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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