16 citations · 58 across the 10 of their papers we have counts for
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physics.flu-dyn2020★ 12 cited
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…
physics.flu-dyn2020★ 16 cited
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…
physics.class-ph2020
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…