Shock Dynamics

This book was written as a graduate student course--Shock Dynamics. Up to now, the first author has taught this course to the graduate students in the field of Fluid Mechanics, Department of Modern Mechanics, University of Science and Technology of China for seven times. In the spring semester 1989, during his visit to the United States, the first author taught this course to the graduate students of Department of Mathemat ics, University of Colorado at Denver. At the same time, he gave a series of four lectures on Shock Dynamics to the graduate students of Department of Aerospace Engineering Sciences, University of Colorado at Boulder. In 1991, during the first author's visit to Japan, he gave some lectures on Shock Dynamics in Tohoku University, University of Tokyo and Kyushu Uni versity. The dynamic phenomena of shock waves such as propagation, diffraction, reflection, refraction and interaction of shock waves may be studied by using experimental methods, numerical calculations and theoretical analyses. Although the detailed flow patterns of phenomena of shock motion can be obtained by using experimental methods and numerical calculations of solving Euler Equation or Navier-Stokes Equation, for example, the diffractions of shock waves by wedges form various phenomena of reflection--RR, SMR, CMR and DMR, we also need to analyse the process of the formation of shock waves in various phenomena of diffraction, reflection and interaction by using theoretical methods.

Résumé
Introduces the shock dynamic method and explains the underlying concepts, then progresses to a systematic description of the methods, equations and applications of shock dynamics. This book follows the two main categories of shock; that propagating into a quiescent gas, and that into a moving gas.

Contenu
One-Dimensional Unsteady Gasdynamics.- 1. Shock Dynamics for a Quiescent Gas Ahead of a Shock Wave.- 1. Relation Between M and A for a Uniform Quiescent Gas Ahead of a Shock Wave.- 2. Two-Dimensional Equations of Shock Dynamics for a Uniform Quiescent Gas Ahead of a Shock Wave.- 3. Three-Dimensional Equations of Shock Dynamics for a Uniform Quiescent Gas Ahead of a Shock Wave.- 4. Equations of Shock Dynamics for a Nonuniform Quiescent Gas Ahead of a Shock Wave.- 2. Shock Dynamics for a Moving Gas Ahead of a Shock Wave.- 5. Two-Dimensional Equations for a Uniform Moving Gas Ahead of a Shock Wave.- 6. One- and Two-Dimensional Equations for a Nonuniform Moving Gas Ahead of a Shock Wave.- 7. Three-Dimensional Equations for a Nonuniform Moving Gas Ahead of a Shock Wave.- 3. Dynamic Phenomena of Shock Waves.- 8. Reflections of Shock Waves in Steady and Pseudosteady Flows.- 9. Reflections of Shock Waves in Unsteady Flow.- 10. Refractions of Shock Waves at Interface Between Different Media and Interaction Between Shocks.- References.- Nomenclature.