Computer Simulation of Dynamic Phenomena (Scientific Computation) [Hardcover]

Mark L. Wilkins (Author)

Book Description

Publication Date: May 14, 1999 | ISBN-10: 3540630708 | ISBN-13: 978-3540630708 | Edition: 1

A description of computer programs for simulating phenomena in hydrodynamics, gas dynamics, and elastic plastic flow in one, two, and three dimensions. The text covers Maxwell's equations, and thermal and radiation diffusion, while the numerical procedures described permit the exact conservation of physical properties in the solutions of the fundamental laws of mechanics. The author also treats materials, including the use of simulation programs to predict material behavior.

Editorial Reviews

Review

From the reviews "The focus on the numerical scheme by the author was particularly good. Text, equations and illustrations have been employed very well to explain the methods of producing the numerical code. The procedure to implement them practically is also well documented." (The Physicist, 2000) "(....) the book offers a unique and interesting blend of numerical fluid and solid mechanics. As such, it should serve well as a reference for a graduate course on computational mechanics." (Applied Mechanics Reviews, 1999)

From the Back Cover

Preferred finite difference schemes in one, two, and three space dimensions are described for solving the three fundamental equations of mechanics (conservation of mass, conservation of momentum, and conservation of energy). Models of the behavior of materials provide the closure to the three fundamentals equations for applications to problems in compressible fluid flow and solid mechanics. The use of Lagrange coordinates permits the history of mass elements to be followed where the integrated effects of plasticity and external loads change the material physical properties. Models of fracture, including size effects, are described. The detonation of explosives is modelled following the Chapman--Jouget theory with equations of state for the detonation products derived from experiments. An equation-of-state library for solids and explosives is presented with theoretical models that incorporate experimental data from the open literature. The versatility of the simulation programs is demonstrated by applications to the calculations of surface waves from an earthquake to the shock waves from supersonic flow and other examples.

Product Details

• Hardcover: 262 pages
• Publisher: Springer; 1 edition (May 14, 1999)
• Language: English
• ISBN-10: 3540630708
• ISBN-13: 978-3540630708
• Product Dimensions: 9.3 x 6.2 x 0.8 inches
• Shipping Weight: 1.5 pounds (View shipping rates and policies)
• Average Customer Review: 4.3 out of 5 stars  See all reviews (3 customer reviews)
• Amazon Best Sellers Rank: #2,571,193 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

1 of 1 people found the following review helpful:

5.0 out of 5 stars Excellent Book Highly Recommended for any serious work in the field, March 28, 2007

By 

Herman Ruefenacht "Hermann" (Montreal, Canada) - See all my reviews
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This review is from: Computer Simulation of Dynamic Phenomena (Scientific Computation) (Hardcover)

This book is a development of Wilkins early paper (Calculation of Elastic-Plastic Flow) followed by a generalization to 3 dimensions of his finite difference equations for solving fluid flow mechanics. The work presented forms the basis of many finite difference programs providing stable methods for solving partial differential equations of fluid flow for high velocity plastic deformations and magneto hydro dynamics. The book is easy to read and complete, he is highly recommended for any serious work in the field.

1 of 1 people found the following review helpful:

3.0 out of 5 stars This book is the description of the algorithm of the HEMP code, March 6, 2007

By 

Francois-Xavier Jette (Montreal, Quebec, Canada) - See all my reviews
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This review is from: Computer Simulation of Dynamic Phenomena (Scientific Computation) (Hardcover)

I gave this book 3 stars not because it's badly written or uninformative, but because you are bound to be disappointed when you open it since it doesn't correspond to the expectations its title generates.

The book is not about computer simulations of impact in general, but about the method used by Wilkins in his HEMP code. In this book, he explains the various parts of his algorithm. For instance, he explains his method of solution of the PDEs (a Lagrangian finite-volume-type method), his material models, etc. Wilkins and HEMP are well-known and well-respected names in the field, so the book is a very valuable addition to any collection on the subject. However, many of the methods described in this book have been replaced by more advanced ones. So the book is a good introductory reference for those who are new to the subject, but it is not where you will learn the state of the art (for the state-of-the art, David Benson's papers provide good information and useful recent references...).

5.0 out of 5 stars Important book on how to write a Lagrangian hydrocode, May 23, 2010

By 

A. I. Haque - See all my reviews
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Amazon Verified Purchase

This review is from: Computer Simulation of Dynamic Phenomena (Scientific Computation) (Paperback)

This book gives an excellent detailed description of how to write a Lagrangian hydrocode. These algorithms have been used in other hydrocodes than just HEMP. I used them as the basis for my Ph.D. dissertation. The other major Lagrangian alternatives are Schulz and the finite element method of DYNA. If you want Eulerian algorithms you will have to look elsewhere.

This book is for people who work in the field of high-strain rate solid mechanics. It is not for beginers. Before reading this book I suggest Zukas's book on hydrocodes and Myers's book on dynamic behavior of materials. That will give the necesary physics background.