A solutions manual is available upon qualified course adoption
Working knowledge of the relations of various quantities and their derivatives across a shock wave is useful for any advanced research involving shock waves. Although these relations can be derived in principle by any diligent student of the subject, the derivations are often not trivial, and once derived, neither the approach nor the result can be confidently verified. Comprehensive and analytical, Shock Wave Dynamics: Derivatives and Related Topics includes not only the final results but also the methods, which are of great practical value as examples of mathematical procedure in this field.
The book focuses on shock wave derivatives under various conditions and extensively covers shock-generated vorticity, including a novel analysis of triple points. Special care is given to the presentation of assumptions, implementation requirements, and the illustrative examples included for partial verification of the preceding analysis.
Designed both as a research monograph and for self study, Shock Wave Dynamics is a complete discussion of shock wave dynamics. An analytical exploration of shock wave phenomena, it will be interesting reading for experts in the field of high-speed gas dynamics. Given today's emphasis on numerical simulation, it will also be of interest to computational engineers as a source for code verification and validation.
General Jump Conditions
Basis Vector System and Shock Velocity
Two-Dimensional or Axisymmetric Formulation
Shock-Based Curvilinear Coordinates
Application to a Two-Dimensional or Axisymmetric Shock
Derivatives for a Two-Dimensional or Axisymmetric Shock with a Uniform Freestream
Unsteady, Normal Derivative Formulation
Single Mach Reflection
Oblique Shock Wave Angle
Method-of-Characteristics for a Single, First-Order Partial Differential Equation
Orthogonal Basis Derivatives
Conditions on the Downstream Side of a Two-Dimensional or Axisymmetric Shock with a Uniform Freestream
Conditions on the Downstream Side of a Two-Dimensional or Axisymmetric Shock when the Upstream Flow Is Nonuniform
General Derivative Formulation
Uniform Freestream Formulation
Elliptic Paraboloid Shock Formulation
Global, Shock-Based Coordinates
Unsteady State 2 Parameters