## OpenFoam Simulation of Flow through a Backward Facing Step

Problem  SetUp:

Velocity  =  0.05  m/sec

Start  Time  =  0  sec

End  Time  =  1  sec

delta  Time  for  0.2  Graded  Mesh  =  0.00001  sec

delta  Time  for  0.5  Graded  Mesh  =  0.0001  sec

delta  Time  for  0.8  Graded  Mesh  =  0.0001  sec

Number of Cells in X direction  (Longer  Dimension =  200

Number of Cells in Y direction  (Each  Block =  10

OpenFoam  Solver  =  icoFoam

CONTOURS  Obtained:

Velocity  Distribution  without  Mesh:

Velocity  Distribution  with  Mesh:

Velocity  Distribution   without  Mesh:

Velocity  Distribution  with  Mesh:

Velocity  Distribution  without  Mesh:

Velocity  Distribution   with  Mesh:

PLOT  of  Velocity  Variation  @  0.085  m  from  Inlet  (for  different  Graded  Mesh):

CFL  Number:

Mean  Courant  Number  for  0.2  Graded  Mesh:  0.000325646

Mean  Courant  Number  for  0.5  Graded  Mesh:  0.00326564

Mean  Courant  Number  for  0.8  Graded  Mesh:  0.00327031

CONCLUSION:

NB:   CFL=(Velocitytimes dt)/(trianglex)

   The CFL numbers for Convergence are different for all the three Graded Mesh Simulations. For 0.2 Graded Mesh, simulation converges at delta time  =  0.00001 sec. But for 0.5 and 0.8 Graded Meshes, convergence delta time is 0.0001 sec.

OBSERVATION:

=> (delta time of 0.2 Graded Mesh) < (delta time of 0.5 Graded Mesh)=(delta time of 0.8 Graded Mesh)

So, 0.8 Graded Mesh Simulation converges at the fastest rate among all the three Graded Mesh Simulations.

Again from the above Plot, we can conclude --> Velocity Distributions are almost same for all the Graded Mesh.

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