Article (Scientific journals)
Generalized-alpha scheme in the PFEM for velocity-pressure and displacement-pressure formulations of the incompressible Navier-Stokes equations
Fernandez Sanchez, Eduardo Felipe; Février, Simon; Lacroix, Martin et al.
2022In International Journal for Numerical Methods in Engineering
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Keywords :
Time integration; Fluid mechanics; Particle methods; CFD; Generalized-Alpha; PFEM
Abstract :
[en] Despite the increasing use of the Particle Finite Element Method (PFEM) in fluid flow simulation and the outstanding success of the Generalized-alpha time integration method, very little discussion has been devoted to their combined performance. This work aims to contribute in this regard by addressing three main aspects. Firstly, it includes a detailed implementation analysis of the Generalized-alpha method in PFEM. The work recognizes and compares different implementation approaches from the literature, which differ mainly in the terms that are alpha-interpolated (state variables or forces of momentum equation) and the type of treatment for the pressure in the time integration scheme. Secondly, the work compares the performance of the Generalized-alpha method against the Backward Euler and Newmark schemes for the solution of the incompressible Navier-Stokes equations. Thirdly, the study is enriched by considering not only the classical velocity-pressure formulation but also the displacement-pressure formulation that is gaining interest in the fluid-structure interaction field. The work is carried out using various 2D and 3D benchmark problems such as the fluid sloshing, the solitary wave propagation, the flow around a cylinder, and the collapse of a cylindrical water column.
Disciplines :
Mechanical engineering
Author, co-author :
Fernandez Sanchez, Eduardo Felipe  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire
Février, Simon ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire
Lacroix, Martin  ;  Université de Liège - ULiège > Aérospatiale et Mécanique (A&M)
Boman, Romain  ;  Université de Liège - ULiège > Aérospatiale et Mécanique (A&M)
Ponthot, Jean-Philippe  ;  Université de Liège - ULiège > Aérospatiale et Mécanique (A&M)
Language :
English
Title :
Generalized-alpha scheme in the PFEM for velocity-pressure and displacement-pressure formulations of the incompressible Navier-Stokes equations
Publication date :
25 August 2022
Journal title :
International Journal for Numerical Methods in Engineering
ISSN :
0029-5981
eISSN :
1097-0207
Publisher :
John Wiley & Sons, Hoboken, United States - New Jersey
Peer reviewed :
Peer Reviewed verified by ORBi
Name of the research project :
ALFEWELD
Funding text :
This work was supported by the ALFEWELD project: Amélioration et modélisation du FMB (Friction Melt Bonding) pour le soudage par recouvrement de l’aluminium et de l’acier. Convention 1710162, funded by the WALInnov program of the Walloon Region of Belgium.
Available on ORBi :
since 19 August 2022

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