Energy stable numerical scheme for the viscous Cahn–Hilliard–Navier–Stokes equations with moving contact line

2019 ◽  
Vol 35 (3) ◽  
pp. 1113-1133 ◽  
Author(s):  
Laurence Cherfils ◽  
Madalina Petcu
Keyword(s):  
Contact Line ◽  
Numerical Scheme ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Moving Contact Line ◽  
Moving Contact ◽  
Energy Stable

scholarly journals Simulating two-phase flows with thermodynamically consistent energy stable Cahn-Hilliard Navier-Stokes equations on parallel adaptive octree based meshes

2020 ◽  
Vol 419 ◽  
pp. 109674
Author(s):  
Makrand A. Khanwale ◽  
Alec D. Lofquist ◽  
Hari Sundar ◽  
James A. Rossmanith ◽  
Baskar Ganapathysubramanian
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Two Phase Flows ◽  
Two Phase ◽  
Navier Stokes Equations ◽  
Energy Stable

Roll and Heave Response of Hull Sections of Variable Shapes in Waves

2010 ◽  
Author(s):  
Yi-Hsiang Yu ◽  
Spyros A. Kinnas
Keyword(s):  
Numerical Scheme ◽  
Stokes Equations ◽  
Vertical Direction ◽  
Navier Stokes ◽  
Hull Form ◽  
Navier Stokes Equations ◽  
Beam Seas ◽  
Near Resonance ◽  
A Cell ◽  
Volume Method

This paper addresses the hull responses near resonance in beam seas. A 2-D analysis is performed, and the hull form is free to roll and to move in the vertical direction (2-DOF). A cell center based finite volume method is applied for solving the Navier-Stokes equations. The numerical scheme is utilized for analyzing the flow field around the hull section as well as for predicting the wave and floating hull interaction. The effect of the hull corner geometry and the effectiveness of using bilge keels on roll damping are examined. The results show that the maximum roll response is reduced when the hull is free to heave and to roll as compared to the roll-only case (1-DOF). In general, the maximum hull response decreases when the shed vortices are induced by the sharp edge, and the reduction increases as the keel width increases.

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