NESC0755 VARR2
VARR2 VARRLXSG, 2-D Transient Fluid Flow and Heat Transfer in X-Y and Cylindrical Geometry
NAME OR DESIGNATION OF PROGRAM, COMPUTER, DESCRIPTION OF PROBLEM OR FUNCTION, METHOD OF SOLUTION, RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM, TYPICAL RUNNING TIME, UNUSUAL FEATURES OF THE PROGRAM, RELATED AND AUXILIARY PROGRAMS, STATUS, REFERENCES, MACHINE REQUIREMENTS, LANGUAGE, OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED, OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS, NAME AND ESTABLISHMENT OF AUTHORS, MATERIAL, CATEGORIES
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| Program name | Package id | Status | Status date |
|---|---|---|---|
| VARR2 | NESC0755/01 | Tested | 01-APR-1980 |
Machines used:
| Package ID | Orig. computer | Test computer |
|---|---|---|
| NESC0755/01 | CDC 7600 | CDC 7600 |
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3. DESCRIPTION OF PROBLEM OR FUNCTION
VARR2 is a two-dimensional
transient slightly-compressible fluid dynamics program. It solves
the complete unsteady Navier-Stokes equation, the energy equation,
and the continuity equation in either Cartesian or axisymmetric
cylindrical geometry. Slight density variations are accounted for
by use of the Boussinesq approximation, which couples the energy
and momentum equations. At a cell face, the normal velocity
component may be inward, outward, or zero; the tangential velocity
component may specify free slip, no slip, or no slip with a
turbulent velocity profile. For heat transfer problems, adiabatic
or constant heat flux boundary conditions can be specified. By
specifying the totality of cell-face boundary conditions in a
self-consistent manner, the user can specify a wide spectrum of
overall boundary conditions; for example, those called rigid,
continuative, periodic, inflow/outflow, or derived.
VARR2 is a two-dimensional
transient slightly-compressible fluid dynamics program. It solves
the complete unsteady Navier-Stokes equation, the energy equation,
and the continuity equation in either Cartesian or axisymmetric
cylindrical geometry. Slight density variations are accounted for
by use of the Boussinesq approximation, which couples the energy
and momentum equations. At a cell face, the normal velocity
component may be inward, outward, or zero; the tangential velocity
component may specify free slip, no slip, or no slip with a
turbulent velocity profile. For heat transfer problems, adiabatic
or constant heat flux boundary conditions can be specified. By
specifying the totality of cell-face boundary conditions in a
self-consistent manner, the user can specify a wide spectrum of
overall boundary conditions; for example, those called rigid,
continuative, periodic, inflow/outflow, or derived.
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4. METHOD OF SOLUTION
The governing differential equations are
replaced by finite difference equations of explicit type and
solved over a region of fixed rectangular cells by using the
simplified marker and cell technique (SMAC) of Amsden and Harlow.
The continuity equation is solved through a successive over-
relaxation (SOR) iterative process on a Poisson equation for
pressure.
The governing differential equations are
replaced by finite difference equations of explicit type and
solved over a region of fixed rectangular cells by using the
simplified marker and cell technique (SMAC) of Amsden and Harlow.
The continuity equation is solved through a successive over-
relaxation (SOR) iterative process on a Poisson equation for
pressure.
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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM
With current
dimensioning, the maximum number of cells is about 1600; roughly a
40 x 40 mesh. The problem geometry must be reasonably
approximated by a two-dimensional net of rectangular cells, either
in Cartesian geometry or transformed from axisymmetric cylindrical
geometry. Interior obstacles are allowed. The working fluid may
be specified as either sodium or water if the built-in material
property coefficients are used. Otherwise, the properties of the
working fluid may be entered as part of the problem input.
With current
dimensioning, the maximum number of cells is about 1600; roughly a
40 x 40 mesh. The problem geometry must be reasonably
approximated by a two-dimensional net of rectangular cells, either
in Cartesian geometry or transformed from axisymmetric cylindrical
geometry. Interior obstacles are allowed. The working fluid may
be specified as either sodium or water if the built-in material
property coefficients are used. Otherwise, the properties of the
working fluid may be entered as part of the problem input.
