From 76a4a376f786c79b4c3005a295631dbf570d4d06 Mon Sep 17 00:00:00 2001
From: congo <jobcongo2@gmail.com>
Date: Fri, 9 Dec 2022 14:19:16 +0100
Subject: [PATCH 1/2] update 2dbuilding_ns

---
 .../heatfluid/examples/2Dbuilding_NS/aero.cfg |  2 +-
 .../examples/2Dbuilding_NS/aero.json          | 48 ++++++++++++-------
 2 files changed, 33 insertions(+), 17 deletions(-)

diff --git a/examples/modules/heatfluid/examples/2Dbuilding_NS/aero.cfg b/examples/modules/heatfluid/examples/2Dbuilding_NS/aero.cfg
index fd9e0ac1..38de4425 100644
--- a/examples/modules/heatfluid/examples/2Dbuilding_NS/aero.cfg
+++ b/examples/modules/heatfluid/examples/2Dbuilding_NS/aero.cfg
@@ -5,7 +5,7 @@ case.dimension=2
 [heat-fluid]
 mesh.filename=$cfgdir/aero.geo
 gmsh.hsize=0.025#0.01#0.02#0.07#0.1
-filename=$cfgdir/aero.json
+json.filename=$cfgdir/aero.json
 
 use-natural-convection=1
 Boussinesq.ref-temperature=280#293.15
diff --git a/examples/modules/heatfluid/examples/2Dbuilding_NS/aero.json b/examples/modules/heatfluid/examples/2Dbuilding_NS/aero.json
index 207143f3..011a53cf 100644
--- a/examples/modules/heatfluid/examples/2Dbuilding_NS/aero.json
+++ b/examples/modules/heatfluid/examples/2Dbuilding_NS/aero.json
@@ -2,14 +2,31 @@
 {
     "Name": "Thermo dynamics",
     "ShortName":"ThermoDyn",
+    "Metadata":
+    {
+        "version": "1",
+        "author": ["vincentchabannes","prudhomm","lberti","jobinhio"],
+        "date": "28/11/2022",
+        "references":[""]
+    },
     "Models":
     {
-	"use-model-name":1,
 	"fluid":
 	{
 	    "equations": "Navier-Stokes"
 	}
     },
+    "Meshes":
+    {
+        "heatfluid":
+        {
+          "Import":
+          {
+            "mesh.filename":"$cfgdir/aero.geo",
+            "gmsh.hsize":"0.025"  // 0.025#0.01#0.02#0.07#0.1
+          }
+        }
+    }, 
     "Materials":
     {
         "air":
@@ -39,19 +56,19 @@
     },
     "BoundaryConditions":
     {
-        "velocity":
+        "fluid":
         {
-            "Dirichlet":
+            "velocity":
             {
                 "exterior-walls": { "expr":"{0,0}" },
-		"internal-surfaces": { "expr":"{0,0}" },
+		        "internal-surfaces": { "expr":"{0,0}" },
                 "heater1": { "expr":"{0,0}" },
                 "heater2": { "expr":"{0,0}" }
             }
         },
-        "temperature":
+        "heat":
         {
-            "Dirichlet":
+            "temperature":
             {
                 "heater1": { "expr":"310"/*"330"*/ },
                 "heater2": { "expr":"300"/*"320"*/ }
@@ -63,7 +80,7 @@
                     "expr1":"1.0/(0.06+0.01/0.5 + 0.3/0.8 + 0.20/0.032 +0.016/0.313 +0.14)",// h coeff
                     "expr2":"280"// temperature exterior
                 },
-		"exterior-walls-nofluid":
+		        "exterior-walls-nofluid":
                 {
                     "expr1":"1.0/(0.06+0.01/0.5 + 0.3/0.8 + 0.20/0.032 +0.016/0.313 +0.14)",// h coeff
                     "expr2":"280"// temperature exterior
@@ -74,19 +91,18 @@
     },
     "PostProcess":
     {
-	"use-model-name":1,
-	"heat-fluid":
+	"heatfluid":
 	{
 	    "Exports":
 	    {
 		"fields":["fluid.velocity","fluid.pressure","heat.temperature","fluid.pid"]
-	    }
-	},
-	"fluid":
-	{
-	},
-	"heat":
-	{
+	    },
+        "fluid":
+        {
+        },
+        "heat":
+        {
+        }
 	}
     }
 }

