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Szerkezet Es Aramlas Egymasra Hatása Hagyomanyos Modon Es Immersed-solid Modszerrel Megvalositva
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Transcript of Szerkezet Es Aramlas Egymasra Hatása Hagyomanyos Modon Es Immersed-solid Modszerrel Megvalositva
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FLUID STRUCTURE INTERACTIONSOLVED IN TRADITIONAL WAY,
AND BY IMMERSED SOLID METHOD
BUDAÖRS / 2015. 04. 23. Ákos Horváth eCon Engineering
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Fluid Structure Interaction – Modelling Approaches
3http://www.econengineering.com ANSYS felhasználói konferencia 2015 – Horváth Ákos / 2015. 04. 23.
• FSI can be categorised by the degree of physical coupling between the
fluid and solid solution fields• How sensitive is one field to a change in the other field?
• Fields that are strongly coupled
physically require strong
numerical coupling
• Generally more difficult to solve
• Solution fields that are
relatively independent can be
solved with weaker coupling or
even uncoupled (1-way)
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Motion of Rigid Body
4http://www.econengineering.com ANSYS felhasználói konferencia 2015 – Horváth Ákos / 2015. 04. 23.
• Simpler FSI approaches are possible when simplifying assumptions can be made
• If the solid moves but does not deform (rigid body), then a 6-Degree of Freedom rigid bodysolver can be used
• Rotation about 3 axes, translation along 3 axes = 6-DOF
• A 6-DOF rigid body solver is available in CFX
• This gives a 2-way explicit or implicit solution
• Depending on whether the solid body position is
updated once or multiple times per time step
• More efficient than using a full FEA solver
• No structural solution field
• Limitations
• No contact/collision modelling with walls or other rigid bodies
• Can’t be used in rotating domains
• General constraints can’t be applied
• Can’t make a translatable rigid body rotate about a point, other than its center of mass
•
Examples: Boats in waves, falling objects, valves
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Realizing Motion of Rigid Body
5http://www.econengineering.com
• Boundary motion imposed via the 6-DOF
solver results in mesh deformation
• Large displacements may result in poor
mesh quality or the mesh may collapse
•
Traditional, Mesh Resolving Approach• Mesh deformation with automatic re-meshing
• Immersed Solid Method
• Use when mesh deformation is not practical
• Fluid mesh remains stationary• Solid motion can be specified or calculated by
the 6-DOF solver
• Limited boundary layer resolution
• Single phase, incompressible only
ANSYS felhasználói konferencia 2015 – Horváth Ákos / 2015. 04. 23.
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Plate Check Valve in Oil Control Valve
6http://www.econengineering.com
• Oil Control Valve for intake/exhaust camshaft
adjustment system (phaser)
ANSYS felhasználói konferencia 2015 – Horváth Ákos / 2015. 04. 23.
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Plate Check Valve in Oil Control Valve
7http://www.econengineering.com
• Oil Control Valve for intake/exhaust camshaft
adjustment system (phaser)
ANSYS felhasználói konferencia 2015 – Horváth Ákos / 2015. 04. 23.
Check valve plate
in closed position
Linear spring
with pretension
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Solid mesh
• Structured hexahedral
• 12672 nodes
• 10075 elements
• Can be arbitrarily coarse
inside the domain
Immersed Solid
•
Mom. Source Scaling Factor: 10• Motion by Rigid Body Solution
• Mass: 0.5 g
• Linear spring force
• 84.5 N/m
• 0.334 N pretension
• Rigid Body Solver Coupling:
Every Coefficient Loop
…by Immersed Solid Method
8http://www.econengineering.com ANSYS felhasználói konferencia 2015 – Horváth Ákos / 2015. 04. 23.
Fluid mesh
• Tetrahedral mesh with prism layers
• Extremely fine in region of
motion
• 1.4 Million nodes
• 7.6 Million elements
Inlet
• 1.5 bar relative
static pressure
Outlet
• 0 Pa Relative
static pressure
Symmetry planes
C.O.G. of plate
Solver Settings
• Advection Scheme: High Resolution
• Transient Scheme: Second Order Backward Euler
• Min / Max. Coeff. Loops: 4 / 12
• Convergence Criteria: RMS
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…by Mesh Resolving A pproach
9http://www.econengineering.com ANSYS felhasználói konferencia 2015 – Horváth Ákos / 2015. 04. 23.
