Zobrazeno 1 - 10
of 241
pro vyhledávání: '"Lennon, O."'
We consider the problem of droplet impact and droplet spreading on a smooth surface in the case of a viscous Newtonian fluid. We revisit the concept of the rim-lamella model, in which the droplet spreading is described by a system of ordinary differe
Externí odkaz:
http://arxiv.org/abs/2410.07904
Autor:
Náraigh, Lennon Ó
We introduce two models of industrial drying - a simplified one-equation model, and a detailed three-equation model. The purpose of the simplified model is rigorous validation of numerical methods for PDE-constrained optimal control. The purpose of t
Externí odkaz:
http://arxiv.org/abs/2404.16604
We consider the classical problem of droplet impact and droplet spread on a smooth surface in the case of an ideal inviscid fluid. We revisit the rim-lamella model of Roisman et al. [\textit{Proceedings of the Royal Society of London. Series A: Mathe
Externí odkaz:
http://arxiv.org/abs/2310.08359
Autor:
Náraigh, Lennon Ó, Mairal, Juan
We study droplet-impact problems in a three-dimensional cylindrical or equivalent two-dimensional Cartesian geometry. Such structures do have an approximate experimental realization, and they are often simulated a test-bed for computational methods.
Externí odkaz:
http://arxiv.org/abs/2307.12838
We investigate theoretically the stability of thermo-capillary convection within a droplet when heated by a point source from below. To model the droplet, we use a mathematical model based on lubrication theory. We formulate a base-state droplet prof
Externí odkaz:
http://arxiv.org/abs/2307.09310
The Geometric Thin-Film equation is a mathematical model of droplet spreading in the long-wave limit, which includes a regularization of the contact-line singularity. We show that the weak formulation of the problem, given initial Radon data, admits
Externí odkaz:
http://arxiv.org/abs/2207.14175
We present a new self-contained convergence analysis of the particle method that can be applied to a range of PDEs, including the Camassa-Holm equation. It is a development of the analysis of Chertock, Liu and Pendleton, which used compactness proper
Externí odkaz:
http://arxiv.org/abs/2112.10589
Autor:
Pang, Khang Ee, Náraigh, Lennon Ó
We introduce a mathematical model with a mesh-free numerical method to describe contact-line motion in lubrication theory. We show how the model resolves the singularity at the contact line, and generates smooth profiles for an evolving, spreading dr
Externí odkaz:
http://arxiv.org/abs/2107.10732
In this paper we present a methodology for data accesses when solving batches of Tridiagonal and Pentadiagonal matrices that all share the same left-hand-side (LHS) matrix. The intended application is to the numerical solution of Partial Differential
Externí odkaz:
http://arxiv.org/abs/2107.05395
In this article we use analytical and numerical modeling to describe parallel viscous two-phase flows in microchannels. The focus is on idealized two-dimensional geometries, with a view to validating the various methodologies for future work in three
Externí odkaz:
http://arxiv.org/abs/1911.12196