scholarly journals A Kinematics Scalar Projection Method (KSP) for Incompressible Flows with Variable Density

2015 ◽  
Vol 05 (02) ◽  
pp. 171-182 ◽  
Author(s):  
Jean-Paul Caltagirone ◽  
Stéphane Vincent
Keyword(s):  
Projection Method ◽  
Incompressible Flows ◽  
Variable Density

A High-Order Projection Method for Tracking Fluid Interfaces in Variable Density Incompressible Flows

1997 ◽  
Vol 130 (2) ◽  
pp. 269-282 ◽  
Author(s):  
Elbridge Gerry Puckett ◽  
Ann S. Almgren ◽  
John B. Bell ◽  
Daniel L. Marcus ◽  
William J. Rider
Keyword(s):  
Projection Method ◽  
Incompressible Flows ◽  
Variable Density ◽  
High Order ◽  
Fluid Interfaces

scholarly journals A VARIABLE-DENSITY PROJECTION METHOD FOR INTERFACIAL FLOWS

2003 ◽  
Vol 44 (6) ◽  
pp. 553-574 ◽  
Author(s):  
Ming-Jiu Ni ◽  
Mohamed Abdou ◽  
Satoru Komori
Keyword(s):  
Projection Method ◽  
Variable Density ◽  
Interfacial Flows

scholarly journals A numerical study of a variable-density low-speed turbulent mixing layer

2017 ◽  
Vol 830 ◽  
pp. 569-601 ◽  
Author(s):  
Antonio Almagro ◽  
Manuel García-Villalba ◽  
Oscar Flores
Keyword(s):  
Growth Rate ◽  
Mach Number ◽  
Incompressible Flows ◽  
Numerical Study ◽  
Density Ratio ◽  
Mixing Layer ◽  
Variable Density ◽  
The Self ◽  
Low Speed ◽  
Self Similar

Direct numerical simulations of a temporally developing, low-speed, variable-density, turbulent, plane mixing layer are performed. The Navier–Stokes equations in the low-Mach-number approximation are solved using a novel algorithm based on an extended version of the velocity–vorticity formulation used by Kim et al. (J. Fluid Mech., vol 177, 1987, 133–166) for incompressible flows. Four cases with density ratios $s=1,2,4$ and 8 are considered. The simulations are run with a Prandtl number of 0.7, and achieve a $Re_{\unicode[STIX]{x1D706}}$ up to 150 during the self-similar evolution of the mixing layer. It is found that the growth rate of the mixing layer decreases with increasing density ratio, in agreement with theoretical models of this phenomenon. Comparison with high-speed data shows that the reduction of the growth rates with increasing density ratio has a weak dependence with the Mach number. In addition, the shifting of the mixing layer to the low-density stream has been characterized by analysing one-point statistics within the self-similar interval. This shifting has been quantified, and related to the growth rate of the mixing layer under the assumption that the shape of the mean velocity and density profiles do not change with the density ratio. This leads to a predictive model for the reduction of the growth rate of the momentum thickness, which agrees reasonably well with the available data. Finally, the effect of the density ratio on the turbulent structure has been analysed using flow visualizations and spectra. It is found that with increasing density ratio the longest scales in the high-density side are gradually inhibited. A gradual reduction of the energy in small scales with increasing density ratio is also observed.

A Time-Accurate Projection Method for Low-Mach Number Variable Density Flows in Curvilinear Grids

2009 ◽  
Author(s):  
F. N. Fard ◽  
B. Lessani
Keyword(s):  
Mach Number ◽  
Turbulent Flows ◽  
Projection Method ◽  
Time Integration ◽  
Variable Density ◽  
Integration Scheme ◽  
Coordinate Systems ◽  
Low Mach Number ◽  
Curvilinear Coordinate ◽  
Time Integration Scheme

A time-accurate numerical algorithm is proposed for low Mach number variable density flows in curvilinear coordinate systems. In order to increase the stability of the method, a predictor-corrector time integration scheme, coupled with the projection method, is employed. The projection method results in a constant-coefficient Poisson equation for the pressure in both the predictor and corrector steps. The continuity equation is fully satisfied at each step. To prevent the pressure odd-even decoupling typically encountered in collocated grids, a flux interpolation technique is developed. The spatial discretization method offers computational simplicity and straightforward extension to 3D curvilinear coordinate systems, which are essential in the simulation of turbulent flows in complex geometries. The accuracy and stability of the algorithm are tested with a series of numerical experiments, and the results are validated against the available data in the literature.

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