Using a higher moment method, it is also possible to give rise to the Kortweg-De Vries equation, and furthermore LBM has been used to simulate incompressible magnetohydrodynamics in two or three dimensions. Among them we can find simulation of ferrofluids, a competition between surface tension and dipolar interactions to model magnetic fluids, and the simulation of electroosmotic fluids in charged anisotropic porous material. In two dimensions D2Q9 is well-known for 2D simulations and in 3D we have the D3Q15, D3Q27 and D3Q19 lattices.Ī wide range of simulations has used these lattices up to now. For carrying out a LBM, a discrete velocity is chosen, in one-dimension D1Q3 and (D1Q5 are common. LBM solves a discrete kinetic equation for one particle distribution function along the above discrete set of velocities. In LBM, the statistical distribution of particles is located on a spatial grid, where each spatial point is assigned to a discrete and finite set of velocity vectors, which point to the nearest sites. This technique, is based on the discretization of the Boltzmann equation with Bathnagar, Groos y Krook (BGK) approximation for the collision operator. The Lattice-Boltzmann method (LBM) has become one of the most popular techniques for studying the phenomenology of complex fluid dynamics in recent decades. Palabras clave: Ablación Láser, monocristalino, Fluidos no ideales, método de Lattice-Boltzmann. La simulación computacional reproduce bastante bien, el comportamiento global de los patrones geométricos experimentales, expresados en ondulaciones paralelas oblicuas. Todo el sistema se sometió a soplado de gas de argón que es clave en la formación de los patrones. El experimento se llevó a cabo con un láser de pulsos multilínea (1064, 532 y 355 nm) de Nd: YAG, que emplea un rango de energía 310 a 3.100 J, en una superficie de silicio monocristalino, tipo p, orientado en la dirección. Para este propósito, se utilizó el método de Lattice-Boltzmann suponiendo dos fluidos no ideales, que interactúan, utilizando una rejilla de velocidades D2Q9. Hemos simulado la formación de patrones en superficies de silicio. Keywords: Laser Ablation, monocrystalline, non-ideal fluids, Lattice-Boltzmann method. Computer simulation reproduces the overall behavior of the experimental geometric patterns expressed in oblique parallel ripples quite well. The whole system was subjected to argon gas blowing which is key in pattern formation. The experiment was carried out with a multiline (1064, 532 and 355 nm) Nd: YAG pulsed laser that employs an energy range from 310 to 3100 J on a surface p-type monocrystalline silicon oriented in the direction. For this purpose, we used Lattice-Boltzmann method assuming two non-ideal interacting fluids using a lattice velocity D2Q9. We simulated the pattern formation on silicon surfaces. Received in revised form: June 3 th, 2014. Grupo de Ciencia de Materiales y Superficies, Universidad Nacional de Colombia, Colombia. Departamento de Física, Universidad Nacional de Colombia. Método de Lattice-Boltzmann aplicado a la formación de patrones sobre estructuras superficiales periódicas generadas por láser de nanosegundos multilineasįrank Rodolfo Fonseca-Fonseca a, José Edgar Alfonso-Orjuela b & Darío Fernando Andrade cĪ Departamento de Física, Universidad Nacional de Colombia, Colombia. Lattice-Boltzmann method applied to the pattern formation on periodic surface structures generated by multiline nanosecond laser

Silicio tipo p