We investigate the use of the Multipole-accelerated Boundary Element Method (BEM) and of the Singularity Method for studying the interaction of many bubbles rising in a volcanic conduit. Observation shows that the expression of volcanic eruption is extremely variable, from slow release of magma to catastrophic explosive manifestation. We investigate the application of the Fast Multipole Method ...

In order to better understand the origin and evolution of relic radio bubbles in clusters of galaxies, we report on an extensive set of 2D MHD simulations of hot buoyant bubbles evolving in a realistic intracluster medium. Our bubbles are inflated near the base of the ICM over a finite time interval from a region whose magnetic field is isolated from the ICM. We confirm both the early conjectur...

This paper presents numerical simulations of two-phase flow with highdensity ratio, taking into account mass transport of a soluble component and its interfacial mass transfer. The mathematical model and the numerical method allow for different solubility of the species in the respective fluid phases, while volume changes due to mass transfer are neglected. The discontinuous changes in species ...

This work presents the development of a numerical strategy that combines the fast Fourier transform on multipoles (FFTM) method and the boundary element method (BEM) to study the physics of multiple bubbles dynamics in moving boundary problems. The recent FFTM method can be employed to speedup the resolution of the boundary integral equation. However, one major drawback of the method is that it...

Periodically, some group of asset prices rises at a rapid pace that is matched neither by general price inflation nor seemingly by the relevant fundamental asset values. This situation rightfully causes great consternation at central banks, as it has dangerous implications for the stability of inflation and full employment and for financial stability. Some asset prices, such as those for housin...

It is well known that bubbles rising in viscoelastic liquids may exhibit a jump discontinuity of the rise velocity as critical bubble volume exceeded. This phenomenon has been extensively investigated literature, both by means experiments and numerical simulations. The occurrence seems to be associated with change shape under formation pointed tip at rear appearance so-called negative wake, liq...