Dedalus Project

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.

Links

• Project homepage: http://dedalus-project.org
• Code repository: https://github.com/DedalusProject/dedalus
• Documentation: http://dedalus-project.readthedocs.org
• Mailing list: https://groups.google.com/forum/#!forum/dedalus-users

Developers

• Keaton Burns (@kburns)
• Geoff Vasil (@geoffvasil)
• Jeff Oishi (@jsoishi)
• Daniel Lecoanet (@lecoanet)
• Ben Brown (@bpbrown)