© 1999

Computer Simulation of Dynamic Phenomena


Part of the Scientific Computation book series (SCIENTCOMP)

Table of contents

  1. Front Matter
    Pages I-XVI
  2. Mark L. Wilkins
    Pages 1-26
  3. Mark L. Wilkins
    Pages 27-36
  4. Mark L. Wilkins
    Pages 37-81
  5. Mark L. Wilkins
    Pages 83-112
  6. Mark L. Wilkins
    Pages 113-128
  7. Mark L. Wilkins
    Pages 129-149
  8. Mark L. Wilkins
    Pages 151-170
  9. Mark L. Wilkins
    Pages 171-188
  10. Back Matter
    Pages 189-247

About this book


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.


Computer Maxwell's equations Simulation behaviour of materials computer simulation detonation wawes elastic-plastic flow fluid mechanics magnetohydrodynamics mechanics modeling plastic waves sliding surfaces sound sliding interfaces

Authors and affiliations

  1. 1.Lawrence Livermore National LaboratoryLivermoreUSA

Bibliographic information

Industry Sectors
IT & Software


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)