A comparative study of interpolation algorithms on non-matching meshes for PFEM-FEM fluid-structure interactions

Non-matching meshes; Radial basis functions; k-nearest neighbours; Fluid-structure interaction; Particle finite element method; Computational fluid dynamics

Abstract :

[en] In simulations involving fluid-structure interactions, the partitioned coupling approach allows calculating the fluid flow and the structural displacement using different solvers, which are coupled by a structure-to-fluid algorithm. This partitioned scheme can result in non-conforming meshes at the solid-fluid interface, especially when the fluid and the structure meshes contain elements of different characteristic sizes. In this context, a mesh-interpolation technique is required to transmit the nodal information from one mesh to the other. This paper focuses on comparing radial basis functions and k-nearest neighbours interpolations on fluid-structure interaction test cases. Indeed, those are fast and flexible techniques requiring no topological information other than relative distances between nodes, allowing a straightforward transfer of nodal data between non-conforming meshes. This feature is particularly favourable in the Particle Finite Element Method (PFEM), where remeshing procedures result in significant changes of the finite element discretisation at the fluid-structure interface. Accordingly, our contribution compares the interpolations in a PFEM/FEM partitioned scheme, using 2D and 3D benchmark problems.

Research Center/Unit :

A&M - Aérospatiale et Mécanique - ULiège

Disciplines :

Engineering, computing & technology: Multidisciplinary, general & others

Author, co-author :

Lacroix, Martin ; Université de Liège - ULiège > Aérospatiale et Mécanique (A&M)

Février, Simon ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire

Fernandez Sanchez, Eduardo Felipe ; Université de Liège - ULiège > Aérospatiale et Mécanique (A&M)

Papeleux, Luc ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire

Boman, Romain ; Université de Liège - ULiège > Département d'aérospatiale et mécanique

Ponthot, Jean-Philippe ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire

Language :

English

Title :

A comparative study of interpolation algorithms on non-matching meshes for PFEM-FEM fluid-structure interactions

Publication date :

February 2024

Journal title :

Computers and Mathematics with Applications

ISSN :

0898-1221

Publisher :

Elsevier BV

Volume :

155

Pages :

51-65

Peer reviewed :

Peer reviewed

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique

Funding number :

T.0183.21

Available on ORBi :

since 11 December 2023

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