Literature

MachLine is the product of decades of research into high-speed aerodynamics and boundary element methods. We would be amiss to acknowledge the incredible contributions made by countless women and men who have contributed to this field since Ludwig Prandtl first started delving into the world of supersonic flow. Truly, we stand on the shoulders of giants. Since MachLine builds on a long legacy of linear panel methods, we here present a number of relevant sources which will give the user insight into the workings of panel methods. A good introduction is:

• Erickson, L., "Panel Methods: An Introduction," NASA Technical Paper 2995, 1990.

A thorough treatment of a previous attempt at a modern, unstructured, supersonic panel method is given in:

• Davis, J. D., A Higher-Order Method Implemented in an Unstructured Panel Code to Model Linearized Supersonic Flows, California Polytechnic State University, San Luis Obispo, 2019.

The following sources deal specifically with the development of MachLine itself:

• Goates, C. and Hunsaker, D., "Development of a Subsonic-Supersonic, Unstructured Panel Method," AIAA SciTech Conference, San Diego, CA, 2022. (Note the pilot code is referred to in this work as TriPan. The name was changed after publication to avoid confusion with a separate aerodynamic code.)

• Goates, C., Houser, A., and Hunsaker, D., "Implementation of a Subsonic-Supersonic, Unstructured Panel Method," To be submitted to the 2023 AIAA SciTech Conference, National Harbor, MD.

While not a good introduction, the following sources were relied upon heavily during the development of MachLine and may prove useful to future developers:

• Ehlers, F. E., Epton, M. A., Johnson, F. T., Magnus, A. E., and Rubbert, P. E., “A Higher Order Panel Method for Linearized Supersonic Flow,” NASA Contractor Report 3062, 1979.

• Epton, M. A., and Magnus, A. E., “PAN AIR: A computer program for predicting subsonic or supersonic linear potential flows about arbitrary configurations using a higher order panel method. Volume 1: Theory document.” NACA-CR-3251, November 1981

The field of boundary element methods is a vast and ever-changing one. We hope to have made a positive and lasting contribution to its landscape.