V.2.21 — Ff2d

Many undergraduate CFD courses use FF2D v.2.21 to teach the Navier-Stokes equations for incompressible flow. Students can modify the source code (available in C++ with OpenGL) to experiment with different solvers, advection schemes (semi-Lagrangian vs. MacCormack), and time integration methods.

For Python users using the PyFF2D wrapper, the transition is handled automatically via the wheel package. Simply run: ff2d v.2.21

pip install ff2d --upgrade

For C++ users, download the new ff2d_v2.21.hpp header, replace the old include, and run your compiler with the new -DFF2D_ENABLE_PRECISION_RASTER flag. Many undergraduate CFD courses use FF2D v

The visual outputs of FF2D—especially with multiple dyes and obstacle configurations—produce organic, chaotic patterns. Artists pair v.2.21 with screen recording software to generate loops of fluid motion, often layering the outputs in After Effects or TouchDesigner. For C++ users, download the new ff2d_v2

With its new capabilities, ff2d v.2.21 is particularly suited for the following niches: