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Table of contents
1 Introduction
2 Improvement of the Viscous Penalty Method for particle-resolved mulations
2.1 Introduction
2.2 Model and numerical methods
2.3 Uniform Stokes flow past a cylinder
2.4 Uniform flow past a square configuration of cylinders
2.5 Conclusions and Suggestions
3 Accurate estimate of drag forces using particle-resolved direct numerical simulations
3.1 Introduction
3.2 Model and numerical methods
3.2.1 Fictitious domain approach
3.2.2 Penalty methods
3.2.3 Discretization schemes and solvers
3.3 Lagrangian extrapolation of forces for immersed boundary methods
3.3.1 Low order naive approach
3.3.2 New high order method based on Lagrange extrapolation
3.4 Validation on flows interacting with an isolated particle
3.4.1 Drag coefficient
3.4.2 Simulations setup
3.4.3 Study of numerical parameters for the Lagrange extrapolation
3.4.4 Result on the drag coefficient
3.4.5 Pressure coefficient
3.5 Forces in fixed arrangements of spheres
3.5.1 Monodispersed arrangements of spheres
3.5.2 Bidisperse arrangements of spheres
3.6 Conclusions and perspectives
3.7 Appendix 1: Taylor Interpolation
4 Accurate calculation of heat transfer coefficients for motions around particles with a finite-size particle approach
4.1 Introduction
4.2 Numerical Methodology
4.3 Convective heat transfer forced by a uniform flow around a stationary sphere
4.4 Face-Centered Cubic periodic arrangement of spheres
4.5 Finite size random arrangement of spheres in a channel
4.6 Conclusion
5 Drag, lift and Nusselt coefficients for ellipsoidal particles using particle-resolved direct numerical simulations
5.1 Introduction
5.2 Numerical Methodology
5.3 Drag, Lift and Nusselt for an isolated stationary ellipsoid past by a uniform flow
5.4 Conclusion
6 Novel method to compute drag force and heat transfer for motions around spheres
6.1 Introduction
6.2 Numerical Methodology
6.2.1 Conservation equations
6.2.2 Fictitious domain approach and viscous penalty method
6.2.3 Drag force and heat flux computation using Aslam extension
6.3 Isolated stationary sphere past by a uniform flow
6.3.1 Drag force computation
6.3.2 Heat transfer computation
6.4 Face-Centered Cubic arrangement of stationary sphere past by a uniform flow
6.4.1 Monodispersed Face-Centred Cubic periodic arrangement of spheres
6.5 Conclusions
7 Conclusions and perspectives
Bibliography