From a10072ea492afe39d57e8c64f560b72fa9d7a815 Mon Sep 17 00:00:00 2001
From: congo <jobcongo2@gmail.com>
Date: Fri, 9 Dec 2022 14:19:55 +0100
Subject: [PATCH 2/2] add report and imagesprefix as described in #144

---
 .../heatfluid/pages/2Dbuilding_NS/README.adoc |   16 +-
 .../2Dbuilding_NS/heatfluid-information.adoc  | 1388 +++++++++++++++++
 2 files changed, 1398 insertions(+), 6 deletions(-)
 create mode 100644 examples/modules/heatfluid/pages/2Dbuilding_NS/heatfluid-information.adoc

diff --git a/examples/modules/heatfluid/pages/2Dbuilding_NS/README.adoc b/examples/modules/heatfluid/pages/2Dbuilding_NS/README.adoc
index fa8f0ffa..896fd90c 100644
--- a/examples/modules/heatfluid/pages/2Dbuilding_NS/README.adoc
+++ b/examples/modules/heatfluid/pages/2Dbuilding_NS/README.adoc
@@ -2,6 +2,9 @@
 :page-vtkjs: true
 :uri-data: https://github.com/feelpp/toolbox/blob/master/examples/modules/heatfluid/examples
 :uri-data-edit: https://github.com/feelpp/toolbox/edit/master/examples/modules/heatfluid/examples
+:imagesprefix: 
+ifdef::env-github,env-browser,env-vscode[:imagesprefix: ../../assets/images/]
+
 
 In this example, we simulate the phenomena of natural convection in an apartment of 2 rooms.
 We use the  Navier-Stokes model to simulate the natural convection and the toolbox `heatfluid` to solve it.
@@ -25,6 +28,7 @@ Copy case option to clipboard
 </button>
 ++++
 
+NOTE: The report of the execution of the command above is available xref:2Dbuilding_NS/heatfluid-information.adoc[here].
 == Data files
 
 The case data files are available in Github link:{uri-data}/2Dbuilding_NS/[here]
@@ -40,7 +44,7 @@ stem:[\quad]The 2D thermal model of two parts separated by plaster is considered
 
 .Geometry of stem:[\Omega = \cup^3_{i=1} \Omega_i] with stem:[\partial \Omega = \Gamma_{D} \cup \Gamma_R]
 |====
-a| image:2Dbuilding_NS/geo.png[]
+a| image:{imagesprefix}2Dbuilding_NS/geo.png[]
 |====
 
 
@@ -146,7 +150,7 @@ T = T_0
 
 .Mesh with GMSH
 |====
-a| image:2Dbuilding_NS/mesh.png[]
+a| image:{imagesprefix}2Dbuilding_NS/mesh.png[]
 |====
 
 
@@ -199,13 +203,13 @@ We observe that the flow circulate from the bottom to the top. The cooler fluid
 
 .Heat fluid over times
 |====
-a| image:2Dbuilding_NS/image1.png[] a| image:2Dbuilding_NS/image2.png[]
-a| image:2Dbuilding_NS/image3.png[] a| image:2Dbuilding_NS/image4.png[]
+a| image:{imagesprefix}2Dbuilding_NS/image1.png[] a| image:{imagesprefix}2Dbuilding_NS/image2.png[]
+a| image:{imagesprefix}2Dbuilding_NS/image3.png[] a| image:{imagesprefix}2Dbuilding_NS/image4.png[]
 |====
 
 .Average of temperature over times
 |====
-a| image:2Dbuilding_NS/graph1.png[]
+a| image:{imagesprefix}2Dbuilding_NS/graph1.png[]
 |====
 
 The graph show the steady state of temperature at 300K in all domains.
@@ -213,7 +217,7 @@ The graph show the steady state of temperature at 300K in all domains.
 
