PhD_Annual_Review_2023.pdf

Fluid-Structure Interaction
in combination with Multibody Dynamics
Claudio Caccia (PhD cycle XXXVII)
Annual Review
Milan - October ,
/

Table of Contents
Introduction
▶ Introduction
▶ Research Activities
MBDyn Adapter development
Validations
Beam Section Characterization
▶ Future Development
▶ Research-related Activities
/

with Multibody Dynamics
FSI Simulations with Partitioned Approach
• MultiBody Dynamics for the structural part:
— rigid bodies (single or interconnected)
— thin or slender flexible bodies
• Multibody Dynamics simplifies the problem
— in design space exploration
— in analysing multiple operating conditions
• Research objective
— select validation cases for the framework
— explore the ability of the models to describe different
scenarios
⃗
d ⃗
f
⃗
d ⃗
f
/

Table of Contents
Research Activities
▶ Introduction
Validations
/

MBDyn Adapter
https://gitlab.com/stilita/mbdyn-esm-adapter
mbcnodal.h
libmbc.so
MBDyn
adapter
precice.h
libprecice.so
FSI
coupling
• Activity started in master thesis
• Further development :
— to become fully compatible with preCICE features
— to simplify - extend - improve coupled simulations capabilities
• Latest extensions :
— variable ∆t ( preCICE can override the time-step in MBDyn )
— restart feature: it is possible to recover a coupled simulation from a predefined
time-step (with some limitations)
/

Flapping wing1
Description of the test case
Experimental setup
• NACA 0012 in water tunnel
Wing Sections
• Re = ρU0c
µ
: 1 · 104
÷ 3 · 104
(0.1 ÷ 0.3m/s)
• kG = πfc
U0
: reduced frequency 0 ÷ 1.82
. S. Heathcote, Z. Wang, and I. Gursul, “Effect of spanwise flexibility on flapping wing propulsion”,
Journal of Fluids and Structures, vol. , no. , pp. – , .
/

Simulations Results
Re = 30000 and kG = 1.82
/

Simulations results
tip displacement Re = 30000
Results :
• good agreement in amplitude
• a better tuning of structural damping
might be required
Mesh deformation :
• limitations in the overall motion and in
the mesh deformation
• critical for highly flexible wing
Future work :
• different motion solvers (RBF)
• better exploit coupling
/

Vortex Induced Vibrations
of a circular cylinder
From the Development of the adapter for rigid bodies
Vortex induced Vibrations :
• Lock-In
• Galloping
/

Vortex Induced Vibrations
of a circular cylinder
Simulation results and Benchmarks
Amplitude Frequency
Kadapa, Chennakesava. ( ). A Unified Simulation Framework for Fluid–Structure–Control Interaction Problems
with Rigid and Flexible Structures. International Journal of Computational Methods
/

Galloping
of a square cylinder
Simulation results and Benchmarks
Model
Amplitude
Kadapa, Chennakesava. ( ). A Unified Simulation Framework for Fluid–Structure–Control Interaction Problems
with Rigid and Flexible Structures. International Journal of Computational Methods
/

Galloping
of a square cylinder
work in progress
(a) Kelvin-Voigt model
(b) Maxwell model
(c) Standard Linear Solid model - Kelvin
representation
(d) Standard Linear Solid model - Maxwell
representation
• study of the linearized model (small displacement approx.)
• comparison to OF-MBDyn simulation
• application of fluid-structure-control interaction (fsci)
/

Beam Sections Characterization
Structural and mass properties of beam chunks
Section properties
Stiffness Mass







EA 0 0 0 a15 a16
GAy a23 a24 0 0
GAz a34 0 0
GJx 0 0
sym. EJy a56
EJz







⃗
pcm =


xcm
ycm
zcm


I =


Ixx
Iyy
Izz


/

Beam Properties Computation Tool
from a D FEM to MBDyn
[
K
]
[
M
] Tool







EA 0 0 0 a15 a16
GAy a23 a24 0 0
GAz a34 0 0
GJx 0 0
sym. EJy a56
EJz







⃗
pcm =


xcm
ycm
zcm


I =


Ixx
Iyy
Izz


/

How the tool works
computation of stiffness properties
[
KRR KLR
KRR KLL
]
·
[
uR
uL
]
=
[
FR
FL
]
[
KRR − KRL · K−1
LL · KLR
]
· uR = KBB · uR = FR
prismatic mesh CB decomposition handles
∀Ri
{
6 DoFs for rigid motion gR
3n − 6 DoFs of gen. warping
ES = 1
2 uT
R · KBB · uR ES = 1
2 gT
Rref
· XTKBBX · gRref
/

Validations
Linear homogeneous elastic brick
Figure: Stiffness components evolution as function of element number along axis
/

Stress Recovery
Given the generalized stresses at the interfaces
Figure: evolution of τxy at mid and corner of section for unitary TY
/

Table of Contents
Future Development
▶ Introduction
Validations
/

Planned Activities
Gantt Chart
Figure: Planned activities - Gantt chart
/

Planned Activities
main tasks
. Development :
— Section PRoperties : verification, validation and extensions
— MBDyn Adapter extension to multiple interfaces
— FSCI : Transverse galloping of a square on viscoelastic support at low Reynolds number
— Fluid-solid interface : improvmement of performance
. Application :
— definition of the case
— modelization
— simulations and benchmark
. Thesis :
— Organization
— Writing
/

Table of Contents
Research-related Activities
▶ Introduction
Validations
/

Conferences and Papers
Research-related Activities
List of Participations
• preCICE Workshop - Munich February - :
presentation:
Using MultiBody dynamics in FSI simulations for marine applications
• 18th OpenFOAM Workshop - Genoa, July - :
presentations:
BSF: from fluid flow to CHT through the coupling library preCICE
Simulation of a flapping wing using preCICE and MBDyn
/

Thank you for listening!
Any questions?
claudiogiovanni.caccia@polimi.it
/

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