Drafts by Alvaro M. Bossio C.
In this thesis, the dynamics of an isolated cavitation bubble submerged in a steady
flow is stud... more In this thesis, the dynamics of an isolated cavitation bubble submerged in a steady
flow is studied numerically. A Lagrangian-Eulerian approach is considered, in which
properties of the fluid are computed first by means of Eulerian methods (in this study the
commercial CFD software Ansys Fluent 19 was used) and the trajectory of the bubble is
then computed in a Lagrangian fashion, i.e. the bubble is considered as a small particle
moving relative to the fluid, due to the effect of several forces depending on fluid’s pressure
field, fluid’s velocity field and bubble’s radius. Bubble’s radius dynamics, modeled by
Rayleigh-Plesset equation, has a big influence on its kinetics, so a special attention is given
to it. Two study cases are considered. The first one, motivated by acoustic cavitation is
concerned with the response of the bubble’s radius in a static flow under the influence of
an oscillatory pressure field, the second one studies the trajectory of the bubble submerged
in a fluid passing by a Venturi tube and a sharp-edged orifice plate.
A Matlab implementation of implicit finite difference method is described to estimate the price o... more A Matlab implementation of implicit finite difference method is described to estimate the price of a vanilla European option. Main focus is the matlab implementation, however some explanation is given on Black-Scholes equation and finite difference method as introduction.
Slight overview on how to derive Karush-Kuhn-Tucker conditions and some examples.
Papers by Alvaro M. Bossio C.
In this thesis, the dynamics of an isolated cavitation bubble submerged in a steady flow is studi... more In this thesis, the dynamics of an isolated cavitation bubble submerged in a steady flow is studied numerically. A Lagrangian-Eulerian approach is considered, in which properties of the fluid are computed first by means of Eulerian methods (in this study the commercial CFD software Ansys Fluent 19 was used) and the trajectory of the bubble is then computed in a Lagrangian fashion, i.e. the bubble is considered as a small particle moving relative to the fluid, due to the effect of several forces depending on fluid's pressure field, fluid's velocity field and bubble's radius. Bubble's radius dynamics, modeled by Rayleigh-Plesset equation, has a big influence on its kinetics, so a special attention is given to it. Two study cases are considered. The first one, motivated by acoustic cavitation is concerned with the response of the bubble's radius in a static flow under the influence of an oscillatory pressure field, the second one studies the trajectory of the bubble...
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Drafts by Alvaro M. Bossio C.
flow is studied numerically. A Lagrangian-Eulerian approach is considered, in which
properties of the fluid are computed first by means of Eulerian methods (in this study the
commercial CFD software Ansys Fluent 19 was used) and the trajectory of the bubble is
then computed in a Lagrangian fashion, i.e. the bubble is considered as a small particle
moving relative to the fluid, due to the effect of several forces depending on fluid’s pressure
field, fluid’s velocity field and bubble’s radius. Bubble’s radius dynamics, modeled by
Rayleigh-Plesset equation, has a big influence on its kinetics, so a special attention is given
to it. Two study cases are considered. The first one, motivated by acoustic cavitation is
concerned with the response of the bubble’s radius in a static flow under the influence of
an oscillatory pressure field, the second one studies the trajectory of the bubble submerged
in a fluid passing by a Venturi tube and a sharp-edged orifice plate.
Papers by Alvaro M. Bossio C.
flow is studied numerically. A Lagrangian-Eulerian approach is considered, in which
properties of the fluid are computed first by means of Eulerian methods (in this study the
commercial CFD software Ansys Fluent 19 was used) and the trajectory of the bubble is
then computed in a Lagrangian fashion, i.e. the bubble is considered as a small particle
moving relative to the fluid, due to the effect of several forces depending on fluid’s pressure
field, fluid’s velocity field and bubble’s radius. Bubble’s radius dynamics, modeled by
Rayleigh-Plesset equation, has a big influence on its kinetics, so a special attention is given
to it. Two study cases are considered. The first one, motivated by acoustic cavitation is
concerned with the response of the bubble’s radius in a static flow under the influence of
an oscillatory pressure field, the second one studies the trajectory of the bubble submerged
in a fluid passing by a Venturi tube and a sharp-edged orifice plate.