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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 for the capillary wave problem.
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pone.0154565.g002: Configuration for the capillary wave problem.

Mentions: Specifically, we consider a computational domain as depicted in Fig 2 (non-dimensionalized), 0 ⩽ x ⩽ 1 and −1 ⩽ y ⩽ 1. The un-perturbed equilibrium position of the fluid interface coincides with the x-axis. We assume that the initial perturbation profile of the interface is given by y = H0 cos kx, where and λw = 1 is the wave length of the perturbation profile, and H0 = 0.01 is the initial amplitude. Note that the capillary wave-length λw is chosen to be the same as the domain dimension in the x direction, and that the initial capillary amplitude H0 is small compared to the domain dimension in the y direction.


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

Dong S, Wang X - PLoS ONE (2016)

Configuration for the capillary wave problem.
© Copyright Policy
Related In: Results  -  Collection

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

pone.0154565.g002: Configuration for the capillary wave problem.
Mentions: Specifically, we consider a computational domain as depicted in Fig 2 (non-dimensionalized), 0 ⩽ x ⩽ 1 and −1 ⩽ y ⩽ 1. The un-perturbed equilibrium position of the fluid interface coincides with the x-axis. We assume that the initial perturbation profile of the interface is given by y = H0 cos kx, where and λw = 1 is the wave length of the perturbation profile, and H0 = 0.01 is the initial amplitude. Note that the capillary wave-length λw is chosen to be the same as the domain dimension in the x direction, and that the initial capillary amplitude H0 is small compared to the domain dimension in the y direction.

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