ERC project THEIA

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In the frame of the ERC project THEIA, we develop from scratch new codes (e.g. ToCCo), or we modify existing efficient codes (e.g. XSHELLS) to investigate small and large scale topographic effects. We detail below some of the codes currently developed and used in the project:

1. ToCCo (Topographic Coupling at Core-Mantle interface), developed by R. Monville, combines symbolic and arbitrary-precision numerical calculations in a local Cartesian box in order to calculate the Boussinesq magneto-hydrodynamic laminar flow along one or two (possibly conducting) solid domains, forced by rotation, topographic, buoyancy and magnetic effects (providing the total boundary stress from pressure, viscous and electromagnetic forces).
Associated ERC project publications: Monville, Cébron, Jault (2022, in prep.)

2. SHINE (Solver for Hydromagnetic INviscid modes in Ellipsoids), developed by J. Vidal computes the diffusionless hydromagnetic eigenmodes of either Boussinesq or fully compressible fluids enclosed in co-rotating triaxial ellipsoids. The code handles polynomial perturbations of unprecedented spatial complexity.
Associated ERC project publications: Vidal & Cébron (2020, PRSA), Vidal & Cébron (2021, JASA), Vidal & Cébron (2021, PRSA)

3. SWAN (Short-Wavelength stability ANalysis), developed by J. Vidal, probes the linear hydromagnetic stability of generic Boussinesq basic states, by considering short-wavelength perturbations (Lifschitz & Hameiri, 1991). This code gives sufficient conditions for local diffusionless instability.
Associated ERC project publications: Vidal & Cébron (2022, in prep.)

4. SIREN (Stability with IneRtial eigENmodes), developed by J. Vidal, probes the linear stability of arbitrary basic flows of uniform vorticity, forced by orbital forcings and enclosed within rigid ellipsoids. The code handles polynomial perturbations of unprecedented spatial complexity in the ellipsoid.
Associated ERC project publications: Vidal & Cébron (2022, in prep.)

5. XSHELLS, developed by N. Schaeffer, performs spectral direct numerical simulations (DNS) in spherical geometries using sphericl harmonics.
Associated ERC project publications: Cébron et al. (2021)