PROBLEM DEFINITION

This problem is a flow in a two-dimensional (planar geometry) cavity. The cavity has 3 static walls, and the top is moving at a velocityU.We are examining the flow at steady state. The geometry is illustrated below:

EXECUTABLE AND INPUT FILE

Input file (PROB.INP)

Windows 3.x/9x/ME/2000/NT Executable (PCCAV3.EXE)

Obtain both files in a compressed package (PCCAV3.ZIP)

SAMPLE RESULTS

Simulations

Computational Grid (generated using CONTOUR):

Velocity vector field (generated using ARROW):

Streamlines (generated using ARROW):

Pressure field contours (generated using CONTOUR):

U-velocity field contours (generated using CONTOUR):

V-Velocity field contours (generated using CONTOUR):

Temperature field contours (generated using CONTOUR):

Sample results input file (PROB.INP)

*

* ===[ PARAMETER'S FILE FOR PROB ]======================================

*

===[ PROBLEM PARAMETRES ]===============================================

Width of cavity  [LBOX]

1.0

Height of cavity  [HBOX]

1.0

Velocity at lid top  [UTOP]

1.0

Top wall temp. [TTOP]

1.0

Bottom wall temp. [TBOT]

0.0

===[ GRID PARAMETERS ]==================================================

Cylindrical coordinate system ?  [POLAR]

.FALSE.

Number of cells in X-direction  [NI]

48

Number of cells in Y-direction  [NJ]

48

Grid expansion factor in X-direction  [FEXPX]

100.0

Grid expansion factor in Y-direction  [FEXPY]

100.0

===[ TIME PARAMETERS ]==================================================

.TRUE.

Number of time steps  [NT]

1

Time step size  [DT]

1.0

===[ DEPENDENT VARIABLES ]==============================================

Solve for U-equation ?  [INCALU]

.TRUE.

Solve for V-equation ?  [INCALV]

.TRUE.

Solve for PP-equation ?  [INCALP]

.TRUE.

Solve for T-equation ?  [INCALT]

.TRUE.

===[ THERMO-PHYSICAL PROPERTIES ]=======================================

Reynolds number  [REYNLD]

1e3

Grashoff number  [GRASHF]

1e6

Prandtl number  [PRANDT]

0.71

===[ TERMINATION CRITERIA FOR ITERATIONS ]==============================

Maximum number of iterations per time step  [MAXIT]

500

Maximum acceptable value of residuals  [SORMAX]

5e-3

Normalization quantity for mass residual  [SNORM]

1.0

Normalization quantity for U-momentum residual  [SNORU]

1.0

Normalization quantity for V-momentum residual  [SNORV]

1.0

Normalization quantity for T-equation residual  [SNORT]

1.0

===[ UNDER-RELAXATION ]=================================================

Under-relaxation factor for U-equation  [URFU]

0.3

Under-relaxation factor for V-equation  [URFV]

0.3

Under-relaxation factor for PP-equation  [URFP]

0.1

Under-relaxation factor for T-equation  [URFT]

0.5

===[ COORDINATES OF FIXED PRESSURE POINT ]=============================

I-index of location where pressure is fixed  [IPREF]

2

J-index of location where pressure is fixed  [JPREF]

2

===[ EQUATION SOLVER SELECTION ]========================================

Solver selection for U-equation  [ISLVU]

2

Solver selection for V-equation  [ISLVV]

2

Solver selection for PP-equation  [ISLVP]

2

Solver selection for T-equation  [ISLVT]

2

Constant used by SIM solver  [ALPHA]

0.8

===[ TERMINATION CRITERIA FOR EQUATION SOLVER ]=========================

Number of application of line iteration for U-equation  [LITERU]

3

Number of application of line iteration for V-equation  [LITERV]

3

Number of application of line iteration for PP-equation  [LITERP]

3

Number of application of line iteration for T-equation  [LITERT]

1

Maximum allowable value of solver residual sums for U  [SORU]

1.0E-6

Maximum allowable value of solver residual sums for V  [SORV]

1.0E-6

Maximum allowable value of solver residual sums for PP  [SORP]

1.0E-6

Maximum allowable value of solver residual sums for T  [SORT]

1.0E-6

===[ INPUT-OUTPUT PARAMETERS ]==========================================

I-index of monitoring location  [IMON]

25

J-index of monitoring location  [JMON]

25

Iteration Index for field printout  [NITPRI]

1000

Time Index for field printout  [NSTPRI]

1

.FALSE.

Name of restart file  [RSTFIL]

PHIDA.

Copy OUT FINAL field  [INWRIT]

.TRUE.

Name of SAVE file  [SAVFIL]

PHIDA.

Name of main output file  [OUTFIL]

RUN.OUT

Generate velocity field file ?  [INPLOT]

.TRUE.

Generate pressure field file ?  [INPRES]

.TRUE.

Generate temperature field file ?  [INTEMP]

.TRUE.