Explore how early computer math tackled high-speed fluid flow, using power series to model a detached shock around a blunt body.
This report presents the feasibility of machine calculations for a class of two‑dimensional, compressible flows. With analytic data on a curved shock, it shows how flow quantities can be expanded in two variables and computed step by step, using subroutines designed for power series manipulation. The work blends theory, numerical methods, and practical testing on hardware of the era.
The book outlines the problem, the calculation method, and the results of trial calculations. It discusses how to verify accuracy and how to handle the challenges of finite precision in lengthy computations. Appendices describe the floating‑point tools and the software structure used to run the calculations, including pseudo‑code for steering the process.
- Learn how the shock shape, boundary conditions, and equation of state drive the expansion coefficients of key flow variables.
- See how Rankine–Hugoniot conditions connect conditions ahead of the shock to those immediately behind it, and how these feed the series expansions.
- Read about significance monitoring and how to judge which terms to keep to maintain reliable results.
- Get a view of the computational framework, including floating‑point subroutines, verification tests, and planned future work.
Ideal for readers interested in early computational fluid dynamics, numerical methods, and the practicalities of turning analytical models into machine calculations. This edition fits those curious about the intersection of theory, computation, and aerodynamics research.