1. A Consistent Projection Method for Multi-Fluid Flows with Continuous Surface Force on a Collocated Mesh.
- Author
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Ni, M. J.
- Subjects
- *
NAVIER-Stokes equations , *FLUID dynamics , *MULTIPHASE flow , *ALGORITHMS , *PARTIAL differential equations , *NUMERICAL analysis - Abstract
A comparison study of algorithm on a rectangular collocated mesh is conducted for variable density Navier-Stokes equations with continuous surface forces. The algorithms include the original projection method (AI-TI) with the surface force calculated only in the predictor steps, the named balanced-force projection method (AII-TIV) with the surface force and the pressure gradient calculated together, and a consistent projection method (AIII-TVII) developed in this paper. Detailed comparisons are also conducted among the techniques for calculation of the pressure gradient and surface force at a cell center. A consistent projection method updates the velocity at a cell center in a very difference way with the balanced-force projection formula. A conservative interpolation is used to update the velocity a cell center, which is further used to obtain the sum of the pressure gradient and the surface force. [ABSTRACT FROM AUTHOR]
- Published
- 2010
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