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Table of contents
Introduction
1 Numerical methodology
1.1 Numerical schemes
1.1.1 Quadtree/Octree Adaptive Mesh Renement (AMR)
1.1.2 Temporal discretisation
1.1.3 Spatial discretisation
1.1.4 Volume-of-Fluid (VOF) advection scheme
1.1.5 Balanced-force surface tension calculation
1.1.6 Height-function curvature calculation
1.1.7 Parallelisation
1.2 Nondim en sionalization
1.3 Conclusion
2 Validation of the numerical method: meniscus case
2.1 Physical description
2.2 Results and discussions
2.2.1 Dynamics of the contact point
2.2.2 Equilibrium interface
2.3 Conclusion
3 Gas elect in drop impact on a solid substrate
3.1 Physical description
3.2 Convergence test: analysis of the gas layer
3.3 Early stage of the impact
3.3.1 Constant density ratio r = 0:003
3.3.2 Constant viscosity ratio m = 0:037 and m = 0:07
3.4 Frontier between impact outcomes
3.5 Conclusion
4 Aerodynamic splashing mechanism
4.1 Pre-contact dynamics
4.1.1 Lubrication approximation in the gas layer
4.1.2 Characteristic lengths in the gas layer
4.1.3 Ejection of the small jet
4.1.4 Lift-up of the small jet
4.2 Post-contact dynamics
4.2.1 Central bubble entrapment
4.2.2 Detachment of the thin liquid sheet
4.2.3 Gas entrainment around the contact line
4.3 An aerodynamic splashing mechanism
4.4 Other elects in the impact dynamics
4.4.1 Contact angle elect
4.4.1.1 Impact on a totally-nonwettable surface ( = 180)
4.4.1.2 Impact on a totally-wettable surface ( = 0)
4.4.1.3 Impact on a partially-wettable surface ( = 30; 60; 120; 150)
4.4.2 Gas compressibility elect
4.5 Conclusion
5 Drop impact on a highly-viscous liquid
5.1 Physical description
5.2 Numerical investigations
5.2.1 Wave-like period
5.2.2 Solidifcation period
5.2.3 Comparison with an impact on solid
5.3 Comparison with the experiments
