GAIA

Why

• Study the thermal and thermo-chemical evolution of planetary bodies
• Study the influence of plate tectonics, magnetic field development, magma oceans, partial melting and mantle differentiation
• Study the effects of varying viscosities on materials under natural convection
• Study the phenomena of natural convection in rocky and icy bodies

How

• Solves Navier-Stokes equations for incompressible, low Mach number flows
• Solves different types of energy equations
• Solves Magneto-Hydro-Dynamics (MHD) equations
• Finite-Volume discretization for Voronoi cells
• Irregular grid for arbitrary geometries (2D + 3D)
• Domain-decomposition for MPI parallelization (HPC-ready)
• GPU ready CUDA / hybrid (GPU+CPU) solver, also MPI ready
• No third party libraries or dependencies, DLR C++ code
• Optional interface to MUMPS solver for 2D applications
• Paraview plugins for visualization
• Particle / Tracer system
• Many available linear iterative solvers on CSR matrices (e.g. BiCGS(l), IDRS, GMRES, ..)

Highlights

• Natural convection of water-like substance under an extreme heat gradient: https://respawned.space/water2_264.mp4 (upper part: velocity, lower part: temperature)
• Natural convection of water-like substance under a less extreme heat gradient in 3D: https://respawned.space/Box3_264.mp4 (left: temperature, right: strain rate)
• A heavy DLR Logo with a low viscosity and brittle material sinking in a fluid: https://respawned.space/logo_fall_264.mp4 (left: material, right upper: strain rate, right lower: viscosity)
• Hot liquid in a full-sphere (core-convection) under self-gravity cooled at the boundary under a rotating reference frame: https://respawned.space/output.mp4 (left: temperature side-view, right: temperature top view onto rotation axis)

Online Demo

A JS compiled (older) version can be found here: https://gaia.respawned.space/ . Just click Run in the Run tab and switch to Temperature or Velocity tab.