A Molecular Dynamics Study of the Evolving Melt Front under Gravity

During melting under gravity in the presence of a horizontal thermal gradient, buoyancy-driven convection in the liquid phase affects significantly the evolution of the liquid-solid interface. Due to the obvious engineering interest in understanding and controlling melting processes, fluid dynamicists and applied mathematicians have spent many efforts to model and simulate them numerically. Their endeavors concentrated in the twenty-five years period between the publication of the paper by Brent, Voller & Reid (1988) and that by Mansutti & Bucchignani (2011).

SOC-reactivity analysis for a newly defined class of two-dimensional soil organic carbon dynamics

To evaluate changes in the Soil Organic Carbon (SOC) index, one of the key indicators of land degradation neutrality, soil carbon modeling is of primary importance. In litera-ture, the analysis has been focused on the stability characterization of soil carbon steady states and in the calculation of the resilience of the stable equilibria. Neither stability nor resilience, however, provide any information about transient dynamics, and models with highly resilient equilibria can exhibit dramatic transient responses to perturbations.

Approximate Method to Compute Hypersingular Finite-Part Integrals with Rapidly Oscillating Kernels

In this paper, an algorithm for the numerical evaluation of hypersingular finite-part integrals with rapidly oscillating kernels is proposed. The method is based on an interpolatory procedure at zeros of the orthogonal polynomials with respect to the first kind Chebyshev weight. Bounds of the error and of the amplification factor are also provided. Numerically stable procedure are obtained and the corresponding algorithms can be implemented in a fast way.

One-Dimensional Failure Modes for Bodies with Non-convex Plastic Energies

In this paper, a complete picture of the different plastic failure modes that can be predicted by the strain gradient plasticity model proposed in Del Piero et al. (J. Mech. Mater. Struct. 8:109-151, 2013) is drawn. The evolution problem of the elasto-plastic strain is formulated in Del Piero et al. (J. Mech. Mater. Struct. 8:109-151, 2013) as an incremental minimization problem acting on an energy functional which includes a local plastic term and a non-local gradient contribution.

Why diffusion-based preconditioning of Richards equation works: spectral analysis and computational experiments at very large scale.

We consider here a cell-centered finite difference approximation of the Richards equation in three dimensions, averaging for interface values the hydraulic conductivity, a highly nonlinear function, by arithmetic, upstream and harmonic means. The nonlinearities in the equation can lead to changes in soil conductivity over several orders of magnitude and discretizations with respect to space variables often produce stiff systems of differential equations.

"Ma a che serve la matematica?" al CNR IAC di Napoli

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Dopo il successo della giornata al CNR IAC di Firenze, continua il nostro viaggio nel mondo della matematica. Questa volta saranno gli studenti delle scuole secondarie superiori di Napoli a festeggiare con noi i 100 anni del CNR.

Presso la sede dell'IAC di Napoli, nell'Area della Ricerca Napoli 1 di via Pietro Castellino 111, brevi talk, realizzati da ricercatori dell'istituto, guideranno i ragazzi alla scoperta delle applicazioni della matematica, con un linguaggio chiaro e accessibile a tutti.

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