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A Rotational Pressure-Correction Scheme for Incompressible Two-Phase Flows with Open Boundaries.

Dong S, Wang X - PLoS ONE (2016)

Bottom Line: Two-phase outflows refer to situations where the interface formed between two immiscible incompressible fluids passes through open portions of the domain boundary.By comparing simulation results with theory and the experimental data, we show that the method produces physically accurate results.We also present numerical experiments to demonstrate the long-term stability of the method in situations where large density contrast, large viscosity contrast, and backflows occur at the two-phase open boundaries.

View Article: PubMed Central - PubMed

Affiliation: Center for Computational & Applied Mathematics, Department of Mathematics, Purdue University, West Lafayette, Indiana, United States of America.

ABSTRACT
Two-phase outflows refer to situations where the interface formed between two immiscible incompressible fluids passes through open portions of the domain boundary. We present several new forms of open boundary conditions for two-phase outflow simulations within the phase field framework, as well as a rotational pressure correction based algorithm for numerically treating these open boundary conditions. Our algorithm gives rise to linear algebraic systems for the velocity and the pressure that involve only constant and time-independent coefficient matrices after discretization, despite the variable density and variable viscosity of the two-phase mixture. By comparing simulation results with theory and the experimental data, we show that the method produces physically accurate results. We also present numerical experiments to demonstrate the long-term stability of the method in situations where large density contrast, large viscosity contrast, and backflows occur at the two-phase open boundaries.

No MeSH data available.


Related in: MedlinePlus

Configuration of the air jet in water problem.
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pone.0154565.g008: Configuration of the air jet in water problem.

Mentions: Specifically, we consider the flow domain shown in Fig 8, and , where L = 3cm. The bottom of the domain is a solid wall, while the other three sides (top, left and right) are all open, where the fluid can freely leave or enter the domain. The domain is initially filled with water, and the gravity is along the vertical direction pointing downward. The bottom wall has an orifice in its center, with a diameter d = 6mm. A stream of air is continuously injected into the domain through the orifice. The air velocity has a parabolic profile at the orifice, with a centerline value U0 = 17.3cm/s. The bottom wall has a neutral wettability, that is, if the air-water interface intersects the wall the contact angle would be 90°. Our objective is to simulate and study the long-time behavior of this system.


A Rotational Pressure-Correction Scheme for Incompressible Two-Phase Flows with Open Boundaries.

Dong S, Wang X - PLoS ONE (2016)

Configuration of the air jet in water problem.
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4862665&req=5

pone.0154565.g008: Configuration of the air jet in water problem.
Mentions: Specifically, we consider the flow domain shown in Fig 8, and , where L = 3cm. The bottom of the domain is a solid wall, while the other three sides (top, left and right) are all open, where the fluid can freely leave or enter the domain. The domain is initially filled with water, and the gravity is along the vertical direction pointing downward. The bottom wall has an orifice in its center, with a diameter d = 6mm. A stream of air is continuously injected into the domain through the orifice. The air velocity has a parabolic profile at the orifice, with a centerline value U0 = 17.3cm/s. The bottom wall has a neutral wettability, that is, if the air-water interface intersects the wall the contact angle would be 90°. Our objective is to simulate and study the long-time behavior of this system.

Bottom Line: Two-phase outflows refer to situations where the interface formed between two immiscible incompressible fluids passes through open portions of the domain boundary.By comparing simulation results with theory and the experimental data, we show that the method produces physically accurate results.We also present numerical experiments to demonstrate the long-term stability of the method in situations where large density contrast, large viscosity contrast, and backflows occur at the two-phase open boundaries.

View Article: PubMed Central - PubMed

Affiliation: Center for Computational & Applied Mathematics, Department of Mathematics, Purdue University, West Lafayette, Indiana, United States of America.

ABSTRACT
Two-phase outflows refer to situations where the interface formed between two immiscible incompressible fluids passes through open portions of the domain boundary. We present several new forms of open boundary conditions for two-phase outflow simulations within the phase field framework, as well as a rotational pressure correction based algorithm for numerically treating these open boundary conditions. Our algorithm gives rise to linear algebraic systems for the velocity and the pressure that involve only constant and time-independent coefficient matrices after discretization, despite the variable density and variable viscosity of the two-phase mixture. By comparing simulation results with theory and the experimental data, we show that the method produces physically accurate results. We also present numerical experiments to demonstrate the long-term stability of the method in situations where large density contrast, large viscosity contrast, and backflows occur at the two-phase open boundaries.

No MeSH data available.


Related in: MedlinePlus