There are probably as many numerical schemes to solve the discretised Navier-Stokes equations as there are stars in the Milky Way. Well, perhaps a few less. Just have a look at OpenFOAM, and you’ll find over 60 discretisation schemes for the non-linear term in the Navier-Stokes equations. And, while that number seems impressive, I am …
Space and time integration schemes for CFD applications Read More »
In our article on how to derive the Navier-Stokes equations from scratch, I showed you how we can derive the governing equations of fluid mechanics. Once we have found an equation that we want to solve, and we do not have an analytic solution available, we have to approximate a solution to that equation, for …
In this article, I want to quick-start our discussion on libraries and introduce a model problem that is simple enough for us to code, yet can be exploited to show how we can develop a library that is solving a real-world CFD problem; solving the linear system of equations . While we are limiting ourselves …
How to write a CFD library: Discretising the model equation Read More »