Search results for "Meshless"
showing 10 items of 51 documents
A novel numerical meshless approach for electric potential estimation in transcranial stimulation
2015
In this paper, a first application of the method of fundamental solutions in estimating the electric potential and the spatial current density distribution in the brain due to transcranial stimulation, is presented. The coupled boundary value p roblems for the electric potential are solved in a meshless way, so avoiding the use of grid based numerical methods. A multi-spherical geometry is considered and numerical results are discussed.
A numerical meshless particle method in solving the magnetoencephalography forward problem
2012
In this paper, a numerical meshless particle method is presented in order to solve the magnetoencephalography forward problem for analyzing the complex activation patterns in the human brain. The forward problem is devoted to compute the scalp potential and magnetic field distribution generated by a set of current sources representing the neural activity, and in this paper, it has been approached by means of the smoothed particle hydrodynamics method suitably handled. The Poisson equation generated by the quasi-stationary Maxwell's curl equations, by assuming Neumann boundary conditions has been considered, and the current sources have been simulated by current dipoles. The adopted meshless…
Exploiting Numerical Behaviors in SPH.
2010
Smoothed Particle Hydrodynamics is a meshless particle method able to evaluate unknown field functions and relative differential operators. This evaluation is done by performing an integral representation based on a suitable smoothing kernel function which, in the discrete formulation, involves a set of particles scattered in the problem domain. Two fundamental aspects strongly characterizing the development of the method are the smoothing kernel function and the particle distribution. Their choice could lead to the so-called particle inconsistency problem causing a loose of accuracy in the approximation; several corrective strategies can be adopted to overcome this problem. This paper focu…
Applicazione di tecniche numeriche meshless per la soluzione di equazioni differenziali alle derivate parziali a coefficienti variabili nello spazio …
2014
Uno dei più importanti impieghi della tecnologia del freddo è nella surgelazione degli alimenti al fine di rallentarne il deterioramento dovuto all’azione di enzimi e microorganismi e di preservarne la qualità nutrizionale e la durata. In genere una rapida diminuzione della temperatura degli alimenti durante il congelamento garantisce un rallentamento delle reazioni chimiche, fisiche e biochimiche tale da garantire una buona qualità del prodotto surgelato. Di contro, il rapido abbattimento della temperatura ha certo un costo più oneroso da sostenere per la produzione industriale. L’obiettivo che il presente lavoro di ricerca si prefigge è quello di sviluppare un modello matematico in grado …
Some Numerical Remarks on a Meshless Approximation Method
2016
In this paper we consider sources of enhancement for the Smoothed Particle Hydrodynamics method in approximating a function and its derivatives. It is well known that the standard formulation is usually poor when scattered data distribution is considered or when the approximation near the boundary occurs. In this paper studies on the accuracy are provided and assessed with gridded and scattered data distribution in the problem domain. The improvements of the method are addressed and supporting numerical experiments are included.