Open Access
Table 1
Equation sets available in MPI-AMRVAC 3.0.
| Module name | Purpose | Equations or reference |
|---|---|---|
| rho | linear scalar advection | ∂tρ + v · ∇ρ = 0 |
| constant velocity vector v | ||
| rd | reaction-diffusion systems | ∂t u = diag(Di)∇2 u + f (u) |
| 8 different PDE systems, 1 to 3 u components | Keppens et al. (2021) | |
| doc/reaction_diffusion.md | ||
| ard | advection-reaction-diffusion systems | ∂tu + (v/p) · ∇up = diag(Di)∇2u + f(u) |
| 8 different PDE systems, 1 to 3 u components | ||
| nonlinear advection for integer p > 1 | doc/advection_reaction_diffusion.md | |
| nonlinear | scalar nonlinear advection | ∂tρ + ∇· F(ρ, x, t) = g |
| inviscid Burgers or non-convex equation, Korteweg-De Vries | Keppens & Porth (2014) | |
| hd | Euler to Navier-Stokes equations for gas dynamics | Porth et al. (2014) |
| with or without tracer quantities | ||
| with or without added dust species | see Sect. 4.1.2 and doc/dust.md | |
| mhd | Ideal to (visco-)resistive (+Hall) MHD equations | Porth et al. (2014) |
| semi-relativistic MHD equations | as in Gombosi et al. (2002) | |
| with or without tracer quantities | ||
| splitting strategies for B = B0 + B1 | Xia et al. (2018) | |
| split-off magneto-hydrostatic −∇p0 + ρ0g + J0 × B0 = 0 | Yadav et al. (2022) | |
| rhd | radiation hydrodynamics | Moens et al. (2022) |
| Flux-limited-diffusion approximation | ||
| mf | magneto-frictional module | Sect. 6.1 |
| 2D, 2.5D, and 3D magnetic field simulations | ||
| twofl | plasma-neutral 2-fluid module | Popescu Braileanu & Keppens (2022) |
| chromospheric to coronal physics | doc/twofluid.md | |
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