TY - GEN
T1 - Phase Field-Based Incompressible Two-Component Liquid Flow Simulation
AU - Hosseini, Babak Sayyid
AU - Möller, Matthias
N1 - Accepted author manuscript
PY - 2020
Y1 - 2020
N2 - In this work, we consider a Cahn–Hilliard phase field-based computational model for immiscible and incompressible two-component liquid flows with interfacial phenomena. This diffuse-interface complex-fluid model is given by the incompressible Navier–Stokes–Cahn–Hilliard (NSCH) equations. The coupling of the flow and phase field equations is given by an extra phase induced surface tension force term in the flow equations and a fluid induced transport term in the Cahn–Hilliard (CH) equations. Galerkin-based isogeometric finite element analysis is applied for space discretization of the coupled system in velocity–pressure–phase field–chemical potential formulation. For the approximation of the velocity and pressure fields, LBB compatible non-uniform rational B-spline spaces are used which can be regarded as smooth generalizations of Taylor–Hood pairs of finite element spaces. The one-step θ-scheme is used for the discretization in time. For the validation of the two-phase flow model, we present numerical results for the challenging Rayleigh-Taylor instability flow problem in two dimensions and compare them to reference results.
AB - In this work, we consider a Cahn–Hilliard phase field-based computational model for immiscible and incompressible two-component liquid flows with interfacial phenomena. This diffuse-interface complex-fluid model is given by the incompressible Navier–Stokes–Cahn–Hilliard (NSCH) equations. The coupling of the flow and phase field equations is given by an extra phase induced surface tension force term in the flow equations and a fluid induced transport term in the Cahn–Hilliard (CH) equations. Galerkin-based isogeometric finite element analysis is applied for space discretization of the coupled system in velocity–pressure–phase field–chemical potential formulation. For the approximation of the velocity and pressure fields, LBB compatible non-uniform rational B-spline spaces are used which can be regarded as smooth generalizations of Taylor–Hood pairs of finite element spaces. The one-step θ-scheme is used for the discretization in time. For the validation of the two-phase flow model, we present numerical results for the challenging Rayleigh-Taylor instability flow problem in two dimensions and compare them to reference results.
KW - B-splines/NURBS
KW - Cahn–Hilliard phase field model
KW - Isogeometric Analysis
KW - Isogeometric finite elements
KW - Navier–Stokes–Cahn–Hilliard equations
KW - Rayleigh–Taylor instability
KW - Two-phase flow
UR - http://www.scopus.com/inward/record.url?scp=85081744405&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-30705-9_15
DO - 10.1007/978-3-030-30705-9_15
M3 - Conference contribution
AN - SCOPUS:85081744405
SN - 978-3-030-30704-2
T3 - Lecture Notes in Computational Science and Engineering
SP - 165
EP - 176
BT - Numerical Methods for Flows - FEF 2017 Selected Contributions
A2 - van Brummelen, Harald
A2 - Corsini, Alessandro
A2 - Perotto, Simona
A2 - Rozza, Gianluigi
PB - Springer
CY - Cham
T2 - 19th International Conference on Finite Elements in Flow Problems, FEF 2017
Y2 - 5 April 2017 through 7 April 2017
ER -