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Title: Using a deep neural network to predict the motion of underresolved triangular rigid bodies in an incompressible flow
Author(s): Wahl, HenryLook up in the Integrated Authority File of the German National Library
Richter, Thomas
Issue Date: 2021
Type: Article
Language: English
URN: urn:nbn:de:gbv:ma9:1-1981185920-946621
Subjects: Deep neural network
Fluid–structure interaction
Level set
Rigid particles
Abstract: We consider nonspherical rigid body particles in an incompressible fluid in the regime where the particles are too large to assume that they are simply transported with the fluid without back-coupling and where the particles are also too small to make fully resolved direct numerical simulations feasible. Unfitted finite element methods with ghost-penalty stabilization are well suited to fluid-structure-interaction problems as posed by this setting, due to the flexible and accurate geometry handling and for allowing topology changes in the geometry. In the computationally underresolved setting posed here, accurate computations of the forces by their boundary integral formulation are not viable. Furthermore, analytical laws are not available due to the shape of the particles. However, accurate values of the forces are essential for realistic motion of the particles. To obtain these forces accurately, we train an artificial deep neural network using data from prototypical resolved simulations. This network is then able to predict the force values based on information which can be obtained accurately in an underresolved setting. As a result, we obtain forces on very coarse and underresolved meshes which are on average an order of magnitude more accurate compared with the direct boundary-integral computation from the Navier–Stokes solution, leading to solidmotion comparable to that obtained on highly resolved meshes that would substantially increase the simulation costs.
Open Access: Open access publication
License: (CC BY 4.0) Creative Commons Attribution 4.0(CC BY 4.0) Creative Commons Attribution 4.0
Sponsor/Funder: Projekt DEAL 2021
Journal Title: International journal for numerical methods in fluids
Publisher: Wiley
Publisher Place: Chichester
Volume: 93
Issue: 12
Original Publication: 10.1002/fld.5037
Page Start: 3364
Page End: 3383
Appears in Collections:Fakultät für Mathematik (OA)

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