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One-dimensional model of interacting-step fluctuations on vicinal surfaces:Analytical formulas and kinetic Monte Carlo simulations
One-dimensional model interacting-step fluctuations vicinal surfaces Analytical formulas kinetic Monte Carlo simulations
2015/10/16
We study analytically and numerically a one-dimensional model of interacting line defects steps fluctuating on a vicinal crystal. Our goal is to formulate and validate analytical techniques for appr...
Feature-scale Simulations of Particulate Slurry Flows in Chemical Mechanical Polishing by Smoothed Particle Hydrodynamics
Chemical mechanical polishing smoothed particle hydrodynamics particulate flow rough pad wafer defects abrasive concentration
2014/10/10
In this paper, the mechanisms of material removal in chemical mechanical polishing (CMP) processes are investigated in detail by the smoothed particle hydrodynamics (SPH) method. The feature-scale beh...
Towards Quantitative Simulations of High Power Proton Cyclotrons
Quantitative Simulations High Power Proton Cyclotrons
2011/3/2
We describe a large scale simulation eort using OPAL (Object Oriented Parallel Accelerator
Library), that leads to a better quantitative understanding of the existing PSI high power proton cyclotron...
Navier-Stokes characteristic boundary conditions for simulations of some typical flows
Navier-Stokes characteristic boundary conditions non-dissipative compact schemes
2010/9/21
The improved Navier-Stokes characteristic boundary conditions (NSCBC) method for direct numerical simulation of viscous flows, combining six order non-dissipative compact schemes with eight order filt...
Analytic solutions of parametric type and numerical simulations of a class of nonlinear ordinary differential equations
BVP analytic solutions of parametric type
2010/9/25
In this paper, the mathematical model that describes the radially symmetric deformation of a micro-void centered at a compressible hyperelastic sphere is formulated as a boundary value problem (BVP) o...
Asymptotic analysis, approximations and simulations of the compensation problem in hyperbolic systems
Hyperbolic systems remediability controllability
2010/9/13
This work concern an extension of the asymptotic compensation problem in hyperbolic systems. We introduce and characterize the notion of asymptotic remediability, which consists to compensate asymptot...
Nonlinear systems for highly compressive elasticity simulations
elasticity compressive elasticity
2010/9/15
The standard equations of linear elasticity have served well over many generations to describe small displacements of elastic systems subject to a variety of forces and/or stresses. However, computati...
Mathematical models and numerical simulations for the P53 ¡Mdm2 network
delay di® erential equation p53 Mdm2
2009/1/4
Guardian of the genome, p53 gene, and its partners that form
the complex network involved in apoptosis and cell cycle arrest, is put
under investigation. Some relevant mathematical models are descri...
Asymptotic compensation in discrete distributed systems: Analysis, approximations and simulations
Discrete distributed systems asymptotic remediability
2010/9/10
This paper concerns the problem of asymptotic compensation for a class of discrete disturbed systems. It is an extension of previous works on the problem of finite time space compensation studied for ...
Modelling shocks and solitons with a modified third order high resolution semi-discrete scheme for soliton and shock wave simulations
Semi-discrete hyperbolic solitons shock wave
2010/9/15
The Kurganov and Levy scheme [SIAM J.Sci.Comput.22, p1467,2000] which is a semi-discrete numerical solution of hyperbolic systems is applied to the system of one dimensional electrostatic fluid equati...