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https://github.com/OPM/opm-upscaling.git
synced 2026-08-26 13:07:11 -05:00
fixed: put multiline tex code on single line
to avoid compiler warnings about multiline comments
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@@ -191,27 +191,20 @@ namespace Opm {
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/// Darcy's law
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/// @f[
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/// \begin{aligned}
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/// v &= -K\lambda(\nabla p + \rho\vec{g}), \\
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/// \nabla\cdot v &= q.
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/// v &= -K\lambda(\nabla p + \rho\vec{g}), \\ \nabla\cdot v &= q.
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/// \end{aligned}
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/// @f]
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/// The solver is based on a hybrid discretization scheme which
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/// yields a system of linear equations of the form
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/// @f[
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/// \begin{bmatrix}
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/// B & C & D \\
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/// C^{T} & 0 & 0 \\
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/// D^{T} & 0 & 0
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/// B & C & D \\ C^{T} & 0 & 0 \\ D^{T} & 0 & 0
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/// \end{bmatrix}\,
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/// \begin{bmatrix}
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/// v \\
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/// p \\
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/// \pi
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/// v \\ p \\ \pi
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/// \end{bmatrix} =
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/// \begin{bmatrix}
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/// f \\
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/// g \\
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/// h
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/// f \\ g \\ h
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/// \end{bmatrix}
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/// @f]
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/// where @f$v@f$ represents the interface fluxes for each
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@@ -223,19 +216,13 @@ namespace Opm {
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/// form
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/// @f[
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/// \begin{bmatrix}
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/// B & C & D \\
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/// 0 & -L & -F \\
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/// 0 & 0 & S
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/// B & C & D \\ 0 & -L & -F \\ 0 & 0 & S
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/// \end{bmatrix}\,
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/// \begin{bmatrix}
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/// v \\
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/// -p \\
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/// \pi
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/// v \\ -p \\ \pi
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/// \end{bmatrix} =
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/// \begin{bmatrix}
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/// f \\
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/// \hat{g} \\
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/// r
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/// f \\ \hat{g} \\ r
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/// \end{bmatrix}
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/// @f]
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/// where @f$L = C^{T}B^{-1}C@f$, @f$F=C^{T}B^{-1}D@f$, and
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@@ -250,8 +237,7 @@ namespace Opm {
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/// systems
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/// @f[
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/// \begin{aligned}
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/// Lp &= \hat{g} + F\pi \\
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/// Bv &= f + Cp - D\pi
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/// Lp &= \hat{g} + F\pi \\ Bv &= f + Cp - D\pi
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/// \end{aligned}
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/// @f]
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/// Specifically, the matrix @f$L@f$ is diagonal (a single
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