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double backticks
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JoshuaLampert committed Aug 30, 2024
1 parent 1fce07e commit 65c4294
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6 changes: 3 additions & 3 deletions src/equations/bbm_bbm_1d.jl
Original file line number Diff line number Diff line change
Expand Up @@ -403,8 +403,8 @@ function solve_system_matrix!(dv, system_matrix, ::BBMBBMEquations1D)
end

# Discretization that conserves
# - the total water (integral of `h`) as a linear invariant
# - the total momentum (integral of `v`) as a linear invariant for flat bathymetry
# - the total water (integral of ``h``) as a linear invariant
# - the total momentum (integral of ``v``) as a linear invariant for flat bathymetry
# - the total energy
# for periodic boundary conditions, see
# - Joshua Lampert and Hendrik Ranocha (2024)
Expand Down Expand Up @@ -474,7 +474,7 @@ function rhs!(dq, q, t, mesh, equations::BBMBBMEquations1D, initial_condition,
end

# Discretization that conserves
# - the total water (integral of `h`) as a linear invariant
# - the total water (integral of ``h``) as a linear invariant
# - the total energy
# for periodic boundary conditions, see
# - Joshua Lampert and Hendrik Ranocha (2024)
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4 changes: 2 additions & 2 deletions src/equations/hyperbolic_serre_green_naghdi_1d.jl
Original file line number Diff line number Diff line change
Expand Up @@ -73,7 +73,7 @@ References for the hyperbolized Serre-Green-Naghdi system can be found in
[DOI: 10.1007/s10915-021-01429-8](https://doi.org/10.1007/s10915-021-01429-8)
The semidiscretization implemented here conserves
- the total water mass (integral of `h`) as a linear invariant
- the total water mass (integral of ``h``) as a linear invariant
- the total modified energy
for periodic boundary conditions (see Ranocha and Ricchiuto (2024)).
Expand Down Expand Up @@ -271,7 +271,7 @@ function create_cache(mesh, equations::HyperbolicSerreGreenNaghdiEquations1D,
end

# Discretization that conserves
# - the total water mass (integral of `h`) as a linear invariant
# - the total water mass (integral of ``h``) as a linear invariant
# - the total modified energy
# for periodic boundary conditions, see
# - Hendrik Ranocha and Mario Ricchiuto (2024)
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4 changes: 2 additions & 2 deletions src/equations/serre_green_naghdi_1d.jl
Original file line number Diff line number Diff line change
Expand Up @@ -302,8 +302,8 @@ function assemble_system_matrix!(cache, h, b_x, D1, D1mat,
end

# Discretization that conserves
# - the total water mass (integral of `h`) as a linear invariant
# - the total momentum (integral of `h v`) as a nonlinear invariant for flat bathymetry
# - the total water mass (integral of ``h``) as a linear invariant
# - the total momentum (integral of ``h v``) as a nonlinear invariant for flat bathymetry
# - the total modified energy
# for periodic boundary conditions, see
# - Hendrik Ranocha and Mario Ricchiuto (2024)
Expand Down
4 changes: 2 additions & 2 deletions src/equations/svaerd_kalisch_1d.jl
Original file line number Diff line number Diff line change
Expand Up @@ -225,8 +225,8 @@ function assemble_system_matrix!(cache, h, D1, D1mat,
end

# Discretization that conserves
# - the total water (integral of `h`) as a linear invariant
# - the total momentum (integral of `h v`) as a nonlinear invariant for flat bathymetry
# - the total water (integral of ``h``) as a linear invariant
# - the total momentum (integral of ``h v``) as a nonlinear invariant for flat bathymetry
# - the total modified energy
# for periodic boundary conditions, see
# - Joshua Lampert and Hendrik Ranocha (2024)
Expand Down

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