FlowChannel1Phase

This component is a single-phase flow channel, which implements the single-phase flow model.

Usage

The parameters "position", "orientation", "length", "n_elems", and "axial_region_names" are discussed in Axial Discretization.

note

"orientation" can only be used to specify a single direction and thus cannot be used to specify bends in a flow channel.

Each end of a flow channel must be connected to either a boundary or a junction (see Blocks and Boundaries for the boundary naming conventions).

The parameter "A" specifies the cross-sectional area of the flow channel.

The parameter "fp" specifies the name of a fluid properties object, and the parameter "closures" specifies the name of a closures object.

Initial conditions are specified for pressure, temperature, and velocity with the following parameters:

"initial_p"
"initial_T"
"initial_vel"

If passive transport variables should be modeled, then "passives_names" provides the names of these variables $var element = document.getElementById("moose-equation-864e154f-5e58-48e8-9648-0b68d362f360");katex.render("y", element, {displayMode:false,throwOnError:false});$ , and "initial_passives" provides the initial values. Note that the corresponding solution variables are $var element = document.getElementById("moose-equation-097ec74e-1158-4048-bfc1-de994617ebdd");katex.render("y A", element, {displayMode:false,throwOnError:false});$ , which appends _times_area to each of the provided names.

This component offers options to output quantities via vector post-processors:

"vpp_vars": Creates an ElementValueSampler with a vector for each of the listed variables (see below for a list of variables).
"create_flux_vpp": Creates a NumericalFlux3EqnInternalValues, which creates a vector for each numerical flux component (mass, momentum, energy) at the internal sides.

Input Parameters

AArea of the flow channel, can be a constant or a function
C++ Type:FunctionName
Unit:(no unit assumed)
Controllable:No
Description:Area of the flow channel, can be a constant or a function
fpFluid properties user object
C++ Type:UserObjectName
Controllable:No
Description:Fluid properties user object
lengthLength of each axial section [m]
C++ Type:std::vector<double>
Unit:(no unit assumed)
Controllable:No
Description:Length of each axial section [m]
n_elemsNumber of elements in each axial section
C++ Type:std::vector<unsigned int>
Controllable:No
Description:Number of elements in each axial section
orientationDirection of flow channel from start position to end position (no need to normalize). For curved flow channels, it is the (tangent) direction at the start position.
C++ Type:libMesh::VectorValue<double>
Unit:(no unit assumed)
Controllable:No
Description:Direction of flow channel from start position to end position (no need to normalize). For curved flow channels, it is the (tangent) direction at the start position.
positionStart position of axis in 3-D space [m]
C++ Type:libMesh::Point
Controllable:No
Description:Start position of axis in 3-D space [m]

