Book Chapter10.1007/3-540-31801-1_93
A Second-Order Adaptive Sharp-Interface Method for Incompressible Multiphase Flow
Mark Sussman,M. Y. Hussaini,K. M. Smith,Ren Zhi-Wei,Viorel Mihalef +4 more
- 01 Jan 2006
- pp 643-648
7
TL;DR: The present method combines the advantages of the Cartesian-grid approach, second-order coupled level set and volume-of-fluid approach, and the dynamic adaptive mesh refinement(AMR) procedure to treat complex three-dimensional problems with sharp interfaces to capture or preserve sharp slip-lines, phase boundaries remarkably well.
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Abstract: The present method combines the advantages of the Cartesian-grid approach, second-order coupled level set and volume-of-fluid approach, and the dynamic adaptive mesh refinement(AMR) procedure to treat complex three-dimensional problems with sharp interfaces. Its accuracy and robustness are demonstrated by its application to bubble dynamics, ship hydrodynamics, and “water crown” computation. It is shown to capture or preserve sharp slip-lines, phase boundaries remarkably well.
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Citations
•Book
Nonlinear partial differential equations with applications
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- 01 Jan 2005
TL;DR: In this paper, the authors present a system of equations for evolving pseudomonotone or weakly continuous mappings with set-valued mappings, and a set of auxiliary tools.
High-order Techniques for Calculating Surface Tension Forces
Mark Sussman,Mitsuhiro Ohta +1 more
- 01 Jan 2006
TL;DR: In this paper, the authors developed a systematic approach for calculating curvature from volume fractions which is accurate to any order, and they test the second-order height fraction technique on the following two-phase problems: (1) the break-up of a cylindrical column of liquid due to Rayleigh-capillary instability, (2) surface tension induced droplet oscillations and (3) the steady motion of gas bubbles rising in liquid.
A Computational Study of Bubble Motion in Newtonian and Viscoelastic Fluids
Edwin Jim ' e nez,Mark Sussman,Mitsuhiro Ohta +2 more
- 01 Jun 2005
TL;DR: In this paper, the authors used a coupled level set and volume-of-fluid method with a second order treatment for the jump conditions related to surface tension to compute bubble motion in quiescent Newto-Nian and viscoelastic liquids.
18
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An adaptive coupled level-set/volume-of-fluid interface capturing method for unstructured triangular grids
TL;DR: Different from previous works, this work has developed an analytic method for finding the line constant on triangular grids, which makes interface reconstruction efficient and conserves volume of fluid exactly.
References
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A level set approach for computing solutions to incompressible two-phase flow
TL;DR: A level set method for capturing the interface between two fluids is combined with a variable density projection method to allow for computation of two-phase flow where the interface can merge/break and the flow can have a high Reynolds number.
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A level set approach for computing solutions to incompressible two- phase flow II
Mark Sussman,Emad Fatemi,Stanley Osher,Peter Smereka +3 more
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TL;DR: In this article, a level set method for capturing the interface between two fluids is combined with a variable density projection method to allow for computation of two-phase flow where the interface can merge/break and the flow can have a high Reynolds number.
A front-tracking method for viscous, incompressible, multi-fluid flows
TL;DR: In this paper, a method to simulate unsteady multi-fluid flows in which a sharp interface or a front separates incompressible fluids of different density and viscosity is described.
2.5K
A Coupled Level Set and Volume-of-Fluid Method for Computing 3D and Axisymmetric Incompressible Two-Phase Flows
TL;DR: In this article, a coupled level set/volume-of-fluid (CLSVOF) method was proposed for computing 3D and axisymmetric incompressible two-phase flows.
1.7K