scholarly journals A Bi-Projection Method for Incompressible Bingham Flows with Variable Density, Viscosity, and Yield Stress

2018 ◽  
Vol 56 (4) ◽  
pp. 2461-2483
Author(s):  
Rénald Chalayer ◽  
Laurent Chupin ◽  
Thierry Dubois
2003 ◽  
Vol 44 (6) ◽  
pp. 553-574 ◽  
Author(s):  
Ming-Jiu Ni ◽  
Mohamed Abdou ◽  
Satoru Komori

Author(s):  
F. N. Fard ◽  
B. Lessani

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.


1998 ◽  
Vol 142 (1) ◽  
pp. 1-46 ◽  
Author(s):  
Ann S. Almgren ◽  
John B. Bell ◽  
Phillip Colella ◽  
Louis H. Howell ◽  
Michael L. Welcome

1992 ◽  
Vol 101 (2) ◽  
pp. 334-348 ◽  
Author(s):  
John B Bell ◽  
Daniel L Marcus

1997 ◽  
Vol 130 (2) ◽  
pp. 269-282 ◽  
Author(s):  
Elbridge Gerry Puckett ◽  
Ann S. Almgren ◽  
John B. Bell ◽  
Daniel L. Marcus ◽  
William J. Rider

2016 ◽  
Vol 354 (11) ◽  
pp. 1124-1131 ◽  
Author(s):  
Philippe Angot ◽  
Jean-Paul Caltagirone ◽  
Pierre Fabrie

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