Required Parameters

D_hHydraulic diameter [m]
C++ Type:FunctionName
Unit:(no unit assumed)
Controllable:No
Description:Hydraulic diameter [m]
PoD1Pitch-to-diameter ratio for parallel bundle heat transfer [-]
Default:1
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Pitch-to-diameter ratio for parallel bundle heat transfer [-]
T_ref273.15Reference temperature [K]
Default:273.15
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Reference temperature [K]
T_rel_step_tol1e-05Temperature relative step tolerance
Default:1e-05
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Temperature relative step tolerance
axial_region_namesNames to assign to axial regions
C++ Type:std::vector<std::string>
Controllable:No
Description:Names to assign to axial regions
closuresClosures object(s). This is optional since closure relations can be supplied directly by Materials as well.
C++ Type:std::vector<std::string>
Controllable:No
Description:Closures object(s). This is optional since closure relations can be supplied directly by Materials as well.
create_flux_vppFalseIf true, create a VectorPostprocessor with the the mass, momentum, and energy side fluxes
Default:False
C++ Type:bool
Controllable:No
Description:If true, create a VectorPostprocessor with the the mass, momentum, and energy side fluxes
energy_res_tol1e-05Energy equation normalized residual tolerance
Default:1e-05
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Energy equation normalized residual tolerance
fWall friction factor [-]
C++ Type:FunctionName
Unit:(no unit assumed)
Controllable:No
Description:Wall friction factor [-]
gravity_vector0 0 -9.81Gravitational acceleration vector [m/s^2]
Default:0 0 -9.81
C++ Type:libMesh::VectorValue<double>
Unit:(no unit assumed)
Controllable:No
Description:Gravitational acceleration vector [m/s^2]
heat_transfer_geomPIPEConvective heat transfer geometry
Default:PIPE
C++ Type:MooseEnum
Options:HEX_ROD_BUNDLE, PIPE, ROD_BUNDLE
Controllable:No
Description:Convective heat transfer geometry
initial_passivesInitial passive transport variable values in the flow channel, if any (units are [amount/m^3], where 'amount' may be mass (kg) or a number (molecules, moles, etc.))
C++ Type:std::vector<FunctionName>
Unit:(no unit assumed)
Controllable:No
Description:Initial passive transport variable values in the flow channel, if any (units are [amount/m^3], where 'amount' may be mass (kg) or a number (molecules, moles, etc.))
mass_res_tol1e-05Mass equation normalized residual tolerance
Default:1e-05
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Mass equation normalized residual tolerance
momentum_res_tol1e-05Momentum equation normalized residual tolerance
Default:1e-05
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Momentum equation normalized residual tolerance
name_multiple_ht_by_indexTrueIf true, when there are multiple heat transfer components connected to this flow channel, use their index for naming related quantities; otherwise, use the name of the heat transfer component.
Default:True
C++ Type:bool
Controllable:No
Description:If true, when there are multiple heat transfer components connected to this flow channel, use their index for naming related quantities; otherwise, use the name of the heat transfer component.
p_ref101325Reference pressure [Pa]
Default:101325
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Reference pressure [Pa]
p_rel_step_tol1e-05Pressure relative step tolerance
Default:1e-05
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Pressure relative step tolerance
passives_namesNames for each passive transport variable [amount/m^3]. Note that the conserved (solution) variables will be an amount per unit volume multiplied by the channel cross-sectional area, yielding an amount per unit length; these solution variable names will append '_times_area' to the names given in this parameter.
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Names for each passive transport variable [amount/m^3]. Note that the conserved (solution) variables will be an amount per unit volume multiplied by the channel cross-sectional area, yielding an amount per unit length; these solution variable names will append '_times_area' to the names given in this parameter.
pipe_locationINTERIORPipe location within the bundle
Default:INTERIOR
C++ Type:MooseEnum
Options:CORNER, EDGE, INTERIOR
Controllable:No
Description:Pipe location within the bundle
pipe_pars_transferredFalseSet to true if Dh, P_hf and A are going to be transferred in from an external source
Default:False
C++ Type:bool
Controllable:No
Description:Set to true if Dh, P_hf and A are going to be transferred in from an external source
rotation0Angle of rotation about the x-axis [degrees]
Default:0
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Angle of rotation about the x-axis [degrees]
roughness0Roughness [m]
Default:0
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Roughness [m]
scaling_factor_passivesScaling factor for each passive transport variable
C++ Type:std::vector<double>
Unit:(no unit assumed)
Controllable:No
Description:Scaling factor for each passive transport variable
vel_ref1Reference velocity [m/s]
Default:1
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Reference velocity [m/s]
vel_rel_step_tol1e-05Velocity relative step tolerance
Default:1e-05
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Velocity relative step tolerance
vpp_varsVariables to add in an ElementValueSampler
C++ Type:std::vector<VariableName>
Unit:(no unit assumed)
Controllable:No
Description:Variables to add in an ElementValueSampler
wave_speed_formulationeinfeldtMethod for computing wave speeds
Default:einfeldt
C++ Type:MooseEnum
Options:einfeldt, davis
Controllable:No
Description:Method for computing wave speeds

Optional Parameters

control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:No
Description:Set the enabled status of the MooseObject.

Advanced Parameters

initial_TInitial temperature in the flow channel [K]
C++ Type:FunctionName
Unit:(no unit assumed)
Controllable:Yes
Description:Initial temperature in the flow channel [K]
initial_pInitial pressure in the flow channel [Pa]
C++ Type:FunctionName
Unit:(no unit assumed)
Controllable:Yes
Description:Initial pressure in the flow channel [Pa]
initial_velInitial velocity in the flow channel [m/s]
C++ Type:FunctionName
Unit:(no unit assumed)
Controllable:Yes
Description:Initial velocity in the flow channel [m/s]

Variable Initialization Parameters

rdg_slope_reconstructionNONESlope reconstruction type for rDG spatial discretization
Default:NONE
C++ Type:MooseEnum
Options:FULL, MC, MINMOD, NONE, SUPERBEE
Controllable:No
Description:Slope reconstruction type for rDG spatial discretization
scaling_factor_1phase1 1 1 Scaling factors for each single phase variable (rhoA, rhouA, rhoEA)
Default:1 1 1
C++ Type:std::vector<double>
Unit:(no unit assumed)
Controllable:No
Description:Scaling factors for each single phase variable (rhoA, rhouA, rhoEA)

