Numerical Simulation Of Free Surface Flows
By Lagrangian Particle Methods
Author(s)
L. Cueto-Felgueroso, I. Colominas, F. Navarrina & M. Casteleiro
Abstract
This paper presents a Galerkin based SPH formulation with moving least-squares
meshless approximation, applied to free surface flows. The Galerkin scheme provides
a clear framework to analyze several procedures widely used in the classical
SPH literature, suggesting that some of them should be reformulated in order to
develop consistent algorithms. The performance of the methodology proposed is
tested through various dynamic simulations, demonstrating the attractive ability of
particle methods to handle severe distortions and complex phenomena.
1 Introduction
The endeavour to solve the continuum equations in a particle (as opposed to
cell or element) framework, i.e. simply using the information stored at certain
nodes or particles without reference to any underlying mesh, has given rise to
a very active area of research: the class of so-called meshless, meshfree or particle
methods.
The origin of modern meshless methods could be dated back to the 1970s with
the pioneering works in generalized finite differences and vortex particle methods
[1, 2]. However, the strongest influence upon the present trends is commonly
attributed to early Smoothed Particle Hydrodynamics (SPH) formulations [3, 4, 5],
where a lagrangian particle tracking is used to describe the motion of a fluid.
The extension to solid mechanics was introduced by Libersky, Petschek et al. [6]
and Randles [7]. Johnson and Beissel proposed a Normalized Smoothing Function
(NSF) algorithm [8] and other corrected SPH methods have been developed
by Bonet et al. [9, 10] and Chen et al. [11]. More recently, Dilts has introduced
Moving Least Squares (MLS) shape functions into SPH computations [12].
Keywords
Related Book
Other papers in this volume
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