16 citations · 58 across the 10 of their papers we have counts for
10 papers
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…
Prime Role of the Curvature of Potentials in Physics; Application to Inertia
Jean-Paul Caltagirone
The curvature of the inertial or gravitational potentials defined as a Hodge-Helmholtz decomposition of acceleration into an irrotational and a solenoidal components, enable to fed…
Unified discrete approach of acceleration conservation
Jean-Paul Caltagirone
Discrete mechanics is used to present fluid mechanics, fluid-structure interactions, electromagnetism and optical physics in a coherent theoretical and numerical approach. Accelera…
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…
Dynamics of a Relativistic Particle in Discrete Mechanics
Jean-Paul Caltagirone
The study of the evolution of the dynamics of a massive or massless particle shows that in special relativity theory, the energy is not conserved. From the law of evolution of the…
Extension of Discrete Mechanics towards Electromagnetism
Jean-Paul Caltagirone
The attempt to unify the laws of physics is approached from a discrete vision of space and time, abandoning the continuous medium paradigm that presided over the derivation of cert…