Numerical Scheme Parameters

Mesh

Axial Discretization

This component generates a mesh along a line segment in 3D space. The line segment is defined with a "start" point $var element = document.getElementById("moose-equation-8c09751e-a4ea-4eb2-bc61-a68f41d1830a");katex.render("\\mathbf{x}_\\text{start}", element, {displayMode:false,throwOnError:false});$ , corresponding to either end, the direction $var element = document.getElementById("moose-equation-b398a04a-2779-4dff-9e89-ffad7e1e8e67");katex.render("\\mathbf{d}", element, {displayMode:false,throwOnError:false});$ to the other end, and the distance in that direction, $var element = document.getElementById("moose-equation-b5375902-c690-4d2d-89ae-4388f5aa5e1e");katex.render("L", element, {displayMode:false,throwOnError:false});$ . Thus the other end of the line segment is

var element = document.getElementById("moose-equation-37f6c15e-0b7f-4b08-ba58-7613757ba780");katex.render("\\mathbf{x}_\\text{end} = \\mathbf{x}_\\text{start} + L \\mathbf{d} \\eqp", element, {displayMode:true,throwOnError:false});

These quantities are defined using the following parameters:

"position": the "start" point $var element = document.getElementById("moose-equation-1024a0b8-7ae3-44df-b251-68864936e634");katex.render("\\mathbf{x}_\\text{start}", element, {displayMode:false,throwOnError:false});$ ,
"orientation": the direction $var element = document.getElementById("moose-equation-25a87da4-e2c5-42ca-a75a-e059179faf08");katex.render("\\mathbf{d}", element, {displayMode:false,throwOnError:false});$ (which gets automatically normalized), and
"length": the length(s) that sum to $var element = document.getElementById("moose-equation-14fce14b-1dd6-495c-b783-9c4e1e6def4f");katex.render("L", element, {displayMode:false,throwOnError:false});$ .

The most basic mesh specification is given by a single value for the parameters "length" and "n_elems", which correspond to the length of the component and number of uniformly-sized elements to use. For example, the following parameters would specify a total length $var element = document.getElementById("moose-equation-8029364f-af53-457c-ac15-c2dc8146a2ca");katex.render("L = 50", element, {displayMode:false,throwOnError:false});$ m, divided into 100 elements (each with width 0.5 m):


length = 50
n_elems = 100

The "length" and "n_elems" parameters can also be supplied with multiple values. Multiple values correspond to splitting the length into segments that can have different element sizes. However, within each segment, the discretization is assumed uniform. The numbers of elements in each segment are specified with the parameter "n_elems", with entries corresponding to the entries in "length". For example, the following would also specify a total length $var element = document.getElementById("moose-equation-ad53f182-d97e-4589-b5b5-c39edab15114");katex.render("L = 50", element, {displayMode:false,throwOnError:false});$ m with 100 total elements, but in this case the first 10 m have 40 elements of size 0.25 m, whereas the last 40 m have 60 elements of size $var element = document.getElementById("moose-equation-9ae041ff-5d15-4bd1-a066-9ea2db70bd90");katex.render("0.\\bar{6}", element, {displayMode:false,throwOnError:false});$ m.


length = '10 40'
n_elems = '40 60'

When using more than one entry in the "length" and "n_elems" parameters, the parameter "axial_region_names" is used to provide names that are used in the generation of corresponding block and boundary names (see Blocks and Boundaries).

Blocks and Boundaries

The user-given name to the flow channel component, say, <flow_channel>, is used internally to create a subdomain (also called a "block") name. If "length" has only one entry, then a single block of the name <flow_channel> is created; else the blocks <flow_channel>:<region> are created, where <region> is an entry in the "axial_region_names" parameter:

Block	Description
`<flow_channel>`	The 1D flow channel mesh (if only one entry in "length")
`<flow_channel>:<region>`	The 1D flow channel mesh for region `<region>` (if more than one entry in "length")

Additionally, two boundary names are created with the following convention:

Boundary	Description
`<flow_channel_name>:in`	The "start" end of the 1D flow channel mesh
`<flow_channel_name>:out`	The "end" end of the 1D flow channel mesh

Variables

The following solution variables are created on the flow channel:

