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Welcome to Dedalus

Dedalus is a flexible framework for solving partial differential equations using spectral methods. Developed by researchers in fluid dynamics, it provides a powerful Python interface for symbolic equation specification and efficient numerical solving.

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Key Features

Symbolic Equations

Write PDEs using intuitive symbolic syntax with automatic vectorial operations

Multiple Geometries

Support for Cartesian, disk, annulus, sphere, spherical shell, and ball domains

Problem Types

Built-in support for IVP, EVP, LBVP, and NLBVP formulations

Parallel Computing

Automatic MPI parallelization for large-scale simulations

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Quick Example

Here’s how to set up a simple PDE problem in Dedalus: 
import dedalus.public as d3
import numpy as np

# Create coordinates and domain
coords = d3.CartesianCoordinates('x', 'y')
dist = d3.Distributor(coords, dtype=np.float64)
xbasis = d3.RealFourier(coords['x'], size=256, bounds=(0, 2*np.pi))
ybasis = d3.RealFourier(coords['y'], size=256, bounds=(0, 2*np.pi))

# Create fields
u = dist.Field(name='u', bases=(xbasis, ybasis))
v = dist.Field(name='v', bases=(xbasis, ybasis))

# Set up problem with symbolic equations
problem = d3.IVP([u, v], namespace=locals())
problem.add_equation("dt(u) - lap(u) = -u*dx(u) - v*dy(u)")
problem.add_equation("dt(v) - lap(v) = -u*dx(v) - v*dy(v)")

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Get Started

Installation

Install Dedalus and its dependencies

Quickstart Tutorial

Build your first simulation in minutes

Core Concepts

Learn the fundamental concepts

Examples

Explore real-world example problems

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Community & Resources

GitHub Repository

View source code and contribute

Mailing List

Join the Dedalus user community

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