Simulation Of Backward Facing Step using OpenFOAM
Simulation of a backward facing step in OpenFOAM
AIM: To simulate incompressible laminar viscous flow through the backward facing step geometry.
Introduction: In this challenge, the flow through backward facing step has been simulated isung icoFOAM solver which is performed in OPENFOAM software. As a result if the simulation, velocity, pressure profile for different mesh grading factor can be achieved. The dimensions of a given backward facing step is below. And simulate the flow with different garding factor.
Nature of flow: Incompressible flow
Block Mesh specification:
Number of blocks = 5
Arrangement of blocks is as follow:
To understand it more clearly take a look at figure below:
Mesh Specification:
- Numbetr of cells along the X-direction(longer dimension) = 200
- Number of cells along the y-direction = 10
Desired Output:
- Run the first simulation without grading factor
- Run thesecond simulation with mesh grading factor of 0.2, 0.5, 0.8. Compare the effect of grading factor with necessary contour & plots.
- Measure the velocity profile at 0.085m from the inlet of the geometry with a line plot.
- Compare velocity magnitude contour near the step region for the above menstioned garding factors.
OpenFoam Code for creating given geometry using BlockMesh
/*--------------------------------*- C++ -*----------------------------------*
========= |
\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\ / O peration | Website: https://openfoam.org
\ / A nd | Version: 8
\/ M anipulation |
*---------------------------------------------------------------------------*/
FoamFile
{
version 2.0;
format ascii;
class dictionary;
object blockMeshDict;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
convertToMeters 1;
vertices
(
(0 0 0) //0
(0.08 0 0) //1
(0.08 0.005 0) //2
(0 0.005 0) //3
(0.08 0.01 0) //4
(0 0.01 0) //5
(0.2 0.01 0) //6
(0.2 0.005 0) //7
(0.2 0 0) //8
(0.2 -0.01 0) //9
(0.08 -0.01 0) //10
(0 0 0.001) //11
(0.08 0 0.001) //12
(0.08 0.005 0.001) //13
(0 0.005 0.001) //14
(0.08 0.01 0.001) //15
(0 0.01 0.001) //16
(0.2 0.01 0.001) //17
(0.2 0.005 0.001) //18
(0.2 0 0.001) //19
(0.2 -0.01 0.001) //20
(0.08 -0.01 0.001) // 21
);
blocks
(
hex (0 1 2 3 11 12 13 14) (80 5 1) simpleGrading (0.2 5 1)
hex (3 2 4 5 14 13 15 16) (80 5 1) simpleGrading (0.2 0.2 1)
hex (2 7 6 4 13 18 17 15) (120 5 1) simpleGrading (5 0.2 1)
hex (1 8 7 2 12 19 18 13) (120 5 1) simpleGrading (5 5 1)
hex (10 9 8 1 21 20 19 12) (120 10 1) simpleGrading (5 5 1)
);
edges
(
);
boundary
(
inlet
{
type patch;
faces
(
(0 11 14 3)
(3 14 16 5)
);
}
outlet
{
type patch;
faces
(
(9 8 19 20)
(8 7 18 19)
(7 6 17 18)
);
}
upperwalls
{
type wall;
faces
(
(5 16 15 4)
(4 15 17 6)
);
}
lowerwalls
{
type wall;
faces
(
(0 1 12 11)
(10 9 20 21)
(10 21 12 1)
);
}
frontAndBack
{
type empty;
faces
(
(3 2 1 0)
(5 4 2 3)
(4 6 7 2)
(2 7 8 1)
(1 8 9 10)
(11 12 13 14)
(14 13 15 16)
(13 18 17 15)
(12 19 18 13)
(21 20 19 12)
);
}
);
mergePatchPairs
(
);
// ************************************************************************* //In the above code code, inlet,outlet,upperwall,lowerwall,FrontAndback are user definied faces for creating boundary conditions.
Time-step Definition:
Run time t= 50 s
Time-step size dt = 0.0005 s
/*--------------------------------*- C++ -*----------------------------------*
========= |
\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\ / O peration | Website: https://openfoam.org
\ / A nd | Version: 8
\/ M anipulation |
*---------------------------------------------------------------------------*/
FoamFile
{
version 2.0;
format ascii;
class dictionary;
location "system";
object controlDict;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
application icoFoam;
startFrom startTime;
startTime 0;
stopAt endTime;
endTime 0.5;
deltaT 0.0005;
writeControl timeStep;
writeInterval 20;
purgeWrite 0;
writeFormat ascii;
writePrecision 6;
writeCompression off;
timeFormat general;
timePrecision 6;
runTimeModifiable true;
// ************************************************************************* //Boundary Conditions
Velocity for user defined faces.
