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Lagrangian reduction of nonholonomic discrete mechanical systems
(American Institute of Mathematical Sciences, 2010-03)
In this paper we propose a process of lagrangian reduction and<br />reconstruction for nonholonomic discrete mechanical systems where the action of a continuous symmetry group makes the configuration space a principal ...
Error analysis of forced discrete mechanical systems
(American Institute of Mathematical Sciences, 2021-12)
The purpose of this paper is to perform an error analysis of the variational integrators of mechanical systems subject to external forcing. Es- sentially, we prove that when a discretization of contact order r of the La- ...
The truss‐like discrete element method in fracture and damage mechanics
(Emerald Group Publishing Limited, 2011-12)
Purpose: It is the purpose of this paper to further develop the truss-like discrete element method (DEM) in order to make it suitable to deal with damage and fracture problems. Design/methodology/approach: Finite and ...
The inverse problem of the calculus of variations for discrete systems
(IOP Publishing, 2018-04-09)
We develop a geometric version of the inverse problem of the calculus of variations for discrete mechanics and constrained discrete mechanics. The geometric approach consists of using suitable Lagrangian and isotropic ...
Discrete second order constrained Lagrangian systems: first results
(American Institute of Mathematical Sciences, 2013-12)
We briefly review the notion of second order constrained (continuous) system (SOCS) and then propose a discrete time counterpart of it, which we naturally call discrete second order constrained system (DSOCS). To illustrate ...
Numerical simulation of vortex interactions using a fast multipole discrete particle method
(2015-01-01)
The discrete vortex method (DVM) is based on a Lagrangian description of the vorticity transport equation. In order to numerically solve the DVM, one can split the vorticity equation into separate diffusive and convective ...
NUMERICAL SIMULATION OF VORTEX INTERACTIONS USING A FAST MULTIPOLE DISCRETE PARTICLE METHOD
(Int Center Numerical Methods Engineering, 2015-01-01)
The discrete vortex method (DVM) is based on a Lagrangian description of the vorticity transport equation. In order to numerically solve the DVM, one can split the vorticity equation into separate diffusive and convective ...