Smoothed Particle Hydrodynamics A Meshfree Particle Method 1st edition by Moubin Liu, Gui rong Liu – Ebook PDF Instant Download/Delivery: B0058BNLVG, 978-9814365574
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Product details:
ISBN 10: B0058BNLVG
ISBN 13: 978-9814365574
Author: Moubin Liu, Gui rong Liu
This is the first-ever book on smoothed particle hydrodynamics (SPH) and its variations, covering the theoretical background, numerical techniques, code implementation issues, and many novel and interesting applications.It contains many appealing and practical examples, including free surface flows, high explosive detonation and explosion, underwater explosion and water mitigation of explosive shocks, high velocity impact and penetration, and multiple scale simulations coupled with the molecular dynamics method. An SPH source code is provided, making this a friendly book for readers and SPH users.
Smoothed Particle Hydrodynamics A Meshfree Particle Method 1st Table of contents:
1 – Introduction
1.1 – Numerical Simulation
1.1.1 – Role of Numerical Simulation
1.1.2 – Solution Procedure of General Numerical Simulations
1.2 – Grid-based Methods
1.2.1 – Lagrangian Grid
1.2.2 – Eulerian Grid
1.2.3 – Combined Lagrangian and Eulerian Grids
1.2.4 – Limitations of the Grid-Based Methods
1.3 – Meshfree Methods
1.4 – Meshfree Particle Methods (MPMs)
1.5 – Solution Strategy of MPMs
1.5.1 – Particle Representation
1.5.2 – Particle Approximation
1.5.3 – Solution Procedure of MPMs
1.6 – Smoothed Particle Hydrodynamics (SPH)
1.6.1 – The SPH Method
1.6.2 – Briefing on the History of the SPH Method
1.6.3 – The SPH Method in This Book
2 – SPH Concept and Essential Formulation
2.1 – Basic Ideas of SPH
2.2 – Essential Formulation of SPH
2.2.1 – Integral Representation of a Function
2.2.2 – Integral Representation of the Derivative of a Function
2.2.3 – Particle Approximation
2.2.4 – Some Techniques in Deriving SPH Formulations
2.3 – Other Fundamental Issues
2.3.1 – Support and Influence Domain
2.3.2 – Physical Influence Domain
2.3.3 – Particle-in-Cell (PIC) Method
2.4 – Concluding Remarks
3 – Constructing Smoothing Functions
3.1 – Introduction
3.2 – Conditions for Constructing Smoothing Functions
3.2.1 – Approximation of a Field Function
3.2.2 – Approximation of the Derivatives of a Field Function
3.2.3 – Consistency of the Kernel Approximation
3.2.4 – Consistency of the Particle Approximation
3.3 – Constructing Smoothing Functions
3.3.1 – Constructing Smoothing Functions in Polynomial Form
3.3.2 – Some Related Issues
3.3.3 – Examples of Constructing Smoothing Functions
Example 3.1 – Dome-Shaped Quadratic Smoothing Function
Example 3.2 – Quartic Smoothing Function
Example 3.3 – Piecewise Cubic Smoothing Function
Example 3.4 – Piecewise Quintic Smoothing Function
Example 3.5 – A New Quartic Smoothing Function
3.4 – Numerical Tests
Example 3.6 – Shock Tube Problem
Example 3.7 – Two-Dimensional Heat Conduction
3.5 – Concluding Remarks
4 – SPH for General Dynamic Fluid Flows
4.1 – Introduction
4.2 – Navier-Stokes Equations in Lagrangian Form
4.2.1 – Finite Control Volume and Infinitesimal Fluid Cell
4.2.2 – The Continuity Equation
4.2.3 – The Momentum Equation
4.2.4 – The Energy Equation
4.2.5 – Navier-Stokes Equations
4.3 – SPH Formulations for Navier-Stokes Equations
4.3.1 – Particle Approximation of Density
4.3.2 – Particle Approximation of Momentum
4.3.3 – Particle Approximation of Energy
4.4 – Numerical Aspects of SPH for Dynamic Fluid Flows
4.4.1 – Artificial Viscosity
4.4.2 – Artificial Heat
4.4.3 – Physical Viscosity Description
4.4.4 – Variable Smoothing Length
4.4.5 – Symmetrization of Particle Interaction
4.4.6 – Zero-Energy Mode
4.4.7 – Artificial Compressibility
4.4.8 – Boundary Treatment
4.4.9 – Time Integration
4.5 – Particle Interactions
4.5.1 – Nearest Neighboring Particle Searching (NNPS)
4.5.2 – Pairwise Interaction
4.6 – Numerical Examples
4.6.1 – Applications to Incompressible Flows
Example 4.1 – Poiseuille Flow
Example 4.2 – Couette Flow
Example 4.3 – Shear Driven Cavity Problem
4.6.2 – Applications to Free Surface Flows
