trixi-framework · ranocha · Feb 25, 2025 · Feb 25, 2025
diff --git a/examples/structured_2d_dgsem/elixir_shallowwater_conical_island.jl b/examples/structured_2d_dgsem/elixir_shallowwater_conical_island.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/structured_2d_dgsem/elixir_shallowwater_parabolic_bowl.jl b/examples/structured_2d_dgsem/elixir_shallowwater_parabolic_bowl.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/structured_2d_dgsem/elixir_shallowwater_source_terms.jl b/examples/structured_2d_dgsem/elixir_shallowwater_source_terms.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/structured_2d_dgsem/elixir_shallowwater_well_balanced.jl b/examples/structured_2d_dgsem/elixir_shallowwater_well_balanced.jl
@@ -1,6 +1,6 @@
 
 using Downloads: download
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/structured_2d_dgsem/elixir_shallowwater_well_balanced_wet_dry.jl b/examples/structured_2d_dgsem/elixir_shallowwater_well_balanced_wet_dry.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 using Printf: @printf, @sprintf

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_beach.jl b/examples/tree_1d_dgsem/elixir_shallowwater_beach.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_ec.jl b/examples/tree_1d_dgsem/elixir_shallowwater_ec.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_exner_channel.jl b/examples/tree_1d_dgsem/elixir_shallowwater_exner_channel.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 using Roots

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_exner_source_terms_grass.jl b/examples/tree_1d_dgsem/elixir_shallowwater_exner_source_terms_grass.jl
@@ -1,4 +1,4 @@
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_exner_source_terms_mpm.jl b/examples/tree_1d_dgsem/elixir_shallowwater_exner_source_terms_mpm.jl
@@ -1,4 +1,4 @@
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_exner_well_balanced.jl b/examples/tree_1d_dgsem/elixir_shallowwater_exner_well_balanced.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_multilayer_beach.jl b/examples/tree_1d_dgsem/elixir_shallowwater_multilayer_beach.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_multilayer_convergence.jl b/examples/tree_1d_dgsem/elixir_shallowwater_multilayer_convergence.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_multilayer_dam_break_ec.jl b/examples/tree_1d_dgsem/elixir_shallowwater_multilayer_dam_break_ec.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_multilayer_dam_break_es.jl b/examples/tree_1d_dgsem/elixir_shallowwater_multilayer_dam_break_es.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_multilayer_dam_break_es_dry.jl b/examples/tree_1d_dgsem/elixir_shallowwater_multilayer_dam_break_es_dry.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_multilayer_parabolic_bowl.jl b/examples/tree_1d_dgsem/elixir_shallowwater_multilayer_parabolic_bowl.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 
@@ -41,7 +41,7 @@ function initial_condition_parabolic_bowl(x, t,
 
     H = sigma * h_0 / a^2 * (2 * x[1] * cos(ω * t) - sigma) + h_0
 
-    #= 
+    #=
     It is mandatory to shift the water level at dry areas to make sure the water height h
     stays positive. The system would not be stable for h set to a hard 0 due to division by h in
     the computation of velocity, e.g., (h v) / h. Therefore, a small dry state threshold

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_multilayer_well_balanced.jl b/examples/tree_1d_dgsem/elixir_shallowwater_multilayer_well_balanced.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_multilayer_well_balanced_wet_dry.jl b/examples/tree_1d_dgsem/elixir_shallowwater_multilayer_well_balanced_wet_dry.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 
@@ -15,12 +15,12 @@ equations = ShallowWaterMultiLayerEquations1D(gravity_constant = 1.0, H0 = 2.0,
 
 Initial condition with a complex (discontinuous) bottom topography to test well-balancedness for a
 two-layer shallow water system with dry states if `perturbation` is set to `false`.
-Additionally, it is possible to set a perturbation in the lower layer to test perturbations from the 
+Additionally, it is possible to set a perturbation in the lower layer to test perturbations from the
 lake-at-rest condition by setting the `perturbation` variable to `true`.
 
