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Bump crate-ci/typos from 1.16.1 to 1.16.2 (#1598)
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* Bump crate-ci/typos from 1.16.1 to 1.16.2

Bumps [crate-ci/typos](https://github.com/crate-ci/typos) from 1.16.1 to 1.16.2.
- [Release notes](https://github.com/crate-ci/typos/releases)
- [Changelog](https://github.com/crate-ci/typos/blob/master/CHANGELOG.md)
- [Commits](crate-ci/typos@v1.16.1...v1.16.2)

---
updated-dependencies:
- dependency-name: crate-ci/typos
  dependency-type: direct:production
  update-type: version-update:semver-patch
...

Signed-off-by: dependabot[bot] <[email protected]>

* f_sur -> f_surface

---------

Signed-off-by: dependabot[bot] <[email protected]>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>
Co-authored-by: Hendrik Ranocha <[email protected]>
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dependabot[bot] and ranocha authored Aug 8, 2023
1 parent e76ea39 commit 6c97c48
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2 changes: 1 addition & 1 deletion .github/workflows/SpellCheck.yml
Original file line number Diff line number Diff line change
Expand Up @@ -10,4 +10,4 @@ jobs:
- name: Checkout Actions Repository
uses: actions/checkout@v3
- name: Check spelling
uses: crate-ci/[email protected].1
uses: crate-ci/[email protected].2
6 changes: 3 additions & 3 deletions docs/literate/src/files/DGSEM_FluxDiff.jl
Original file line number Diff line number Diff line change
Expand Up @@ -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.


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