 .Fluid velocity and pressure
 |====
-a| image:2Dbuilding_NS/velocity.png[] a|image:2Dbuilding_NS/pressure.png[]
+a| image:{imagesprefix}2Dbuilding_NS/velocity.png[] a|image:{imagesprefix}2Dbuilding_NS/pressure.png[]
 |====
 
 
diff --git a/examples/modules/heatfluid/pages/2Dbuilding_NS/heatfluid-information.adoc b/examples/modules/heatfluid/pages/2Dbuilding_NS/heatfluid-information.adoc
new file mode 100644
index 00000000..0a01df1d
--- /dev/null
+++ b/examples/modules/heatfluid/pages/2Dbuilding_NS/heatfluid-information.adoc
@@ -0,0 +1,1388 @@
+:sectnums:
+
+= Toolbox::heatfluid - Use Case Study 
+
+== Environment
+
+[cols="2"]
+|===
+<|prefix
+<|heat-fluid
+
+<|keyword
+<|heatfluid
+
+<|root repository
+<|/home/congo/feelppdb/applications/models/aerothermics/ThermalBuilding/2d/np_1
+
+<|number of processus
+<|1
+|===
+
+
+== Materials Properties
+
+[cols="2"]
+|===
+<|number of materials
+<|2
+|===
+
+
+=== Material : air
+
+[cols="5",options="header"]
+|===
+<|Name
+<|Expression
+<|Symbol
+<|Shape
+<|Components
+
+<|density
+<|1
+<|materials_air_rho
+<|scalar
+<|
+
+<|dynamic-viscosity
+<|0.0265
+<|materials_air_mu
+<|scalar
+<|
+
+<|specific-heat-capacity
+<|1004
+<|materials_air_Cp
+<|scalar
+<|
+
+<|thermal-conductivity
+<|0.03
+<|materials_air_k
+<|scalar
+<|
+
+<|thermal-expansion
+<|0.00366
+<|materials_air_beta
+<|scalar
+<|
+|===
+
+
+=== Material : internal-walls
+
+[cols="5",options="header"]
+|===
+<|Name
+<|Expression
+<|Symbol
+<|Shape
+<|Components
+
+<|density
+<|150
+<|materials_internal-walls_rho
+<|scalar
+<|
+
+<|dynamic-viscosity
+<|1.0
+<|materials_internal-walls_mu
+<|scalar
+<|
+
+<|specific-heat-capacity
+<|1000
+<|materials_internal-walls_Cp
+<|scalar
+<|
+
+<|thermal-conductivity
+<|0.25
+<|materials_internal-walls_k
+<|scalar
+<|
+
+<|thermal-expansion
+<|0.0
+<|materials_internal-walls_beta
+<|scalar
+<|
+|===
+
+
+=== Multi-Materials
+
+[cols="5",options="header"]
+|===
+<|Name
+<|Expression
+<|Symbol
+<|Shape
+<|Components
+
+<|density
+<|concat(...)
+<|materials_rho
+<|scalar
+<|
+
+<|dynamic-viscosity
+<|concat(...)
+<|materials_mu
+<|scalar
+<|
+
+<|specific-heat-capacity
+<|concat(...)
+<|materials_Cp
+<|scalar
+<|
+
+<|thermal-conductivity
+<|concat(...)
+<|materials_k
+<|scalar
+<|
+
+<|thermal-expansion
+<|concat(...)
+<|materials_beta
+<|scalar
+<|
