How to solve the flow around a two‑dimensional blunt body when the shock and the flow interact in complex ways.
This book explains practical methods for predicting the flow and wake when the shock wave is unknown and must be determined along with the body. It compares different formulations, including a first‑order system and a velocity–stream function approach, and shows how extending one independent variable into the complex domain can render the equations hyperbolic and the Cauchy problem well posed. The treatments include both theory and concrete numerical schemes, with attention to stability and accuracy.
Readers will see how difference schemes are built and tested, including how to achieve high precision on a challenging hypersonic problem. The work also covers computational challenges, such as handling the sonic line and ensuring convergence against experimental data.
- Three formulations of the problem and why one helps near the sonic line.
- How complex extension makes the flow equations more tractable for numerical solution.
- Construction and stability analysis of second‑order difference schemes.
- Practical results for Mach 6 flow and discussion of accuracy against data.
Ideal for readers of advanced computational fluid dynamics and hypersonic flow analysis looking for concrete methods and real‑world results.