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Two Calculation Procedures for Steady, Three-Dimensional Flows with Recirculation.

N7322238

Publication Date	1972
Personal Author	Caretto, L. S.; Gosman, A. D.; Patankar, S. V.; Spalding, D. B.
Page Count	26
Abstract	Two procedures are described for solving the Navier-Stokes equations for steady, fully three-dimensional flows: both are extensions of earlier methods devised for three-dimensional boundary layers. The procedures differ in their manner of solving the difference equations. The SIVA (for simultaneous variable adjustment) procedure, which is fully-implicit, uses a combination of algebraic elimination and point-successive substitution, wherein simultaneous adjustments are made to a point pressure, and the six surrounding velocities, such that the equations for mass and (linearized) momentum are locally satisfied. The SIMPLE (for semi-implicit method for pressure-linked equations) method proceeds in a successive guess-and-correct fashion. Each cycle of iteration entails the calculation of an intermediate velocity field which satisfies the linearized momentum equations for a guessed pressure distribution: then the mass conservation principle is invoked to adjust the velocities and pressures, such that all of the equations are in balance. (Author)
Keywords	Navier-stokes equation Three dimensional flow Difference equations Linear equations Pressure distribution Three dimensional boundary layer
Source Agency	National Aeronautics and Space Administration
NTIS Subject Category	46B - Fluid Mechanics
Corporate Authors	Imperial Coll. of Science and Technology, London (England). Dept. of Mechanical Engineering.
Document Type	Technical Report
NTIS Issue Number	197315

Two Calculation Procedures for Steady, Three-Dimensional Flows with Recirculation.

Two Calculation Procedures for Steady, Three-Dimensional Flows with Recirculation.
N7322238

Publication Date	1972
Personal Author	Caretto, L. S.; Gosman, A. D.; Patankar, S. V.; Spalding, D. B.
Page Count	26
Abstract	Two procedures are described for solving the Navier-Stokes equations for steady, fully three-dimensional flows: both are extensions of earlier methods devised for three-dimensional boundary layers. The procedures differ in their manner of solving the difference equations. The SIVA (for simultaneous variable adjustment) procedure, which is fully-implicit, uses a combination of algebraic elimination and point-successive substitution, wherein simultaneous adjustments are made to a point pressure, and the six surrounding velocities, such that the equations for mass and (linearized) momentum are locally satisfied. The SIMPLE (for semi-implicit method for pressure-linked equations) method proceeds in a successive guess-and-correct fashion. Each cycle of iteration entails the calculation of an intermediate velocity field which satisfies the linearized momentum equations for a guessed pressure distribution: then the mass conservation principle is invoked to adjust the velocities and pressures, such that all of the equations are in balance. (Author)
Keywords	Navier-stokes equation Three dimensional flow Difference equations Linear equations Pressure distribution Three dimensional boundary layer
Source Agency	National Aeronautics and Space Administration
NTIS Subject Category	46B - Fluid Mechanics
Corporate Authors	Imperial Coll. of Science and Technology, London (England). Dept. of Mechanical Engineering.
Document Type	Technical Report
NTIS Issue Number	197315