+|===
+
+
+
+== Meshes
+
+=== Mesh : heatfluid
+
+[cols="2"]
+|===
+<|Discretization
+<|/Mesh/heatfluid
+
+<|filename
+<|/home/congo/feelppdb/applications/models/aerothermics/ThermalBuilding/2d/np_1/heatfluid.mesh.msh
+|===
+
+
+==== Import configuration
+
+[cols="2"]
+|===
+<|geo-filename
+<|/home/congo/Document/toolbox/examples/modules/heatfluid/examples/2Dbuilding_NS/aero.geo
+
+<|hsize
+<|2.500000e-02
+
+<|generate-partitioning
+<|0
+|===
+
+
+==== Discretization
+
+[cols="2"]
+|===
+<|dim
+<|2
+
+<|h_average
+<|1.752744e-02
+
+<|h_max
+<|3.346642e-02
+
+<|h_min
+<|4.036591e-03
+
+<|n_elements
+<|20656
+
+<|n_faces
+<|31304
+
+<|n_partition
+<|1
+
+<|n_points
+<|10647
+
+<|order
+<|1
+
+<|real_dim
+<|2
+
+<|shape
+<|Simplex_2_1_2
+|===
+
+
+
+==== Fields
+
+
+
+
+== Algebraic Solver
+
+=== Backend
+
+[cols="2"]
+|===
+<|prefix
+<|heat-fluid
+
+<|type
+<|petsc
+|===
+
+
+=== KSP
+
+[cols="2"]
+|===
+<|atol
+<|1.000000e-50
+
+<|dtol
+<|1.000000e+05
+
+<|maxit
+<|1000
+
+<|reuse-prec
+<|0
+
+<|rtol
+<|1.000000e-08
+
+<|type
+<|preonly
+|===
+
+
+=== SNES
+
+[cols="2"]
+|===
+<|atol
+<|1.000000e-50
+
+<|maxit
+<|50
+
+<|reuse-jac
+<|0
+
+<|rtol
+<|1.000000e-08
+
+<|stol
+<|1.000000e-08
+|===
+
+
+=== KSP in SNES
+
+[cols="2"]
+|===
+<|maxit
+<|1000
+
+<|reuse-prec
+<|0
+
+<|rtol
+<|1.000000e-05
+|===
+
+
+=== PC
+
+[cols="2"]
+|===
+<|mat-solver-package
+<|mumps
+
+<|type
+<|lu
+|===
+
+
+
+== Toolbox Heat
+
+=== Environment
+
+[cols="2"]
+|===
+<|prefix
+<|heat-fluid.heat
+
+<|keyword
+<|heat
+
+<|root repository
+<|/home/congo/feelppdb/applications/models/aerothermics/ThermalBuilding/2d/np_1
+
+<|number of processus
+<|1
+|===
+
+
+=== Physics
+
+==== heat
+
+===== default
+
+[cols="2"]
+|===
+<|modeling
+<|heat
+
+<|type
+<|heat
+
+<|name
+<|default
+|===
+
+
+[cols="2"]
+|===
+<|Equation
+<|u dot nabla T - div( k grad T ) = 0
+|===
+
+
+====== Convection
+
+[cols="2"]
+|===
+<|expr
+<|{fluid_U_0,fluid_U_1}
+|===
+
+
+====== Parameters
+
+[cols="5",options="header"]
+|===
+<|Name
+<|Expression
+<|Symbol
+<|Shape
+<|Components
+
+<|convection
+<|{fluid_U_0,fluid_U_1}
+<|physics_heat_default_convection
+<|vectorial [2]
+<a|
+[cols="2",options="header"]
+!===
+<!Symbol
+<!Indices
+
+<!physics_heat_default_convection_0
+<!0,0
+
+<!physics_heat_default_convection_1
+<!1,0
+!===
+
+|===
+
+
+
+
+