Example 4.4 – Water Splash
Example 4.5 – Water Discharge
Example 4.6 – Dam Collapse
4.6.3 – Applications to Compressible Flows
Example 4.7 – Gas Expansion
4.7 – Concluding Remarks
5 – Discontinuous SPH (DSPH)
5.1 – Introduction
5.2 – Corrective Smoothed Particle Method (CSPM)
5.2.1 – One-Dimensional Case
5.2.2 – Multi-Dimensional Case
5.3 – DSPH Formulation for Simulating Discontinuous Phenomena
5.3.1 – DSPH Formulation 184
5.3.2 – Discontinuity Detection
5.4 – Numerical Performance Study
Example 5.1 – Discontinuous Function Simulation
5.5 – Simulation of Shock Waves
Example 5.2 – Shock Discontinuity Simulation
5.6 – Concluding Remarks
6 – SPH for Simulating Explosions
6.1 – Introduction
6.2 – HE Explosions and Governing Equations
6.2.1 – Explosion Process
6.2.2 – HE Steady State Detonation
6.2.3 – Governing Equations
6.3 – SPH Formulations
6.4 – Smoothing Length
6.4.1 – Initial Distribution of Particles
6.4.2 – Updating of Smoothing Length
6.4.3 – Optimization and Relaxation Procedure
6.5 – Numerical Examples
Example 6.1 – One-Dimensional TNT Slab Detonation
Example 6.2 – Two-Dimensional Explosive Gas Expansion
6.6 – Application of SPH to Shaped Charge Simulation
6.6.1 – Background
Example 6.3 – Shaped Charge with a Conic Cavity and a Plane Ignition
Example 6.4 – Shaped Charge with a Conic Cavity and a Point Ignition
Example 6.5 – Shaped Charge with a Hemi-Elliptic Cavity and a Plane Ignition
Example 6.6 – Effects of Charge Head Length
6.7 – Concluding Remarks
7 – SPH for Underwater Explosion Shock Simulation
7.1 – Introduction
7.2 – Underwater Explosions and Governing Equations
7.2.1 – Underwater Explosion Shock Physics
7.2.2 – Governing Equations
7.3 – SPH Formulations
7.4 – Interface Treatment
7.5 – Numerical Examples
Example 7.1 – UNDEX of a Cylindrical TNT Charge
Example 7.2 – UNDEX of a Square TNT Charge
7.6 – Comparison Study of the Real and Artificial HE Detonation Models
Example 7.3 – One-Dimensional TNT Slab
Example 7.4 – UNDEX Shock by a TNT Slab Charge
Example 7.5 – UNDEX Shock with a Spherical TNT Charge
7.7 – Water Mitigation Simulation
7.7.1 – Background
7.7.2 – Simulation Setup
7.7.3 – Simulation Results
Example 7.6 – Explosion Shock Wave in Air
Example 7.7 – Contact Water Mitigation
Example 7.8 – Non-Contact Water Mitigation
7.7.4 – Summary
7.8 – Concluding Remarks
8 – SPH for Hydrodynamics with Material Strength
8.1 – Introduction
8.2 – Hydrodynamics with Material Strength
8.2.1 – Governing Equations
8.2.2 – Constitutive Modeling
8.2.3 – Equation of State
8.2.4 – Temperature
8.2.5 – Sound Speed
8.3 – SPH Formulation for Hydrodynamics with Material Strength
8.4 – Tensile Instability
8.5 – Adaptive Smoothed Particle Hydrodynamics (ASPH)
8.5.1 – Why ASPH
8.5.2 – Main Idea of ASPH
8.6 – Applications to Hydrodynamics with Material Strength
Example 8.1 – A Cylinder Impacting on a Rigid Surface
Example 8.2 – HVI of a Cylinder on a Plate
8.7 – Concluding Remarks
9 – Coupling SPH with Molecular Dynamics for Multiple Scale Simulations
9.1 – Introduction
9.2 – Molecular Dynamics
9.2.1 – Fundamentals of Molecular Dynamics
9.2.2 – Classic Molecular Dynamics
9.2.3 – Classic MD Simulation Implementation
9.2.4 – MD Simulation of the Poiseuille Flow
9.3 – Coupling MD with FEM and FDM
9.4 – Coupling SPH with MD
9.4.1 – Model I: Dual Functioning (with Overlapping)
9.4.2 – Model II: Force Bridging (without Overlapping)
9.4.3 – Numerical Tests
9.5 – Concluding Remarks
10 – Computer Implementation of SPH and a 3D SPH Code
10.1 – General Procedure for Lagrangian Particle Simulation
10.2 – SPH Code for Scalar Machines
10.3 – SPH Code for Parallel Machines
10.3.1 – Parallel Architectures and Parallel Computing
10.3.2 – Parallel SPH Code
10.4 – A 3D SPH Code for Solving the N-S Equations
10.4.1 – Main Features of the 3D SPH Code
10.4.2 – Conventions for Naming Variables in FORTRAN
10.4.3 – Description of the SPH Code
10.4.4 – Two Benchmark Problems
10.4.5 – List of the FORTRAN Source Files
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Tags: Moubin Liu, Gui rong Liu, Smoothed Particle, Meshfree Particle