This is just the start of this endeavor. Part of the reason is to provide a platform for my opinions that aren’t fit for work, the second part is to practice writing, and the third is to try this form of media. Next time I’ll introduce myself in more detail, then get to some real content.
What does “the regularized singularity” mean?
Compressible fluid flows forms shock waves naturally. Mathematically these are singular, meaning they represent a discontinuous change in the fluid. In the real world, viscosity and heat conduction being diffusion processes actually make a shock wave continuous and help enforce the second law of thermodynamics (produce entropy). Numerically, we often to the same thing as a way of computing the discontinuous solution on a computational grid. This is a regularized singularity. This is the beginning of fun and games.
More later. Bill