+=== Physics2
+
+[cols="2"]
+|===
+<|time mode
+<|Transient
+|===
+
+
+=== Boundary Conditions
+
+==== Temperature Imposed
+
+===== heater1
+
+[cols="2"]
+|===
+<|method
+<|elimination
+
+<|expr
+<|310
+
+<|markers
+<a|
+[cols="1"]
+!===
+<!heater1
+!===
+
+|===
+
+
+===== heater2
+
+[cols="2"]
+|===
+<|method
+<|elimination
+
+<|expr
+<|300
+
+<|markers
+<a|
+[cols="1"]
+!===
+<!heater2
+!===
+
+|===
+
+
+
+
+=== Meshes
+
+==== Mesh : heat
+
+[cols="2"]
+|===
+<|Discretization
+<|/Mesh/heatfluid
+
+<|filename
+<|/home/congo/feelppdb/applications/models/aerothermics/ThermalBuilding/2d/np_1/heatfluid.mesh.msh
+|===
+
+
+===== Import configuration
+
+[cols="2"]
+|===
+<|geo-filename
+<|/home/congo/Document/toolbox/examples/modules/heatfluid/examples/2Dbuilding_NS/aero.geo
+
+<|hsize
+<|2.500000e-02
+
+<|generate-partitioning
+<|0
+|===
+
+
+===== Discretization
+
+[cols="2"]
+|===
+<|dim
+<|2
+
+<|h_average
+<|1.752744e-02
+
+<|h_max
+<|3.346642e-02
+
+<|h_min
+<|4.036591e-03
+
+<|n_elements
+<|20656
+
+<|n_faces
+<|31304
+
+<|n_partition
+<|1
+
+<|n_points
+<|10647
+
+<|order
+<|1
+
+<|real_dim
+<|2
+
+<|shape
+<|Simplex_2_1_2
+|===
+
+
+
+===== Fields
+
+
+
+
+=== Function Spaces
+
+==== Temperature
+
+[cols="2"]
+|===
+<|mesh
+<|/Mesh/heatfluid
+
+<|nSpace
+<|1
+|===
+
+
+===== Basis
+
+[cols="2"]
+|===
+<|is_continuous
+<|1
+
+<|nComponents
+<|1
+
+<|nComponents1
+<|1
+
+<|nComponents2
+<|1
+
+<|nLocalDof
+<|3
+
+<|name
+<|lagrange
+
+<|order
+<|1
+
+<|shape
+<|scalar
+|===
+
+
+===== Dof Table
+
+[cols="2"]
+|===
+<|nDof
+<|10647
+|===
+
+
+
+
+
+=== Fields
+
+==== temperature
+
+[cols="2"]
+|===
+<|base symbol
+<|T
+
+<|function space
+<|/FunctionSpace/object-0
+
+<|name
+<|temperature
+
+<|prefix symbol
+<|heat
+|===
+
+
+[cols="5",options="header"]
+|===
+<|Name
+<|Expression
+<|Symbol
+<|Shape
+<|Components
+
+<|eval of temperature
+<|idv(.)
+<|heat_T
+<|scalar
+<|
+
+<|norm2 of temperature
+<|norm2(.)
+<|heat_T_magnitude
+<|scalar
+<|
+
+<|grad of temperature
+<|gradv(.)
+<|heat_grad_T
+<|vectorial [2]
+<a|
+[cols="2",options="header"]
+!===
+<!Symbol
+<!Indices
+
+<!heat_grad_T_0
+<!0,0
+
+<!heat_grad_T_1
+<!0,1
+!===
+
+
+<|normal derivative of temperature
+<|dnv(.)
+<|heat_dn_T
+<|scalar
+<|
+|===
+
+
+
+
+=== Time Discretization
+
+[cols="2"]
+|===
+<|final time
+<|1.500000e+04
