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Smoothed particle hydrodynamics : a meshfree particle method /

Bibliographic Details
Main Author: Liu, G. R. (Gui-Rong)
Other Authors: Liu, M. B.
Format: Book
Language:English
Published: Singapore ; London : World Scientific, 2003.
Subjects:
Meshfree methods (Numerical analysis)
Hydrodynamics.
Método dos elementos finitos.
Hidrodinâmica.
Méthodes sans maillage (Analyse numérique)
Hydrodynamique.
Table of Contents:
  • Numerical Simulation
  • Role of Numerical Simulation
  • Solution Procedure of General Numerical Simulations
  • Grid-based Methods
  • Lagrangian Grid
  • Eulerian Grid
  • Combined Lagrangian and Eulerian Grids
  • Limitations of the Grid-Based Methods
  • Meshfree Methods
  • Meshfree Particle Methods (MPMs)
  • Solution Strategy of MPMs
  • Particle Representation
  • Particle Approximation
  • Solution Procedure of MPMs
  • Smoothed Particle Hydrodynamics (SPH)
  • The SPH Method
  • Briefing on the History of the SPH Method
  • The SPH Method in This Book
  • SPH Concept and Essential Formulation
  • Basic Ideas of SPH
  • Essential Formulation of SPH
  • Integral Representation of a Function
  • Integral Representation of the Derivative of a Function
  • Particle Approximation
  • Some Techniques in Deriving SPH Formulations
  • Other Fundamental Issues
  • Support and Influence Domain
  • Physical Influence Domain
  • Particle-in-Cell (PIC) Method
  • Constructing Smoothing Functions
  • Conditions for Constructing Smoothing Functions
  • Approximation of a Field Function
  • Approximation of the Derivatives of a Field Function
  • Consistency of the Kernel Approximation
  • Consistency of the Particle Approximation
  • Constructing Smoothing Functions
  • Constructing Smoothing Functions in Polynomial Form
  • Some Related Issues
  • Examples of Constructing Smoothing Functions
  • Dome-Shaped Quadratic Smoothing Function
  • Quartic Smoothing Function
  • Piecewise Cubic Smoothing Function
  • Piecewise Quintic Smoothing Function.