Variable	Symbol	Description
`rhoA`	$var element = document.getElementById("moose-equation-bbd11257-e4e3-44ab-8274-1a6008a92ad4");katex.render("\\rho A", element, {displayMode:false,throwOnError:false});$	Mass per unit length [kg/m]
`rhouA`	$var element = document.getElementById("moose-equation-16cd3ba7-5e85-4112-b12a-ba71ef69154d");katex.render("\\rho u A", element, {displayMode:false,throwOnError:false});$	Momentum per unit length; mass flow rate [kg/s]
`rhoEA`	$var element = document.getElementById("moose-equation-93173815-f1de-413f-9483-25d59ed7b43f");katex.render("\\rho E A", element, {displayMode:false,throwOnError:false});$	Energy per unit length [J/m]
`<passive_i>_times_area`	$var element = document.getElementById("moose-equation-04dc24d9-2f55-47a4-8a75-15786d24e16e");katex.render("y A", element, {displayMode:false,throwOnError:false});$	Passive transport variable $var element = document.getElementById("moose-equation-2373b956-4caa-4832-aac1-fda248235a20");katex.render("i", element, {displayMode:false,throwOnError:false});$ , if provided [amount/m $var element = document.getElementById("moose-equation-8f38bfdc-2848-48d7-a983-d0c556799d73");katex.render("^3", element, {displayMode:false,throwOnError:false});$ ]

The following auxiliary variables are created on the flow channel:

Variable	Symbol	Description
`A`	$var element = document.getElementById("moose-equation-541f2ba8-6a42-4a67-b7af-17b71f32b076");katex.render("A", element, {displayMode:false,throwOnError:false});$	Cross-sectional area [m $var element = document.getElementById("moose-equation-5a9e985b-5f37-4fc7-adf4-45bf0cf65b6c");katex.render("^2", element, {displayMode:false,throwOnError:false});$ ] (piecewise constant)
`A_linear`	$var element = document.getElementById("moose-equation-cdc702a6-570d-43e0-be17-b499dff226f4");katex.render("A", element, {displayMode:false,throwOnError:false});$	Cross-sectional area [m $var element = document.getElementById("moose-equation-3a502e18-125d-47be-b463-38f7e9032426");katex.render("^2", element, {displayMode:false,throwOnError:false});$ ] (piecewise linear)
`P_hf`	$var element = document.getElementById("moose-equation-7ad29442-d4de-4c39-a24c-eb2fed4d65fb");katex.render("P_\\text{heat}", element, {displayMode:false,throwOnError:false});$	Heated perimeter [m]
`vel_x`	$var element = document.getElementById("moose-equation-c8d29703-eb24-4335-a55a-41c08e3d388b");katex.render("u_x", element, {displayMode:false,throwOnError:false});$	Velocity component along the x-axis [m/s] (if specified to output vector-valued velocity)
`vel_y`	$var element = document.getElementById("moose-equation-19959afa-9821-414a-b32a-c55852eb4198");katex.render("u_y", element, {displayMode:false,throwOnError:false});$	Velocity component along the y-axis [m/s] (if specified to output vector-valued velocity)
`vel_z`	$var element = document.getElementById("moose-equation-8225aae6-e8aa-43e9-bee9-5736133ced72");katex.render("u_z", element, {displayMode:false,throwOnError:false});$	Velocity component along the z-axis [m/s] (if specified to output vector-valued velocity)
`vel`	$var element = document.getElementById("moose-equation-8c91f9c2-d8ec-48ec-b512-123eb9e11b7c");katex.render("u", element, {displayMode:false,throwOnError:false});$	Velocity component along flow channel direction [m/s] (if specified not to output vector-valued velocity)
`rho`	$var element = document.getElementById("moose-equation-8b026c9f-5614-462d-a6b4-289d9017b9d5");katex.render("\\rho", element, {displayMode:false,throwOnError:false});$	Density [kg/m $var element = document.getElementById("moose-equation-3bda1894-7b00-4275-860a-3a1897d47fed");katex.render("^3", element, {displayMode:false,throwOnError:false});$ ]
`p`	$var element = document.getElementById("moose-equation-fd0ef8f9-8db0-4097-949d-33d28b7970ba");katex.render("p", element, {displayMode:false,throwOnError:false});$	Pressure [Pa]
`T`	$var element = document.getElementById("moose-equation-8168819d-db4c-4e2e-be74-f42bfd2d201a");katex.render("T", element, {displayMode:false,throwOnError:false});$	Temperature [K]
`v`	$var element = document.getElementById("moose-equation-b0ff2324-ffe0-4ce6-9203-c24750f69db4");katex.render("v", element, {displayMode:false,throwOnError:false});$	Specific volume [m $var element = document.getElementById("moose-equation-78d5fe88-c2f7-4bf7-bb54-9b8563419234");katex.render("^3", element, {displayMode:false,throwOnError:false});$ /kg]
`e`	$var element = document.getElementById("moose-equation-466a3cef-a159-4941-ba41-8a39ec1dd363");katex.render("e", element, {displayMode:false,throwOnError:false});$	Specific internal energy [J/kg]
`H`	$var element = document.getElementById("moose-equation-5f3de617-b90a-4bee-9f0c-793b5a4bb174");katex.render("H", element, {displayMode:false,throwOnError:false});$	Specific total enthalpy [J/kg]

