheme is totally decoupled, linear, unconditionally energy stable for incompressible two-phase flow diffuse interface model. Numerical results demonstrate the validation, accuracy, robustness and discrete energy law of the proposed scheme in this paper.
UR - http://hdl.handle.net/10754/628339
UR - http://link.springer.com/10.1007/978-3-319-93713-7_9
UR - http://www.scopus.com/inward/record.url?scp=85049042791&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-93713-7_9
DO - 10.1007/978-3-319-93713-7_9
M3 - Conference contribution
AN - SCOPUS:85049042791
SN - 9783319937120
SP - 113
EP - 128
BT - Computational Science – ICCS 2018
PB - Springer Nature
ER -