A variational interface-preserving and conservative phase-field method for the surface tension effect in two-phase flows
نویسندگان
چکیده
We present a finite element based variational interface-preserving and conservative phase-field formulation for the modeling of incompressible two-phase flows with surface tension dynamics. The preservation hyperbolic tangent interface profile convective Allen-Cahn relies on novel time-dependent mobility model. coefficient is adjusted adaptively as function gradients velocity order parameter in diffuse region such way that free energy minimization properly opposes distortion. ratio distortion to termed parameter, which characterizes deviation from shape due convection effect. In formulation, mass conservation achieved by enforcing Lagrange multiplier both temporal spatial dependence function. integrate Navier-Stokes equations continuum force model simulation flows. A positivity preserving scheme designed boundedness stability solution employed discretization using unstructured elements. examine convergence accuracy solver through generic one-dimensional bistable convection-diffusion-reaction system stretching flow. quantify systematically assess relative thickness error respect parameter. Two- three-dimensional rising bubble cases are further simulated effectiveness proposed volume-preserving mean curvature flow capability. Finally, we demonstrate applicability case two bubbles merging an mesh, includes complex topological changes
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2021
ISSN: ['1090-2716', '0021-9991']
DOI: https://doi.org/10.1016/j.jcp.2021.110166