• Sinusoidal Channel Comparison

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    Comparison of 5 different channel width in two-phase flow thought a sinusoidal channel. The figure shows how the channel walls may affect bubble rising velocity. It can also be seen that the sinusoidal channel affects significantly bubble shape.

  • Normal and Tangent Interface Velocity Vectors

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    Snapshot of 2-dimensional two-phase flow of an ascendent bubble. The figure shows one stage of the interface mesh motion with the normal component of the velocity (red) and tangent component of the velocity (blue) for all interface nodes.

  • Sinusoidal channel

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    This is a comparison between 1st order and 2nd order time integration for a Taylor air bubble flowing thru a sinusoidal channel. It can be seen the difference of bubble shape for the same simulation time between both temporal approaches.

  • Rayleigh Taylor instability

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    A case with strong interface deformation is investigated. It is described by the unstable situation of a heavy fluid resting upon a lighter one in a gravitational field. The density ratio of the fluids is 0.1383 and their viscosities are equal. This case is two-dimensional and no surface tension acts on the interface.

  • Three rising bubble test cases

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    The figure shows bubble shape transition of the rising air bubble immersed in sugar water solution. The numerical results were compared to the widely cited experiments performed by Bhaga and Weber (1981). From left to right, the viscosity of the liquid solution (dark brown color) increases and thus the bubble shape changes.

  • Break up in sinusoidal Channel

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    Break-up of bubble in two-phase flow thought a sinusoidal channel. The figure shows the pressure field of a taylor bubble about to break the interface up. The colors represent the scale of pressure along the bubble length, where the red color stands for higher pressure, while the blue one represents low pressure.

  • Taylor Bubble

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    Two-phase flow thought a microchannel. The figure shows the taylor bubble flowing along the microchannel. It can be seen that the tail of the bubble has a particular shape due to its motion.

  • Sinusoidal Channel

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    Two-phase flow thought a sinusoidal channel. The figure shows the last stage of the mesh manufacturing. It can be seen two distinct structures: the channel and bubble’s meshes.

  • Rising Bubble

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    Visualization of surface (triangles) and background (tetrahedrons) meshes for two-phase flows simulation of an air bubble in a water-sugar solution using an 3D Finite Element Arbitrary Lagrangian Eulerian code.

  • 3D Vortex

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    The surface mesh is represented by interconnected triangular faces in which a fully 3D vortex field distorts it. The surface mesh is initially configured as a sphere and later assumes such a form. The field is then reversed to recover the initial sphere shape.

  • Single Vortex

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    Two-phase flow on a single vortex background flow. This benchmark is an important tool to test the limits of the interface reconstruction.The tetrahedral background mesh is colored by the magnitude of the vortex field velocity.

  • Sessile Drop

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    Comparison between numerical solution of an axisymmetric sessile drop and the exact solution of its shape derived by the Young-Laplace equation of capillarity.

  • Rotating Disk

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    Single phase rotating disk flow. The boundary layer is shown decomposed onto three orthogonal directions: x, y and z. The inflow comes from the top while the outlow is set by the movement of the circular disk, where the fluid is thrown out when approaches the plate.