+
+<|initial time
+<|0.000000e+00
+
+<|time step
+<|5.000000e+01
+
+<|type
+<|BDF
+|===
+
+
+
+== Toolbox Fluid
+
+=== Environment
+
+[cols="2"]
+|===
+<|prefix
+<|heat-fluid.fluid
+
+<|keyword
+<|fluid
+
+<|root repository
+<|/home/congo/feelppdb/applications/models/aerothermics/ThermalBuilding/2d/np_1
+
+<|number of processus
+<|1
+|===
+
+
+=== Physics
+
+==== fluid
+
+===== fluid
+
+[cols="2"]
+|===
+<|modeling
+<|fluid
+
+<|type
+<|fluid
+
+<|name
+<|fluid
+|===
+
+
+[cols="2"]
+|===
+<|equation
+<|Navier-Stokes
+
+<|formulation
+<|Convective
+|===
+
+
+
+
+
+=== Physics2
+
+[cols="2"]
+|===
+<|time mode
+<|Transient
+|===
+
+
+=== Boundary Conditions
+
+==== Velocity Imposed
+
+===== exterior-walls
+
+[cols="2"]
+|===
+<|method
+<|elimination
+
+<|expr
+<|{0,0}
+
+<|markers
+<a|
+[cols="1"]
+!===
+<!exterior-walls
+!===
+
+|===
+
+
+===== heater1
+
+[cols="2"]
+|===
+<|method
+<|elimination
+
+<|expr
+<|{0,0}
+
+<|markers
+<a|
+[cols="1"]
+!===
+<!heater1
+!===
+
+|===
+
+
+===== heater2
+
+[cols="2"]
+|===
+<|method
+<|elimination
+
+<|expr
+<|{0,0}
+
+<|markers
+<a|
+[cols="1"]
+!===
+<!heater2
+!===
+
+|===
+
+
+===== internal-surfaces
+
+[cols="2"]
+|===
+<|method
+<|elimination
+
+<|expr
+<|{0,0}
+
+<|markers
+<a|
+[cols="1"]
+!===
+<!internal-surfaces
+!===
+
+|===
+
+
+
+
+=== Meshes
+
+==== Mesh : fluid
+
+[cols="2"]
+|===
+<|Discretization
+<|/Mesh/heatfluid
+
+<|filename
+<|/home/congo/feelppdb/applications/models/aerothermics/ThermalBuilding/2d/np_1/heatfluid.mesh.msh
+|===
+
+
+===== Import configuration
+
+[cols="2"]
+|===
+<|geo-filename
+<|/home/congo/Document/toolbox/examples/modules/heatfluid/examples/2Dbuilding_NS/aero.geo
+
+<|hsize
+<|2.500000e-02
+
+<|generate-partitioning
+<|0
+|===
+
+
+===== Discretization
+
+[cols="2"]
+|===
+<|dim
+<|2
+
+<|h_average
+<|1.752744e-02
+
+<|h_max
+<|3.346642e-02
+
+<|h_min
+<|4.036591e-03
+
+<|n_elements
+<|20656
+
+<|n_faces
+<|31304
+
+<|n_partition
+<|1
+
+<|n_points
+<|10647
+
+<|order
+<|1
+
+<|real_dim
+<|2
+
+<|shape
+<|Simplex_2_1_2
+|===
+
+
+
+===== Fields
+
+
+
+
+=== Function Spaces
+
+==== Velocity
+
+[cols="2"]
+|===
+<|mesh
+<|/Mesh/heatfluid
+
+<|nSpace
+<|1
+|===
+
+
+===== Basis
+
+[cols="2"]
+|===
+<|is_continuous
+<|1
+
+<|nComponents
+<|2
+
+<|nComponents1
+<|2
+
+<|nComponents2
+<|1
+
+<|nLocalDof
+<|6
+
