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A VARIABLE-DENSITY PROJECTION METHOD FOR INTERFACIAL FLOWS
 

Summary: A VARIABLE-DENSITY PROJECTION METHOD FOR
INTERFACIAL FLOWS
Ming-Jiu Ni and Mohamed Abdou
UCLA MAE Department, Los Angeles,
California, USA
Satoru Komori
Department of Mechanical Engineering, Kyoto University,
Kyoto, Japan
General second-order, variable-density, three-step and four-step projection methods are
developed to simulate unsteady incompressible interfacial flows. A high-accuracy, variable-
density RKCN projection method is presented, in which the three-stage, low-storage Runge-
Kutta technique and second-order semi-implicit Crank-Nicholson technique are employed to
temporally update the convective and diffusion terms, respectively. To reduce computation
cost, a simplified version of the projection method is also presented, in which the pressure
Poisson equation (PPE) is solved only at the last substage. The level set approach is em-
ployed to implicitly capture the interface for falling droplet flows. Three-dimensional bubble
rising flows and two-dimensional falling droplet flows in a small closed channel are studied
numerically via the present method. By the definition of the effective pressure, the flow
mechanisms for falling droplet flows with different density ratios, viscosity ratios, Weber
numbers, and Reynolds numbers are discussed.

  

Source: Abdou, Mohamed - Fusion Science and Technology Center, University of California at Los Angeles

 

Collections: Plasma Physics and Fusion