@@ -77,15 +77,15 @@ struct CovariantShallowWaterEquations2D{GlobalCoordinateSystem, RealT <: Real} <
7777end
7878
7979# Until we implement bottom topography, there are no nonconservative terms
80- Trixi . have_nonconservative_terms (:: CovariantShallowWaterEquations2D ) = False ()
80+ have_nonconservative_terms (:: CovariantShallowWaterEquations2D ) = False ()
8181
8282# The conservative variables are the height and contravariant momentum components
83- function Trixi . varnames (:: typeof (cons2cons), :: AbstractCovariantShallowWaterEquations2D )
83+ function varnames (:: typeof (cons2cons), :: AbstractCovariantShallowWaterEquations2D )
8484 return (" h" , " h_vcon1" , " h_vcon2" )
8585end
8686
8787# The primitive variables are the height and contravariant velocity components
88- function Trixi . varnames (:: typeof (cons2prim), :: AbstractCovariantShallowWaterEquations2D )
88+ function varnames (:: typeof (cons2prim), :: AbstractCovariantShallowWaterEquations2D )
8989 return (" H" , " vcon1" , " vcon2" )
9090end
9191
9494# equations.global_coordinate_system (e.g. spherical or Cartesian). This transformation
9595# works for both primitive and conservative variables, although varnames refers
9696# specifically to transformations from conservative variables.
97- function Trixi . varnames (:: typeof (contravariant2global),
98- :: AbstractCovariantShallowWaterEquations2D )
97+ function varnames (:: typeof (contravariant2global),
98+ :: AbstractCovariantShallowWaterEquations2D )
9999 return (" h" , " h_v1" , " h_v2" , " h_v3" )
100100end
101101
102102# Convenience functions to extract physical variables from state vector
103- @inline Trixi . waterheight (u, :: AbstractCovariantShallowWaterEquations2D ) = u[1 ]
103+ @inline waterheight (u, :: AbstractCovariantShallowWaterEquations2D ) = u[1 ]
104104@inline velocity_contravariant (u,
105105:: AbstractCovariantShallowWaterEquations2D ) = SVector (u[2 ] /
106106 u[1 ],
@@ -110,24 +110,24 @@ end
110110:: AbstractCovariantShallowWaterEquations2D ) = SVector (u[2 ],
111111 u[3 ])
112112
113- @inline function Trixi . cons2prim (u, aux_vars,
114- equations:: AbstractCovariantShallowWaterEquations2D )
113+ @inline function cons2prim (u, aux_vars,
114+ equations:: AbstractCovariantShallowWaterEquations2D )
115115 h, h_vcon1, h_vcon2 = u
116116 h_s = bottom_topography (aux_vars, equations)
117117 return SVector (h + h_s, h_vcon1 / h, h_vcon2 / h)
118118end
119119
120- @inline function Trixi . prim2cons (u, aux_vars,
121- equations:: AbstractCovariantShallowWaterEquations2D )
120+ @inline function prim2cons (u, aux_vars,
121+ equations:: AbstractCovariantShallowWaterEquations2D )
122122 H, vcon1, vcon2 = u
123123 h_s = bottom_topography (aux_vars, equations)
124124 h = H - h_s
125125 return SVector (h, h * vcon1, h * vcon2)
126126end
127127
128128# Entropy variables are w = (g(h+hₛ) - (v₁v¹ + v₂v²)/2, v₁, v₂)ᵀ
129- @inline function Trixi . cons2entropy (u, aux_vars,
130- equations:: AbstractCovariantShallowWaterEquations2D )
129+ @inline function cons2entropy (u, aux_vars,
130+ equations:: AbstractCovariantShallowWaterEquations2D )
131131 h = waterheight (u, equations)
132132 h_s = bottom_topography (aux_vars, equations)
133133 vcon = velocity_contravariant (u, equations)
153153end
154154
155155# Entropy function (total energy) given by S = (h(v₁v¹ + v₂v²) + gh² + ghhₛ)/2
156- @inline function Trixi . entropy (u, aux_vars,
157- equations:: AbstractCovariantShallowWaterEquations2D )
156+ @inline function entropy (u, aux_vars,
157+ equations:: AbstractCovariantShallowWaterEquations2D )
158158 h = waterheight (u, equations)
159159 h_s = bottom_topography (aux_vars, equations)
160160 vcon = velocity_contravariant (u, equations)
165165
166166# Flux as a function of the state vector u, as well as the auxiliary variables aux_vars,
167167# which contain the geometric information required for the covariant form
168- @inline function Trixi . flux (u, aux_vars, orientation:: Integer ,
169- equations:: CovariantShallowWaterEquations2D )
168+ @inline function flux (u, aux_vars, orientation:: Integer ,
169+ equations:: CovariantShallowWaterEquations2D )
170170 # Geometric variables
171171 Gcon = metric_contravariant (aux_vars, equations)
172172 J = area_element (aux_vars, equations)
217217end
218218
219219# Maximum wave speed along the normal direction in reference space
220- @inline function Trixi . max_abs_speed (u_ll, u_rr, aux_vars_ll, aux_vars_rr,
221- orientation,
222- equations:: AbstractCovariantShallowWaterEquations2D )
220+ @inline function max_abs_speed (u_ll, u_rr, aux_vars_ll, aux_vars_rr,
221+ orientation,
222+ equations:: AbstractCovariantShallowWaterEquations2D )
223223 # Geometric variables
224224 Gcon_ll = metric_contravariant (aux_vars_ll, equations)
225225 Gcon_rr = metric_contravariant (aux_vars_rr, equations)
237237end
238238
239239# Maximum wave speeds with respect to the covariant basis
240- @inline function Trixi . max_abs_speeds (u, aux_vars,
241- equations:: AbstractCovariantShallowWaterEquations2D )
240+ @inline function max_abs_speeds (u, aux_vars,
241+ equations:: AbstractCovariantShallowWaterEquations2D )
242242 vcon = velocity_contravariant (u, equations)
243243 h = waterheight (u, equations)
244244 Gcon = metric_contravariant (aux_vars, equations)
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