+<|name
+<|lagrange
+
+<|order
+<|2
+
+<|shape
+<|vectorial
+|===
+
+
+===== Dof Table
+
+[cols="2"]
+|===
+<|nDof
+<|83902
+|===
+
+
+
+
+==== Pressure
+
+[cols="2"]
+|===
+<|mesh
+<|/Mesh/heatfluid
+
+<|nSpace
+<|1
+|===
+
+
+===== Basis
+
+[cols="2"]
+|===
+<|is_continuous
+<|1
+
+<|nComponents
+<|1
+
+<|nComponents1
+<|1
+
+<|nComponents2
+<|1
+
+<|nLocalDof
+<|3
+
+<|name
+<|lagrange
+
+<|order
+<|1
+
+<|shape
+<|scalar
+|===
+
+
+===== Dof Table
+
+[cols="2"]
+|===
+<|nDof
+<|10647
+|===
+
+
+
+
+
+=== Fields
+
+==== last_velocity
+
+[cols="2"]
+|===
+<|base symbol
+<|last_u
+
+<|function space
+<|/FunctionSpace/object-1
+
+<|name
+<|last_velocity
+
+<|prefix symbol
+<|fluid
+|===
+
+
+[cols="5",options="header"]
+|===
+<|Name
+<|Expression
+<|Symbol
+<|Shape
+<|Components
+
+<|eval of last_velocity
+<|idv(.)
+<|fluid_last_u
+<|vectorial [2]
+<a|
+[cols="2",options="header"]
+!===
+<!Symbol
+<!Indices
+
+<!fluid_last_u_0
+<!0,0
+
+<!fluid_last_u_1
+<!1,0
+!===
+
+
+<|norm2 of last_velocity
+<|norm2(.)
+<|fluid_last_u_magnitude
+<|scalar
+<|
+
+<|grad of last_velocity
+<|gradv(.)
+<|fluid_grad_last_u
+<|tensor2 [2x2]
+<a|
+[cols="2",options="header"]
+!===
+<!Symbol
+<!Indices
+
+<!fluid_grad_last_u_00
+<!0,0
+
+<!fluid_grad_last_u_01
+<!0,1
+
+<!fluid_grad_last_u_10
+<!1,0
+
+<!fluid_grad_last_u_11
+<!1,1
+!===
+
+
+<|normal derivative of last_velocity
+<|dnv(.)
+<|fluid_dn_last_u
+<|vectorial [2]
+<a|
+[cols="2",options="header"]
+!===
+<!Symbol
+<!Indices
+
+<!fluid_dn_last_u_0
+<!0,0
+
+<!fluid_dn_last_u_1
+<!1,0
+!===
+
+
+<|curl of last_velocity
+<|curlv(.)
+<|fluid_curl_last_u
+<|scalar
+<|
+
+<|norm2 of curl of last_velocity
+<|norm2(curlv(.))
+<|fluid_curl_last_u_magnitude
+<|scalar
+<|
+
+<|div of last_velocity
+<|divv(.)
+<|fluid_div_last_u
+<|scalar
+<|
+|===
+
+
+
+==== pressure
+
+[cols="2"]
+|===
+<|base symbol
+<|P
+
+<|function space
+<|/FunctionSpace/object-2
+
+<|name
+<|pressure
+
+<|prefix symbol
+<|fluid
+|===
+
+
+[cols="5",options="header"]
+|===
+<|Name
+<|Expression
+<|Symbol
+<|Shape
+<|Components
+
+<|eval of pressure
+<|idv(.)
+<|fluid_P
+<|scalar
+<|
+|===
+
+
+
+==== velocity
+
+[cols="2"]
+|===
+<|base symbol
+<|U
+
+<|function space
+<|/FunctionSpace/object-1
+
+<|name
+<|velocity
+
+<|prefix symbol
+<|fluid
+|===
+
+
+[cols="5",options="header"]
+|===