/*--------------------------------*- C++ -*----------------------------------*
========= |
\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\ / O peration | Website: https://openfoam.org
\ / A nd | Version: 8
\/ M anipulation |
*---------------------------------------------------------------------------*/
FoamFile
{
version 2.0;
format ascii;
class volVectorField;
object U;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
dimensions [0 1 -1 0 0 0 0];
internalField uniform (0 0 0);
boundaryField
{
inlet
{
type fixedValue;
value uniform (1 0 0);
}
outlet
{
type zeroGradient;
}
upperwalls
{
type noSlip;
}
lowerwalls
{
type noSlip;
}
frontAndBack
{
type empty;
}
}
// ************************************************************************* //Pressure for user defined faces.
/*--------------------------------*- C++ -*----------------------------------*
========= |
\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\ / O peration | Website: https://openfoam.org
\ / A nd | Version: 8
\/ M anipulation |
*---------------------------------------------------------------------------*/
FoamFile
{
version 2.0;
format ascii;
class volScalarField;
object p;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
dimensions [0 2 -2 0 0 0 0];
internalField uniform 0;
boundaryField
{
inlet
{
type zeroGradient;
}
outlet
{
type fixedValue;
value uniform 0;
}
upperwalls
{
type zeroGradient;
}
lowerwalls
{
type zeroGradient;
}
frontAndBack
{
type empty;
}
}
// ************************************************************************* //Kinematic viscosity of working fluid(Air) = 1.48e-5 m2sm2s
/*--------------------------------*- C++ -*----------------------------------*
========= |
\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\ / O peration | Website: https://openfoam.org
\ / A nd | Version: 8
\/ M anipulation |
*---------------------------------------------------------------------------*/
FoamFile
{
version 2.0;
format ascii;
class dictionary;
location "constant";
object transportProperties;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
nu [0 2 -1 0 0 0 0] 1.48e-5;
// ************************************************************************* //Mesh Grading Factor(MGF)
It is used to strech the mesh in particular axis. For our challenge, we are using 0.2, 0.5 and 0.8 as our grading factors.
OpenFoam Code for creating the mesh with MGF =0.2
blocks
(
hex (0 1 2 3 11 12 13 14) (80 5 1) simpleGrading (0.2 5 1)
hex (3 2 4 5 14 13 15 16) (80 5 1) simpleGrading (0.2 0.2 1)
hex (2 7 6 4 13 18 17 15) (120 5 1) simpleGrading (5 0.2 1)
hex (1 8 7 2 12 19 18 13) (120 5 1) simpleGrading (5 5 1)
hex (10 9 8 1 21 20 19 12) (120 10 1) simpleGrading (5 5 1)
);The geometry after meshing,
OpenFoam code for creating mesh with MGF = 0.5
blocks
(
hex (0 1 2 3 11 12 13 14) (80 5 1) simpleGrading (0.5 2 1)
hex (3 2 4 5 14 13 15 16) (80 5 1) simpleGrading (0.5 0.5 1)
hex (2 7 6 4 13 18 17 15) (120 5 1) simpleGrading (2 0.5 1)
hex (1 8 7 2 12 19 18 13) (120 5 1) simpleGrading (2 2 1)
hex (10 9 8 1 21 20 19 12) (120 10 1) simpleGrading (2 2 1)
);The geometry after meshing
OpenFoam code for creating mesh with MGF= 0.8
blocks
(
hex (0 1 2 3 11 12 13 14) (80 5 1) simpleGrading (0.8 1.25 1)
hex (3 2 4 5 14 13 15 16) (80 5 1) simpleGrading (0.8 0.8 1)
hex (2 7 6 4 13 18 17 15) (120 5 1) simpleGrading (1.25 0.8 1)
hex (1 8 7 2 12 19 18 13) (120 5 1) simpleGrading (1.25 1.25 1)
hex (10 9 8 1 21 20 19 12) (120 10 1) simpleGrading (1.25 1.25 1)
);Geometry after meshing
Results
- Velocity profile for MGF =0.2
- Velocity profile for MGF =0.5
- Velocity profile for MGF =0.8
- Animation of flow through backward facing step
https://www.youtube.com/watch?v=unxIEspy_mk
5. Animation of flow through backward facing step(MGF = 0.5)
https://www.youtube.com/watch?v=2zR-u09_0LA
6.Animation of flow through backward facing step(MGF = 0.8)
https://www.youtube.com/watch?v=oDSf2C97kcE
Conclusion:
- By calculating Mesh Grading factor, flow quantities can be calculated at desired location. In our simulation flow quantities are calculated in more numbers of grid near to all walls.
- From the above graph it was noted that velocity profile gets smoother near the walls. In MGF = 0.2 velocity profile is smoother near the wall as compared to other MGF.
- But in MGF = 0.2 velocity profile have some sharp edges in the region other than wall. Because of the coarse mesh in this region , MGF = 0.5 & 0.8 have smootth curves.