 The initial condition is taken from the paper:
   - S. Martínez-Aranda, A. Ramos-Pérez, P. García-Navarro (2020)
-    A 1D shallow-ﬂow model for two-layer ﬂows based on FORCE scheme with wet–dry treatment\n 
+    A 1D shallow-ﬂow model for two-layer ﬂows based on FORCE scheme with wet–dry treatment\n
     [DOI:10.2166/hydro.2020.002](https://doi.org/10.2166/hydro.2020.002)
 """
 function initial_condition_twolayer_well_balanced_wet_dry(perturbation::Bool,
@@ -78,7 +78,7 @@ function initial_condition_twolayer_well_balanced_wet_dry(perturbation::Bool,
         v1_upper = zero(H_upper)
         v1_lower = zero(H_upper)
 
-        #= 
+        #=
         It is mandatory to shift the water level at dry areas to make sure the water height h
         stays positive. The system would not be stable for h set to a hard 0 due to division by h in
         the computation of velocity, e.g., (h v) / h. Therefore, a small dry state threshold
@@ -122,7 +122,7 @@ solver = DGSEM(basis, surface_flux, volume_integral)
 ###############################################################################
 # Get the TreeMesh and setup a periodic mesh
 
-# The domain of interest [0.0, 100.0] is extended towards -28.0 to match the positions of the 
+# The domain of interest [0.0, 100.0] is extended towards -28.0 to match the positions of the
 # disctontinuities with TreeMesh.
 coordinates_min = -28.0
 coordinates_max = 100.0

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_parabolic_bowl.jl b/examples/tree_1d_dgsem/elixir_shallowwater_parabolic_bowl.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_shock_capturing.jl b/examples/tree_1d_dgsem/elixir_shallowwater_shock_capturing.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_source_terms.jl b/examples/tree_1d_dgsem/elixir_shallowwater_source_terms.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_source_terms_dirichlet.jl b/examples/tree_1d_dgsem/elixir_shallowwater_source_terms_dirichlet.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_twolayer_convergence.jl b/examples/tree_1d_dgsem/elixir_shallowwater_twolayer_convergence.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_twolayer_dam_break.jl b/examples/tree_1d_dgsem/elixir_shallowwater_twolayer_dam_break.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_twolayer_well_balanced.jl b/examples/tree_1d_dgsem/elixir_shallowwater_twolayer_well_balanced.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_well_balanced.jl b/examples/tree_1d_dgsem/elixir_shallowwater_well_balanced.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_well_balanced_nonperiodic.jl b/examples/tree_1d_dgsem/elixir_shallowwater_well_balanced_nonperiodic.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_1d_dgsem/elixir_shallowwater_well_balanced_wet_dry.jl b/examples/tree_1d_dgsem/elixir_shallowwater_well_balanced_wet_dry.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using Printf: @printf, @sprintf
 using TrixiShallowWater

diff --git a/examples/tree_2d_dgsem/elixir_shallowwater_conical_island.jl b/examples/tree_2d_dgsem/elixir_shallowwater_conical_island.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_2d_dgsem/elixir_shallowwater_ec.jl b/examples/tree_2d_dgsem/elixir_shallowwater_ec.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_2d_dgsem/elixir_shallowwater_multilayer_convergence.jl b/examples/tree_2d_dgsem/elixir_shallowwater_multilayer_convergence.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_2d_dgsem/elixir_shallowwater_multilayer_dam_break.jl b/examples/tree_2d_dgsem/elixir_shallowwater_multilayer_dam_break.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_2d_dgsem/elixir_shallowwater_multilayer_dam_break_dry.jl b/examples/tree_2d_dgsem/elixir_shallowwater_multilayer_dam_break_dry.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 
@@ -88,10 +88,10 @@ semi = SemidiscretizationHyperbolic(mesh, equations, initial_condition, solver,
 tspan = (0.0, 2.0)
 ode = semidiscretize(semi, tspan)
 ###############################################################################
-#= 
-Workaround for TreeMesh2D to set true discontinuities for debugging and testing. 
+#=
+Workaround for TreeMesh2D to set true discontinuities for debugging and testing.
 Essentially, this is a slight augmentation of the `compute_coefficients` where the `x` node values
-passed here are slightly perturbed in order to set a true discontinuity that avoids the doubled 
+passed here are slightly perturbed in order to set a true discontinuity that avoids the doubled
 value of the LGL nodes at a particular element interface.
 =#
 