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7. UNUSUAL FEATURES OF THE PROGRAM
VARR2 is especially suited to
the study of turbulent flows. The program solves the transport
equations for the turbulence kinetic energy and the turbulence
kinematic viscosity. These quantities are then coupled into the
momentum and energy transport equations. The very high velocity
gradients encountered in turbulent flows at rigid walls are
represented by analytic functions to ensure that the correct wall
shear stress will be predicted.
VARR2 is especially suited to
the study of turbulent flows. The program solves the transport
equations for the turbulence kinetic energy and the turbulence
kinematic viscosity. These quantities are then coupled into the
momentum and energy transport equations. The very high velocity
gradients encountered in turbulent flows at rigid walls are
represented by analytic functions to ensure that the correct wall
shear stress will be predicted.
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10. REFERENCES
James L. Cook and Paul I. Nakayama, VARR II - A
Computer Program for Calculating Turbulent Fluid Flows with Slight
Density Variation, CRBRP-ARD-0106, Vols. 1, 2, and 3, November
1976. (WARD-D-0106 has identical contents.)
W-ARD Addendum, August 1975.
SD 4060 Stored Program Recording System, Programmer's
Reference Manual for the Integrated Graphics Software System
(I.G.S.), Vol. 2, October 1976.
Argonne Code Center Note 78-24, May 24, 1978.
James L. Cook and Paul I. Nakayama, VARR II - A
Computer Program for Calculating Turbulent Fluid Flows with Slight
Density Variation, CRBRP-ARD-0106, Vols. 1, 2, and 3, November
1976. (WARD-D-0106 has identical contents.)
W-ARD Addendum, August 1975.
SD 4060 Stored Program Recording System, Programmer's
Reference Manual for the Integrated Graphics Software System
(I.G.S.), Vol. 2, October 1976.
Argonne Code Center Note 78-24, May 24, 1978.
NESC0755/01, included references:
- J.L. Cook and P.I. Nakayama:VARR II - A Computer Program for Calculating Turbulent Fluid Flows
with Slight Density Variation
CRBRP-ARD-0106, Vol. 1 (November 1976)
- J.L. Cook and P.I. Nakayama:
Appendix A - Flow Diagram for the VARR II Program
CRBRP-ARD-0106, Vol. 2 (November 1976)
- J.L. Cook and P.I. Nakayama:
Appendix B - Fortran IV Index Listing of the VARR II Program
CRBRP-ARD-0106, Vol. 3 (November 1976)
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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS
It is
assumed that the operating system will zero the memory before
overlay generation and before each execution. To achieve a
significant increase in the number of mesh points available, it
probably will be necessary to place more arrays in LCM. Reference
to LCM is by Level 2 declarations. The Integrated Graphics System
plotting software is included with the program. The plotting
software probably will not be useful unless a SD-4060 system is
available.
It is
assumed that the operating system will zero the memory before
overlay generation and before each execution. To achieve a
significant increase in the number of mesh points available, it
probably will be necessary to place more arrays in LCM. Reference
to LCM is by Level 2 declarations. The Integrated Graphics System
plotting software is included with the program. The plotting
software probably will not be useful unless a SD-4060 system is
available.
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NESC0755/01
| File name | File description | Records |
|---|---|---|
| NESC0755_01.001 | SOURCE (EBCDIC) | 3133 |
| NESC0755_01.002 | SOURCE (EBCDIC) | 97 |
| NESC0755_01.003 | SOURCE (EBCDIC) | 17 |
| NESC0755_01.004 | SOURCE (EBCDIC) | 71 |
| NESC0755_01.005 | SOURCE (EBCDIC) | 8791 |
| NESC0755_01.006 | SOURCE (EBCDIC) | 1479 |
| NESC0755_01.007 | INPUT FOR S.P. | 50 |
| NESC0755_01.008 | AUXILIARY PROGRAM/INFO | 2579 |
| NESC0755_01.009 | AUXILIARY PROGRAM/INFO | 61 |
| NESC0755_01.010 | OUTPUT OF S.P. | 5197 |
| NESC0755_01.011 | JCL,INFORMATION | 46 |
Keywords: Boussinesq approximation, Navier-Stokes equation, cylinders, finite difference method, fluid flow, fuel assemblies, heat transfer, hydrodynamics, transients, turbulence, turbulent flow, two-dimensional.