Concept

Lagrangian mechanics

Related publications (168)

DNS of buoyancy-driven flows and Lagrangian particle tracking in a square cavity at high Rayleigh numbers

Michel Deville, Emmanuel Leriche, Alfredo Soldati, Riccardo Puragliesi, Abdelouahab Dehbi

In this work we investigate numerically particle deposition in the buoyancy driven flow of the differentially heated cavity (DHC). We consider two values of the Rayleigh number (Ra = 10(9), 10(10)) and three values of the particle diameter (d(p) = 15, 25, ...

2011

Ambulatory measurement of ankle kinetics for clinical applications

Kamiar Aminian, Julien Favre, Xavier Crevoisier, Hossein Rouhani

This study aimed to design and validate the measurement of ankle kinetics (force, moment, and power) during consecutive gait cycles and in the field using an ambulatory system. An ambulatory system consisting of plantar pressure insole and inertial sensors ...

2011

Lagrange Equations Coupled to a Thermal Equation: Mechanics as Consequence of Thermodynamics

Sylvain Bréchet, Christian Gruber

Following the analytic approach to thermodynamics developed by Stuckelberg, we study the evolution equations of a closed thermodynamic system consisting of point particles in a fluid. We obtain a system of coupled differential equations describing the mech ...

MDPI AG2011

Immersive singularity-free full-body interactions with reduced marker set

Ronan Boulic, Daniel Raunhardt

Despite the large success of games grounded on movement-based interactions the current state of full-body motion capture technologies still prevents the exploitation of precise interactions with complex environments. The first key requirement in the line o ...

2011

Density tagging velocimetry

Karen Ann J Mulleners, Andreas Schröder

Density tagging velocimetry, a novel optical technique for point-wise measurement of flow velocity is proposed here. This new method is based on the detection and subsequent tracking of a local density variation deliberately inserted in the flow. The exper ...

2011

On the accuracy of approximate techniques for the evaluation of lightning electromagnetic fields along a mixed propagation path

Marcos Rubinstein, Abdolhamid Shoory, Abdenabi Mimouni

In this paper we review simplified analytical expressions derived by Wait using the concept of attenuation function for the analysis of the propagation of lightning-radiated electromagnetic fields over a mixed propagation path (vertically stratified ground ...

2011

Multiplicity Of Homoclinic Orbits In Quasi-Linear Autonomous Lagrangian Systems

Boris Buffoni, Laurent Landry

The existence of at least two homoclinic orbits is proved by A. Ambrosetti and V. Coti Zelati (Multiple homoclinic orbits for a class of conservative systems, Rend. Sem. Mat. Univ. Padova, 89 (1993), 177-194) for autonomous Lagrangian systems ...

2010

On a class of mean field solutions of the Monge problem for perfect and self-interacting systems

Philippe Choquard

The Monge problem [23], [27], as reformulated by Kantorovich [19], [20] is that of the transportation, at a minimum "cost", of a given mass distribu- tion from an initial to a final position during a given time interval. It is an optimal transport problem ...

EPFL2010

Introduction to Geometric Mechanics and AVI

Yves Weinand, Tudor Ratiu, François Marie Alain Demoures

The goal of this short presentation is to introduce Geometric Mechanics as well as Asynchronous Variational Integrators (AVI). The geometric point of view in mechanics combined with solid analysis has been a phenomenal success in linking various diverse ar ...

2010

Two-phase free-surface fluid dynamics on moving domains

Thomas Zimmermann, Matthias Preisig

We develop in this paper a model for the numerical simulation of free surface debris- and mudflows, described as a mixture of two viscous phases A Lagrangian approach with finite element approximation and regular remeshing is adopted in this paper. The pro ...

2010

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