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ALE-FEM based simulation of Free surface Incompressible fluid flows.

The Free surface Flow of an incompressible fluid in a tank is resolved by solving incompressible Navier Stokes Equation using ALE-Based FEM in ParMooN.

Scenario 1:

Reynolds Number = 10 - Coarse Mesh

VELOCITY and MESH PARAMETERS
N_DOF Mesh 729
N_Cells 512
Dof velocity 14739
Dof pressure 729
Dof all 15468
FREE SURFACE and FREE SLIP PARAMETERS
Free Surface Nodes 32
FreeSlip Nodes 161
FE DETAILS
FE Element Pair used Q2/Q1 (HexaHedral Conforming)
Time Stepping Scheme Fractional Step Theta Scheme
Time Step 0.1 Seconds (t = 0 to 10 seconds)
OTHER DETAILS
Solver Intel MKL Pardiso
FE Solver ParMooN

Reynolds Number = 50 - Fine Mesh

VELOCITY and MESH PARAMETERS
N_DOF Mesh 4913
N_Cells 4096
Dof velocity 107811
Dof pressure 4913
Dof all 112724
FREE SURFACE and FREE SLIP PARAMETERS
Free Surface Nodes 64
FreeSlip Nodes 705
FE DETAILS
FE Element Pair used Q2/Q1 (HexaHedral Conforming)
Time Stepping Scheme Fractional Step Theta Scheme
Time Step 0.1 Seconds (t = 0 to 2 seconds)
OTHER DETAILS
Solver Intel MKL Pardiso
FE Solver ParMooN

Comment : As seen from Simulation, Due to High reynolds number, the mesh on the surface started collapsing with one another after some time steps. The Collapse of the vertices has to be taken care of by some other mesh optimisation method.

Scenario 2

Reynolds Number = 10 - Coarse Mesh

VELOCITY and MESH PARAMETERS
N_DOF Mesh 729
N_Cells 512
Dof velocity 14739
Dof pressure 729
Dof all 15468
FREE SURFACE and FREE SLIP PARAMETERS
Free Surface Nodes 32
FreeSlip Nodes 161
FE DETAILS
FE Element Pair used Q2/Q1 (HexaHedral Conforming)
Time Stepping Scheme Fractional Step Theta Scheme
Time Step 0.1 Seconds (t = 0 to 20 seconds)
OTHER DETAILS
Solver Intel MKL Pardiso
FE Solver ParMooN

Reynolds Number = 20 - Fine Mesh

VELOCITY and MESH PARAMETERS
N_DOF Mesh 4913
N_Cells 4096
Dof velocity 107811
Dof pressure 4913
Dof all 112724
FREE SURFACE and FREE SLIP PARAMETERS
Free Surface Nodes 64
FreeSlip Nodes 705
FE DETAILS
FE Element Pair used Q2/Q1 (HexaHedral Conforming)
Time Stepping Scheme Fractional Step Theta Scheme
Time Step 0.1 Seconds (t = 0 to 20 seconds)
OTHER DETAILS
Solver Intel MKL Pardiso
FE Solver ParMooN

Scenario 3

Reynolds Number = 50 - Fine Mesh

VELOCITY and MESH PARAMETERS
N_DOF Mesh 4913
N_Cells 4096
Dof velocity 107811
Dof pressure 4913
Dof all 112724
FREE SURFACE and FREE SLIP PARAMETERS
Free Surface Nodes 64
FreeSlip Nodes 705
FE DETAILS
FE Element Pair used Q2/Q1 (HexaHedral Conforming)
Time Stepping Scheme Fractional Step Theta Scheme
Time Step 0.1 Seconds (t = 0 to 20 seconds)
OTHER DETAILS
Solver Intel MKL Pardiso
FE Solver ParMooN
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