PROBLEM DEFINITION

This problem is a flow in a two-dimensional cavity. The inlet flow profile can either be uniform or parabolic. After length AL1, the cavity suddenly expands and the flow develops a recirculation until the boundary layer re-attaches and develops a parabolic profile. The geometry is illustrated below:

EXECUTABLE AND INPUT FILE

Input file (PROB.INP)

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

Both files compressed in a ZIP archive (PCSTEP.ZIP)

SAMPLE RESULTS

Simulations

Grid used in simulations (generated using ARROW)

Velocity vector field (generated using ARROW)

Streamfunction field contours (generated using ARROW)

U-velocity field contours (generated using CONTOUR)

V-velocity field contours (generated using CONTOUR)

Sample results input file (PROB.INP)

*

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

*

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

Length of small tube  [AL1]

0.0245

Length of large tube  [AL2]

0.06

Height of small tube  [HSMALL]

0.0052

Height of large tube  [HLARGE]

0.0101

X Location of abrupt expansion  [ISTEP]

10

Y Location of abrupt expansion  [JSTEP]

11

Axial velocity at inlet of flow domain  [UIN]

0.1533488 0.2300232

Parabolic or uniform inlet velocity profile  [UPARAB]

.f.

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

Cylindrical coordinate system ?  [POLAR]

.FALSE.

Number of cells in X-direction  [NI]

42

Number of cells in Y-direction  [NJ]

42

Grid expansion factor in X-direction  [FEXPX]

1.1

Grid expansion factor in Y-direction  [FEXPY]

1.0

===[ 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]

.FALSE.

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

Material Density  [DENSIT]

1.16

Laminar fluid viscosity  [VISCOS]

0.185E-4

Laminar Prandtl number  [PRANDT]

1.0

Update thermo-physical properties ?  [INPRO]

.FALSE.

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

Maximum number of iterations per time step  [MAXIT]

1250

Maximum acceptable value of residuals  [SORMAX]

5e-9

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]

0.7

Under-relaxation factor for V-equation  [URFV]

0.7

Under-relaxation factor for PP-equation  [URFP]

0.3

Under-relaxation factor for T-equation  [URFT]

1.0

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

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

2

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

30

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

Solver selection for U-equation  [ISLVU]

1

Solver selection for V-equation  [ISLVV]

1

Solver selection for PP-equation  [ISLVP]

1

Solver selection for T-equation  [ISLVT]

1

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]

5

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]

10

J-index of monitoring location  [JMON]

10

Iteration Index for field printout  [NITPRI]

50

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]

.FALSE.