|Program name||Package id||Status||Status date|
|Package ID||Orig. computer||Test computer|
|NESC0755/01||CDC 7600||CDC 7600|
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.
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.
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.
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.
SOLA, SOLA-SURF (http://www.oecd-nea.org/tools/abstract/detail/nesc0651/), and SOLA-ICE (http://www.oecd-nea.org/tools/abstract/detail/nesc0723/).
|Package ID||Status date||Status|
|NESC0755/01||01-APR-1980||Tested at NEADB|
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.
|Package ID||Computer language|
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.
|File name||File description||Records|
|NESC0755_01.007||INPUT FOR S.P.||50|
|NESC0755_01.010||OUTPUT OF S.P.||5197|
Keywords: Boussinesq approximation, Navier-Stokes equation, cylinders, finite difference method, fluid flow, fuel assemblies, heat transfer, hydrodynamics, transients, turbulence, turbulent flow, two-dimensional.