16 citations · 58 across the 10 of their papers we have counts for
6 papers · 1 filter
An alternative to the concept of continuous medium
Jean-Paul Caltagirone
Discrete mechanics proposes an alternative formulation of the equations of mechanics where the Navier-Stokes and Navier-Lamé equations become approximations of the equation of disc…
On a reformulation of Navier-Stokes equations based on Helmholtz-Hodge decomposition
Jean-Paul Caltagirone
The proposal for a new formulation of the Navier-Stokes equations is based on a Helmholtz-Hodge decomposition where all the terms corresponding to the physical phenomena are writte…
Application of discrete mechanics model to jump conditions in two-phase flows
Jean-Paul Caltagirone
Discrete mechanics is presented as an alternative to the equations of fluid mechanics, in particular to the Navier-Stokes equation. The derivation of the discrete equation of motio…
On Helmholtz-Hodge decomposition of inertia on a discrete local frame of reference
Jean-Paul Caltagirone
The notion of inertial reference frame is abandoned and I replaced it by a local reference frame on which the fundamental law of mechanics is expressed. The distant interactions of…
On primitive formulation in fluid mechanics and fluid-structure interaction with constant piecewise properties in velocity-potentials of acceleration
Jean-Paul Caltagirone, Stephane Vincent
Discrete mechanics makes it possible to formulate any problem of fluid mechanics or fluid-structure interaction in velocity and potentials of acceleration; the equation system cons…
A phase inversion benchmark for multiscale multiphase flows
J. -L. Estivalezes, W. Aniszewski, F. Auguste +11
A series of benchmarks based on the physical situation of "phase inversion" between two immiscible liquids is presented. These benchmarks aim at progressing toward the direct numer…