| Titre : | High-Order Numerical Methods for Shock-Bubble Interaction Computations |
| Titre original : | Méthodes numériques d’ordre élevé pour la simulation d’interactions choc-interface |
| Type de document : | thèse |
| Auteurs : | Ksenia KOZHANOVA, Auteur ; Éric GONCALVÈS DA SILVA, Directeur de thèse ; Yannick HOARAU, Directeur de thèse ; Institut PPRIME UPR CNRS 3346 - FTC, Commanditaire ; Philippe HELLUY, Rapporteur ; Alistair REVELL, Rapporteur ; Christian TENAUD, Rapporteur ; Ashwin CHINNAYYA, Examinateur ; Marica PELANTI, Examinateur |
| Année de publication : | 2022 |
| Importance : | 118 p. |
| Note générale : | NNT 2022ESMA0001
Remerciements
Résumé étendu
Contents
Appendices
References
Abstract
Keywords
|
| Catégories : | :Bulles:Dynamique
:Equations, Systèmes d':Solutions numériques
Analyse numérique
Ecoulement diphasique
Ondes de choc
Simulation, Méthodes de
Tubes à choc
|
| Résumé : | INTRODUCTION AND BACKGROUND
The context of a shock-induced bubble collapse
Basic numerical methods
High-order numerical methods
Stretched mesh and numerical methods
Objectives and outline of the thesis
MATHEMATICAL MODEL AND BASIC DISCRETIZATION
Mathematical model
Basic discretization
Inlet and outlet boundary conditions
Synthesis
HIGH-ORDER NUMERICAL METHODS
High-order numerical methods overview
Piecewise parabolic method
Monotonicity preserving method
Weighted essentially non-oscillatory method
Synthesis
NUMERICAL VALIDATION
Methodology
1D shock-tube problem
1D Expansion tube with initial velocity |u0|=2 m/s
1D Expansion tube with initial velocity |u0|=100 m/s
Synthesis
2D air-helium shock-bubble interaction
Conclusion
2D SHOCK-INDUCED BUBBLE COLLAPSE
Bubble collapse in a free-field
Bubble collapse near a wall
Synthesis
MESH STRETCHING
Non-uniform mesh overview
Evaluation of distribution functions
Construction of one-dimensional stretching functions
WENO formulation for non-uniform mesh
2D COMPUTATIONS ON NON-UNIFORM MESH
Air-helium shock-bubble interaction
Bubble collapse in a free-field
Bubble collapse near a wall
Synthesis
3D COMPUTATIONS ON NON-UNIFORM MESH
3D SCB solver
Bubble collapse near a wall, Psh = 1200 bar
Bubble collapse near a wall, Psh = 353 bar
Synthesis
GENERAL CONCLUSION AND PERSPECTIVES
General conclusion
Perspectives |
| En ligne : | https://tel.archives-ouvertes.fr/tel-03666688 |
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