On numerical studies of explosion and implosion in air.

Fu Sau-chung.Thesis (M.Phil.)--Chinese University of Hong Kong, 2006.Includes bibliographical references (leaves 68-71).Abstracts in English and Chinese.Abstract --- p.iAcknowledgement --- p.iiiChapter 1 --- Introduction --- p.1Chapter 1.1 --- Background of Explosion and Implosion Problems --- p.1Chapter 1.2 --- Background of the Development of Numerical Schemes --- p.2Chapter 1.3 --- Organization of the Thesis --- p.5Chapter 2 --- Governing Equations and Numerical Schemes --- p.6Chapter 2.1 --- Governing Equations --- p.6Chapter 2.2 --- Numerical Schemes --- p.8Chapter 2.2.1 --- Splitting Scheme for Partial Differential Equations with Source Terms --- p.8Chapter 2.2.2 --- Boundary Conditions --- p.9Chapter 2.2.3 --- "Numerical Solvers for the ODEs - The Second-Order, Two-Stage Runge-Kutta Method" --- p.10Chapter 2.2.4 --- Numerical Solvers for the Pure Advection Hyperbolic Problem - The Second-Order Relaxed Scheme --- p.11Chapter 3 --- Numerical Results --- p.29Chapter 3.1 --- Spherical Explosion Problem --- p.30Chapter 3.1.1 --- Physical Description --- p.32Chapter 3.1.2 --- Comparison with Previous Analytical and Experimental Results --- p.33Chapter 3.2 --- Cylindrical Explosion Problem --- p.46Chapter 3.2.1 --- Physical Description --- p.46Chapter 3.2.2 --- Two-Dimensional Model --- p.49Chapter 3.3 --- Spherical Implosion Problem --- p.52Chapter 3.3.1 --- Physical Description --- p.52Chapter 3.4 --- Cylindrical Implosion Problem --- p.53Chapter 3.4.1 --- Physical Description --- p.53Chapter 3.4.2 --- Two-Dimensional Model --- p.53Chapter 4 --- Conclusion --- p.65Bibliography --- p.6