diff --git a/.github/workflows/SpellCheck.yml b/.github/workflows/SpellCheck.yml index f72c3b0947b..a1a429cad97 100644 --- a/.github/workflows/SpellCheck.yml +++ b/.github/workflows/SpellCheck.yml @@ -10,4 +10,4 @@ jobs: - name: Checkout Actions Repository uses: actions/checkout@v3 - name: Check spelling - uses: crate-ci/typos@v1.16.1 + uses: crate-ci/typos@v1.16.2 diff --git a/docs/literate/src/files/DGSEM_FluxDiff.jl b/docs/literate/src/files/DGSEM_FluxDiff.jl index cf3b0a1dbd4..5ec156ebbe3 100644 --- a/docs/literate/src/files/DGSEM_FluxDiff.jl +++ b/docs/literate/src/files/DGSEM_FluxDiff.jl @@ -96,13 +96,13 @@ # \begin{align*} # J \underline{\dot{u}}(t) &= - M^{-1} B (\underline{f}^* - \underline{f}) - 2D \underline{f}_{vol}(u^-, u^+)\\[5pt] # &= - M^{-1} B (\underline{f}^* - \underline{f}_{vol}(\underline{u}, \underline{u})) - 2D \underline{f}_{vol}(u^-, u^+)\\[5pt] -# &= - M^{-1} B \underline{f}_{sur}^* - (2D - M^{-1} B) \underline{f}_{vol}\\[5pt] -# &= - M^{-1} B \underline{f}_{sur}^* - D_{split} \underline{f}_{vol} +# &= - M^{-1} B \underline{f}_{surface}^* - (2D - M^{-1} B) \underline{f}_{vol}\\[5pt] +# &= - M^{-1} B \underline{f}_{surface}^* - D_{split} \underline{f}_{vol} # \end{align*} # ``` # This formulation is in a weak form type formulation and can be implemented by using the derivative # split matrix $D_{split}=(2D-M^{-1}B)$ and two different fluxes. We divide between the surface -# flux $f=f_{sur}$ used for the numerical flux $f_{sur}^*$ and the already mentioned volume +# flux $f=f_{surface}$ used for the numerical flux $f_{surface}^*$ and the already mentioned volume # flux $f_{vol}$ especially for this formulation.