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Add updates and "parabolic terms" row to overview.md (#1651)
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* update overview.md

* add note on parabolic terms
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jlchan authored Oct 2, 2023
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Expand Up @@ -55,14 +55,15 @@ different features on different mesh types.
| Element type | line, square, cube | line, quadᵃ, hexᵃ | quadᵃ | quadᵃ, hexᵃ | simplex, quadᵃ, hexᵃ |
| Adaptive mesh refinement | ✅ | ❌ | ❌ | ✅ | ❌ | [`AMRCallback`](@ref)
| Solver type | [`DGSEM`](@ref) | [`DGSEM`](@ref) | [`DGSEM`](@ref) | [`DGSEM`](@ref) | [`DGMulti`](@ref) |
| Domain | hypercube | mapped hypercube | arbitrary | arbitrary | arbitraryᵇ |
| Domain | hypercube | mapped hypercube | arbitrary | arbitrary | arbitrary |
| Weak form | ✅ | ✅ | ✅ | ✅ | ✅ | [`VolumeIntegralWeakForm`](@ref)
| Flux differencing | ✅ | ✅ | ✅ | ✅ | ✅ | [`VolumeIntegralFluxDifferencing`](@ref)
| Shock capturing | ✅ | ✅ | ✅ | ✅ | ❌ | [`VolumeIntegralShockCapturingHG`](@ref)
| Nonconservative equations | ✅ | ✅ | ✅ | ✅ | ✅ | e.g., GLM MHD or shallow water equations
| Parabolic termsᵇ | ✅ | ✅ | ❌ | ✅ | ✅ | e.g., [`CompressibleNavierStokesDiffusion2D`](@ref)

ᵃ: quad = quadrilateral, hex = hexahedron
ᵇ: curved meshes supported for `SBP` and `GaussSBP` approximation types for `VolumeIntegralFluxDifferencing` solvers on quadrilateral and hexahedral `DGMultiMesh`es (non-conservative terms not yet supported)
ᵇ: Parabolic terms do not currently support adaptivity.

## Time integration methods

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