diff --git a/src/equations/bbm_bbm_1d.jl b/src/equations/bbm_bbm_1d.jl index 0471104e..5ffe2c90 100644 --- a/src/equations/bbm_bbm_1d.jl +++ b/src/equations/bbm_bbm_1d.jl @@ -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) @@ -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) diff --git a/src/equations/hyperbolic_serre_green_naghdi_1d.jl b/src/equations/hyperbolic_serre_green_naghdi_1d.jl index 6db6107d..d550f154 100644 --- a/src/equations/hyperbolic_serre_green_naghdi_1d.jl +++ b/src/equations/hyperbolic_serre_green_naghdi_1d.jl @@ -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)). @@ -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) diff --git a/src/equations/serre_green_naghdi_1d.jl b/src/equations/serre_green_naghdi_1d.jl index f07fcb7e..97a7b879 100644 --- a/src/equations/serre_green_naghdi_1d.jl +++ b/src/equations/serre_green_naghdi_1d.jl @@ -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) diff --git a/src/equations/svaerd_kalisch_1d.jl b/src/equations/svaerd_kalisch_1d.jl index adf7111a..30df899f 100644 --- a/src/equations/svaerd_kalisch_1d.jl +++ b/src/equations/svaerd_kalisch_1d.jl @@ -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)