Dedalus is a flexible framework for solving partial differential equations using modern spectral methods. The code is open-source and developed by a team of researchers studying astrophysical, geophysical, and biological fluid dynamics.
Dedalus is written primarily in Python and features an easy-to-use interface with symbolic vectorial equation specification. For example, to simulate incompressible hydrodynamics in a ball, you can symbolically enter the equations, including gauge conditions and boundary conditions enforced with the tau method, as:
problem.add_equation("div(u) + tau_p = 0")
problem.add_equation("dt(u) - nu*lap(u) + grad(p) + lift(tau_u) = - u@grad(u)")
problem.add_equation("u(r=1) = 0")
problem.add_equation("integ(p) = 0")
Our numerical algorithms produce sparse and spectrally accurate discretizations of PDEs on simple domains, including Cartesian domains of any dimension, disks, annuli, spheres, spherical shells, and balls:
The resulting systems are efficiently solved using compiled libraries and are automatically parallelized using MPI. See the documentation for tutorials and additional examples.
- Project homepage: https://dedalus-project.org
- Code repository: https://github.com/DedalusProject/dedalus
- Documentation: https://dedalus-project.readthedocs.org
- Mailing list: https://groups.google.com/forum/#!forum/dedalus-users