Faculté des Sciences appliquées
Faculté des Sciences appliquées

Final work :Approaches to improve mass conservation in PFEM for the simulation of free-surface flows

Martínez Tejada, Lucía ULiège
Promotor(s) : Ponthot, Jean-Philippe ULiège
Date of defense : 27-Jun-2022/28-Jun-2022 • Permalink :
Title : Final work :Approaches to improve mass conservation in PFEM for the simulation of free-surface flows
Translated title : [en] Approaches to improve mass conservation in PFEM for the simulation of free-surface flows
Author : Martínez Tejada, Lucía ULiège
Date of defense  : 27-Jun-2022/28-Jun-2022
Advisor(s) : Ponthot, Jean-Philippe ULiège
Committee's member(s) : Noels, Ludovic ULiège
Sanchez, Eduardo 
Language : English
Number of pages : 116
Keywords : [en] PFEM
[en] free-surface flows
[en] mass conservation
[en] CFD
[en] sloshing
[en] dam break
Discipline(s) : Engineering, computing & technology > Aerospace & aeronautics engineering
Institution(s) : Université de Liège, Liège, Belgique
Degree: Master en ingénieur civil en aérospatiale, à finalité spécialisée en "turbomachinery aeromechanics (THRUST)"
Faculty: Master thesis of the Faculté des Sciences appliquées


[en] Solving complex simulations while ensuring high accuracy is a challenge, as seen in simulations that involve free-surfaces and large displacements. One way to better solve them is via the Particle Finite Element Method (PFEM). The Particle Finite Element Method (PFEM) is a numerical method that discretizes the body into a set of points. This set of points is used to create a Finite Element mesh that moves in time following the cloud of points. PFEM then combines a Lagrangian description with the classical Finite Element Method. The strength of PFEM is that it solves problems that involve large displacements and severe topological changes. However, current PFEM implementations do not guarantee mass conservation. Therefore, it is necessary to find an approach that improves it. This work focuses on implementing numerical techniques related to the mesh to improve the conservation of mass in PFEM.

In this study, the aforementioned techniques to improve mass conservation are implemented for the in-house PFEM Matlab code of the LTAS-MN2L group at the University of Liege. A study of the proposed methodologies is also presented, including: (1) a sloshing problem, (2) three different dam breaks. It is concluded that the Adjustment of the fluid’s height method that addresses both terms of mass variation yields the greatest improvement in mass conservation. Cruchaga’s approach is physically more coherent, as it corrects the free surface nodes’ positions based on the velocity of each node.



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Description: Master Thesis Report - Lucia Martinez Tejada
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Description: Master Thesis Summary - Lucia Martinez Tejada
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  • Martínez Tejada, Lucía ULiège Université de Liège > Master ingé. civ. aérospat., à fin. (THRUST)


Committee's member(s)

  • Noels, Ludovic ULiège Université de Liège - ULiège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3)
    ORBi View his publications on ORBi
  • Sanchez, Eduardo
  • Total number of views 41
  • Total number of downloads 18

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