A vorticity-velocity method for the numerical solution of 3D incompressible flows

The present numerical method for the 3D Navier-Stokes equations is written in terms of vorticity-velocity, yielding advantages in the matters of primitive variables and vorticity-vector-potential variables. The solenoidality of the velocity and vorticity fields is guaranteed by the continuum equatio...

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Bibliographic Details
Published in:Journal of computational physics 1993-06, Vol.106 (2), p.286-298
Main Authors: GUJ, G, STELLA, F
Format: Article
Language:English
Subjects:
990200 > Mathematics & Computers
ALGORITHMS
Classical and quantum physics: mechanics and fields
Classical mechanics of continuous media: general mathematical aspects
COMPUTERIZED SIMULATION
DIFFERENTIAL EQUATIONS
EFFICIENCY
ENGINEERING
EQUATIONS
Exact sciences and technology
FLUID FLOW
GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
INCOMPRESSIBLE FLOW
MATHEMATICAL LOGIC
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
Physics
SIMULATION 420400 > Engineering-- Heat Transfer & Fluid Flow
THREE-DIMENSIONAL CALCULATIONS
VORTEX FLOW
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Description
Summary:The present numerical method for the 3D Navier-Stokes equations is written in terms of vorticity-velocity, yielding advantages in the matters of primitive variables and vorticity-vector-potential variables. The solenoidality of the velocity and vorticity fields is guaranteed by the continuum equations, discretization scheme, and variable location employed. The illustrative case thus treated is a 3D lid-driven cavity problem in the 400-3200 Reynolds number range. (AIAA)
ISSN:0021-9991
1090-2716
DOI:10.1006/jcph.1993.1108