A computational method for three-dimensional, internal viscous flows with separation and secondary flow patterns
A computational method to solve the three-dimensional Navier-Stokes equations for internal, incompressible, Newtonian fluids is presented. Since these equations are difficult to solve analytically, a numerical approach is employed. To use this approach a suitable treatment of the complex geometry is required, and a proper numerical technique to solve the flow equations is needed. A curvilinear coordinate system is employed to solve the problem of geometry, where an algebraic grid-generation technique is used to generate the complex 3D shape. A systematic algebraic procedure to construct grids for 2D and 3D internal flow geometries is presented. The 3D geometry is decomposed into different parts depending on the topology of the configuration. The flow equations are written in the new coordinates, and a space-marching method is designed to integrate the Navier-Stokes equations for steady incompressible viscous fluids for arbitrary 3D internal flow geometries. A new pressure-correction equation is developed and used to correct the pressure, and then the velocities,locally at each marching station. A numerical procedure based on this equation is used to sweep the entire domain in a stationwise manner.
- Research Organization:
- Georgia Univ., Athens, GA (USA)
- OSTI ID:
- 5206168
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
420400* -- Engineering-- Heat Transfer & Fluid Flow
COORDINATES
CURVILINEAR COORDINATES
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
INCOMPRESSIBLE FLOW
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PRESSURE EFFECTS
THREE-DIMENSIONAL CALCULATIONS
VISCOUS FLOW