+<|Name
+<|Expression
+<|Symbol
+<|Shape
+<|Components
+
+<|eval of velocity
+<|idv(.)
+<|fluid_U
+<|vectorial [2]
+<a|
+[cols="2",options="header"]
+!===
+<!Symbol
+<!Indices
+
+<!fluid_U_0
+<!0,0
+
+<!fluid_U_1
+<!1,0
+!===
+
+
+<|norm2 of velocity
+<|norm2(.)
+<|fluid_U_magnitude
+<|scalar
+<|
+
+<|grad of velocity
+<|gradv(.)
+<|fluid_grad_U
+<|tensor2 [2x2]
+<a|
+[cols="2",options="header"]
+!===
+<!Symbol
+<!Indices
+
+<!fluid_grad_U_00
+<!0,0
+
+<!fluid_grad_U_01
+<!0,1
+
+<!fluid_grad_U_10
+<!1,0
+
+<!fluid_grad_U_11
+<!1,1
+!===
+
+
+<|normal derivative of velocity
+<|dnv(.)
+<|fluid_dn_U
+<|vectorial [2]
+<a|
+[cols="2",options="header"]
+!===
+<!Symbol
+<!Indices
+
+<!fluid_dn_U_0
+<!0,0
+
+<!fluid_dn_U_1
+<!1,0
+!===
+
+
+<|curl of velocity
+<|curlv(.)
+<|fluid_curl_U
+<|scalar
+<|
+
+<|norm2 of curl of velocity
+<|norm2(curlv(.))
+<|fluid_curl_U_magnitude
+<|scalar
+<|
+
+<|div of velocity
+<|divv(.)
+<|fluid_div_U
+<|scalar
+<|
+|===
+
+
+
+==== velocity_extrapolated
+
+[cols="2"]
+|===
+<|base symbol
+<|beta_u
+
+<|function space
+<|/FunctionSpace/object-1
+
+<|name
+<|velocity_extrapolated
+
+<|prefix symbol
+<|fluid
+|===
+
+
+[cols="5",options="header"]
+|===
+<|Name
+<|Expression
+<|Symbol
+<|Shape
+<|Components
+
+<|eval of velocity_extrapolated
+<|idv(.)
+<|fluid_beta_u
+<|vectorial [2]
+<a|
+[cols="2",options="header"]
+!===
+<!Symbol
+<!Indices
+
+<!fluid_beta_u_0
+<!0,0
+
+<!fluid_beta_u_1
+<!1,0
+!===
+
+
+<|norm2 of velocity_extrapolated
+<|norm2(.)
+<|fluid_beta_u_magnitude
+<|scalar
+<|
+
+<|grad of velocity_extrapolated
+<|gradv(.)
+<|fluid_grad_beta_u
+<|tensor2 [2x2]
+<a|
+[cols="2",options="header"]
+!===
+<!Symbol
+<!Indices
+
+<!fluid_grad_beta_u_00
+<!0,0
+
+<!fluid_grad_beta_u_01
+<!0,1
+
+<!fluid_grad_beta_u_10
+<!1,0
+
+<!fluid_grad_beta_u_11
+<!1,1
+!===
+
+
+<|normal derivative of velocity_extrapolated
+<|dnv(.)
+<|fluid_dn_beta_u
+<|vectorial [2]
+<a|
+[cols="2",options="header"]
+!===
+<!Symbol
+<!Indices
+
+<!fluid_dn_beta_u_0
+<!0,0
+
+<!fluid_dn_beta_u_1
+<!1,0
+!===
+
+
+<|curl of velocity_extrapolated
+<|curlv(.)
+<|fluid_curl_beta_u
+<|scalar
+<|
+
+<|norm2 of curl of velocity_extrapolated
+<|norm2(curlv(.))
+<|fluid_curl_beta_u_magnitude
+<|scalar
+<|
+
+<|div of velocity_extrapolated
+<|divv(.)
+<|fluid_div_beta_u
+<|scalar
+<|
+|===
+
+
+
+
+
+