What is SWEET?

This software allows a fast exploration / investigation / prototyping of time discretization methods for PDEs which can be solved with global spectral methods (Fourier & Spherical harmonics).

It’s made to

  • accelerate research around the development of numerical time integration methods
  • investigate new ways to express parallelization
  • do some early investigations in scalability of novel time integration methods (e.g., parallel-in-time)

:scroll: Check-out the list tutorials for some usage examples …

What is SWEET NOT?

SWEET is not intended to be any production HPC code to replace any dynamical cores (yet :wink:).

Example

Features

Domains

SWEET supports periodic boundary conditions for

  • the bi-periodic plane (2D torus)
  • the sphere

Space discretization

  • PLANE: Spectral methods based on Fourier space
  • PLANE: Finite differences (with convolution in spectral space)
  • SPHERE: Spherical Harmonics

Time discretization

  • Explicit RK
  • Implicit RK
  • Leapfrog
  • Crank-Nicolson
  • Semi-Lagrangian
  • Parallel-in-time
    • Parareal
    • PFASST
    • Rational approximation of exponential integrators (REXI)
      • T-REXI (Terry’s method)
      • CI-REXI (Cauchy Contour integral method)
      • B-REXI
  • Spectral Deferred Corrections
  • …and many more time steppers…

Special features

  • Graphical user interface
  • Fast Helmholtz solver in spectral space
  • Easy-to-code in C++
  • …

Applications and benchmarks

There’s support for various applications

  • Shallow-water equations on plane/sphere
  • Advection
  • Burgers’
  • …