Derivatives for a Two-Dimensional or Axisymmetric Shock with a Uniform Freestream

In the next section, a concise notation is introduced that is used throughout the rest of the manuscript. It is especially convenient for shock wave studies. All equations are dimensional, where the shock shape, Equation (3.2), γ, the upstream pressure, p1, density, ρ1, and flow speed, V1, or M1, are presumed to be known. These parameters are sufficient for nondimensionalizing the equations. Thus, results, summarized in Appendix E, are in terms of these quantities. The appendix should be useful for the development of computational algorithms.