diff --git a/examples/tree_2d_dgsem/elixir_shallowwater_multilayer_well_balanced.jl b/examples/tree_2d_dgsem/elixir_shallowwater_multilayer_well_balanced.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_2d_dgsem/elixir_shallowwater_parabolic_bowl.jl b/examples/tree_2d_dgsem/elixir_shallowwater_parabolic_bowl.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_2d_dgsem/elixir_shallowwater_source_terms.jl b/examples/tree_2d_dgsem/elixir_shallowwater_source_terms.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_2d_dgsem/elixir_shallowwater_source_terms_dirichlet.jl b/examples/tree_2d_dgsem/elixir_shallowwater_source_terms_dirichlet.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_2d_dgsem/elixir_shallowwater_twolayer_convergence.jl b/examples/tree_2d_dgsem/elixir_shallowwater_twolayer_convergence.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_2d_dgsem/elixir_shallowwater_twolayer_well_balanced.jl b/examples/tree_2d_dgsem/elixir_shallowwater_twolayer_well_balanced.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_2d_dgsem/elixir_shallowwater_wall.jl b/examples/tree_2d_dgsem/elixir_shallowwater_wall.jl
@@ -1,4 +1,4 @@
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_2d_dgsem/elixir_shallowwater_well_balanced.jl b/examples/tree_2d_dgsem/elixir_shallowwater_well_balanced.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_2d_dgsem/elixir_shallowwater_well_balanced_wall.jl b/examples/tree_2d_dgsem/elixir_shallowwater_well_balanced_wall.jl
@@ -1,4 +1,4 @@
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/tree_2d_dgsem/elixir_shallowwater_well_balanced_wet_dry.jl b/examples/tree_2d_dgsem/elixir_shallowwater_well_balanced_wet_dry.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 using Printf: @printf, @sprintf

diff --git a/examples/unstructured_2d_dgsem/elixir_shallowwater_dirichlet.jl b/examples/unstructured_2d_dgsem/elixir_shallowwater_dirichlet.jl
@@ -1,6 +1,6 @@
 
 using Downloads: download
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/unstructured_2d_dgsem/elixir_shallowwater_ec.jl b/examples/unstructured_2d_dgsem/elixir_shallowwater_ec.jl
@@ -1,6 +1,6 @@
 
 using Downloads: download
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/unstructured_2d_dgsem/elixir_shallowwater_ec_shockcapturing.jl b/examples/unstructured_2d_dgsem/elixir_shallowwater_ec_shockcapturing.jl
@@ -1,6 +1,6 @@
 
 using Downloads: download
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/unstructured_2d_dgsem/elixir_shallowwater_multilayer_convergence.jl b/examples/unstructured_2d_dgsem/elixir_shallowwater_multilayer_convergence.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater
 

diff --git a/examples/unstructured_2d_dgsem/elixir_shallowwater_multilayer_dam_break.jl b/examples/unstructured_2d_dgsem/elixir_shallowwater_multilayer_dam_break.jl
@@ -1,5 +1,5 @@
 
-using OrdinaryDiffEq
+using OrdinaryDiffEqSSPRK, OrdinaryDiffEqLowStorageRK
 using Trixi
 using TrixiShallowWater