Rui M. S. Pereira

Investigation on the Baumgarte Stabilization Method for Dynamic Analysis of Constrained Multibody Systems

This paper presents an investigation on the Baumgarte stabilization method for dynamic analysis of constrained multibody systems. The purpose of this work is to study the influence of the main variables that affect the constraints violation, namely, the values of the Baumgarte parameters. In the process, the formulation of the dynamic equations of motion of constrained multibody systems and the main issues of the Baumgarte stabilization method are revised. Attention is given to the techniques to help in the Baumgarte parameters selection. A demonstrative example is presented and the results of some simulations are discussed.

Viscous–inviscid interaction in transonic Prandtl–Meyer flow

This paper presents a theoretical analysis of perfect gas flow over a convex corner of a rigid-body contour. It is assumed that the flow is subsonic before the corner. It accelerates around the corner to become supersonic, and then undergoes an additional acceleration in the expansion Prandtl–Meyer fan that forms in the supersonic part of the flow behind the corner. The entire process is described by a self-similar solution of the Karman–Guderley equation. The latter shows that the boundary layer approaching the apex of the corner is exposed to a singular pressure gradient,

Effect of clustering on the surface plasmon band in thin films of metallic nanoparticles

{\rm d} p / {\rm d} x \sim (-x)^{-3/5}

Probing spatial correlations in a system of polarizable nanoparticles via measuring its optical extinction spectrum

, where

Irrigation planning: an optimal control approach

x

Optical response of fractal aggregates of polarizable particles

denotes the coordinate measured along the body surface from the corner apex. Under these conditions, the solution for the boundary layer also develops a singularity. In particular, the longitudinal velocity near the body surface behaves as

Numerical simulation of breast reduction with a new knitting condition

U \sim Y^{1/2}

Optimal Control Applied to an Irrigation Planning Problem

. Here

Optimal control for an irrigation planning problem: characterisation of solution and validation of the numerical results

Y

Irrigation planning: replanning and numerical solution

is the normal coordinate scaled with the boundary-layer thickness