Consistency, Stability, and Convergence Numerical fluid solvers are sensitive tools. Predicting the chaotic behavior of a fluid is no joke. That is why a good numerical methods requires consistency, stability, and convergence. The scheme is consistent if the error between...

Modified Equation Analysis on the Lax-Friedrichs Method In the finite-difference method, our goal is to approximate a partial differential equation so that we can march the conserved variables in time. Today we’ll check out the Lax-Friedrischs scheme. Also known as...

Fundamental research in turbulence is hard. It requires a good understanding of applied mathematics and a firm grasp of the physical phenomena into the dynamics of fluids. The closure problem to the Reynolds Averaged Navier-Stokes (RANS) motivated leading experts to...