TitleComputer Simulation of Dynamic Phenomena
Author(s)Wilkins, Mark L
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1999.
DescriptionXVI, 246 p : online resource
Abstract NotePreferred 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
ISBN,Price9783662038857
Keyword(s)1. APPLIED MATHEMATICS 2. Classical and Continuum Physics 3. Computational Science and Engineering 4. Computer mathematics 5. COMPUTER SIMULATION 6. CONDENSED MATTER 7. CONDENSED MATTER PHYSICS 8. Continuum physics 9. EBOOK 10. EBOOK - SPRINGER 11. ENGINEERING MATHEMATICS 12. Mathematical and Computational Engineering 13. MATHEMATICAL PHYSICS 14. Simulation and Modeling 15. Theoretical, Mathematical and Computational Physics
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