Simulation Domain• Made in Design Modeler
• Plate is extracted at its
initial position (0.05 mm)
• Multiple bodies in one
part
Finite Volume Mesh
• Fully structured
hexahedral mesh in
region of motion and
downstream of that
• Tetrahedral and swept
mesh upstream
• 324800 nodes
• 352300 elements
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• Plate’s surface is moved by Rigid Body SolutionDispX=rbstate(Position X )@Rigid Body 1–(X2+X3)/2
• Rigid Body Solver with identical settings as in Immersed Solid Method
• Mesh is kept the same next to plate (above and below)
• Mesh is deformed up- and downstream
• A linear function is defined
• Lin1=(Initial X -X1)/(X2-X1)
• Lin2=(Initial X -X4)/(X3-X4)
• Node’s displacement• DispX × Lin1
• DispX × Lin2
• Disadvantages
• Not possible to contact the wall
• Mesh quality
• Aspect ratio
•
Ratio to neighbouring cells
…by Mesh Resolving A pproach
10http://www.econengineering.com ANSYS felhasználói konferencia 2015 – Horváth Ákos / 2015. 04. 23.
X1X2X3X4
The figure here above is only for demonstration of mesh deformation. Initial plate position differs.
C o m p r e s s e d r e
g i o n
( s u b d o m a i n
)
S t r e t c h e d r e g i o n ( s u b d o m a i n )
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Results
11http://www.econengineering.com ANSYS felhasználói konferencia 2015 – Horváth Ákos / 2015. 04. 23.
• Velocity contour plot in
symmetry plane
• There is flow through
plate in ISM
• Initial flow rate(steady-state solution)
is larger by ISM
• Flow field is very
similar during, and at
the end of motion
ISM
MRA
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Results
12http://www.econengineering.com ANSYS felhasználói konferencia 2015 – Horváth Ákos / 2015. 04. 23.
ISM
MRA
• Static pressure
contour plot insymmetry plane
• Initial pressure field is
slightly different
• Pressure field is very
similar during, and at
the end of motion
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Results
13http://www.econengineering.com ANSYS felhasználói konferencia 2015 – Horváth Ákos / 2015. 04. 23.
-2,5
-2
-1,5
-1
-0,5
0
0 0,00025 0,0005 0,00075 0,001 0,00125 0,0015
D i s p l a c e m e n t [ m m ]
Time [s]
Displacement of plate
ISM
MRA
-3
-2,5
-2
-1,5
-1
-0,5
0
0 0,00025 0,0005 0,00075 0,001 0,00125 0,0015
V e l o c i t y [ m / s ]
Time [s]
Velocity of plate
ISM
MRA
-25
-20
-15
-10
-5
0
5
0 0,00025 0,0005 0,00075 0,001 0,00125 0,0015
A c c e l e r a t i o n [ m / s 2 ]
x 1 0 0 0
Time [s]
Acceleration of plate
ISM
MRA
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Advantages and disadvantages
14http://www.econengineering.com
Immersed Solid Method
• Fast model generation
• ≈ 2 hours
• Easy to change fluid / solid part
• Design
• Initial position• Accuracy of force and torque are problem
dependent
• Viscous force contribution is typicallyunderestimated
• Many Limitations
• Mesh deformation
• Heat transfer
• Initial conditions (rigid body)
• Multiphase flow
• etc. (please see Ansys-CFX help)
Traditional Way – MRA
• Time consuming model/mesh generation
• Blocking for structured meshes requireexperience
• ≈ 1-2 days
• Hard to change model• Requires full remeshing (and new
blocking)
• Mesh deformation (and remeshing) setup
• Might be hard to achieve convergence
• Experience in FSI is necessary• Time step size, under-relaxation,
number of inner iterations, etc.
• No limitations on special features
• Accurate
ANSYS felhasználói konferencia 2015 – Horváth Ákos / 2015. 04. 23.
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Summary
15http://www.econengineering.com
• FSI of plate check valve has been investigated… •
…by Immersed Solid Method• …in traditional way, with Mesh Resolving Approach
• Motion of plate is solved by Rigid Body Solution of Ansys-CFX• No need for external mechanical model
• ISM issued in very similar results as MRA• Slightly faster opening time originated from begining of motion
• Model setup and design change is much faster with ISM• It is possible to investigate more design variants easier
• More complex solid bodies can be modeled
• Do not use ISM as a standalone solution for FSI!• Comparative studies with MRAs are necessary to assess accuracy of specific problem
ANSYS felhasználói konferencia 2015 – Horváth Ákos / 2015. 04. 23.
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Thank you for
your attention…
ww w.e co ne ng in ee ring . co m
16http://www.econengineering.com
Ákos Horváth [email protected]
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