Material Properties

The following material properties are created on the flow channel:

Material Property	Symbol	Description
`direction`	$var element = document.getElementById("moose-equation-01f99e5a-94a8-43ac-bfbf-5ed97af3b675");katex.render("\\mathbf{d}", element, {displayMode:false,throwOnError:false});$	Flow channel direction vector [-]
`rhoA`	$var element = document.getElementById("moose-equation-a53a9e22-1698-4537-9869-7cd1c4063b81");katex.render("\\rho A", element, {displayMode:false,throwOnError:false});$	Mass per unit length [kg/m] (slope-reconstructed)
`rhouA`	$var element = document.getElementById("moose-equation-96b265a8-363d-4c0d-ad7c-d14d6501648e");katex.render("\\rho u A", element, {displayMode:false,throwOnError:false});$	Momentum per unit length; mass flow rate [kg/s] (slope-reconstructed)
`rhoEA`	$var element = document.getElementById("moose-equation-0a303f15-409c-4c63-aa1e-e16eea9aabb9");katex.render("\\rho E A", element, {displayMode:false,throwOnError:false});$	Energy per unit length [J/m] (slope-reconstructed)
`vel`	$var element = document.getElementById("moose-equation-803c476d-34b3-4ad7-aa71-5cd5a81cd78c");katex.render("u", element, {displayMode:false,throwOnError:false});$	Velocity component along flow channel direction [m/s]
`rho`	$var element = document.getElementById("moose-equation-ceb5fb7f-d27e-442a-9eec-9d6450a6035a");katex.render("\\rho", element, {displayMode:false,throwOnError:false});$	Density [kg/m $var element = document.getElementById("moose-equation-d6ad3dfa-bfd0-400f-b1a1-5f7bc7e07761");katex.render("^3", element, {displayMode:false,throwOnError:false});$ ]
`p`	$var element = document.getElementById("moose-equation-269af2e5-6776-4850-b842-8a0856e40b47");katex.render("p", element, {displayMode:false,throwOnError:false});$	Pressure [Pa]
`T`	$var element = document.getElementById("moose-equation-e0c996f9-b905-4a99-b7f9-8b9ca72f558e");katex.render("T", element, {displayMode:false,throwOnError:false});$	Temperature [K]
`v`	$var element = document.getElementById("moose-equation-55caef34-cee6-4273-8b63-317f1846f3b6");katex.render("v", element, {displayMode:false,throwOnError:false});$	Specific volume [m $var element = document.getElementById("moose-equation-b301eae5-45d8-40ff-b467-b309d7e18d22");katex.render("^3", element, {displayMode:false,throwOnError:false});$ /kg]
`e`	$var element = document.getElementById("moose-equation-8b90b1e8-914c-4b50-bb4d-0be0dafc3739");katex.render("e", element, {displayMode:false,throwOnError:false});$	Specific internal energy [J/kg]
`h`	$var element = document.getElementById("moose-equation-11f56a17-b5ca-428d-abb8-4e21513fbe67");katex.render("h", element, {displayMode:false,throwOnError:false});$	Specific enthalpy [J/kg]
`H`	$var element = document.getElementById("moose-equation-397535cd-8afa-4b8c-b3f7-074bdf7aaa76");katex.render("H", element, {displayMode:false,throwOnError:false});$	Specific total enthalpy [J/kg]
`c`	$var element = document.getElementById("moose-equation-3ce1952d-38e7-4387-8d0d-622bd670816d");katex.render("c", element, {displayMode:false,throwOnError:false});$	Sound speed [m/s]
`cp`	$var element = document.getElementById("moose-equation-0f246d8f-585b-41a3-93c3-04a279bc07f9");katex.render("c_p", element, {displayMode:false,throwOnError:false});$	Isobaric specific heat capacity [J/(kg-K)]
`cv`	$var element = document.getElementById("moose-equation-47b340f3-6cff-4f44-b7ad-b65c9cdd9446");katex.render("c_v", element, {displayMode:false,throwOnError:false});$	Isochoric specific heat capacity [J/(kg-K)]
`k`	$var element = document.getElementById("moose-equation-ba17dc4d-a558-4ee7-8a23-9d578c6bee9a");katex.render("k", element, {displayMode:false,throwOnError:false});$	Thermal conductivity [W/(m-K)]
`mu`	$var element = document.getElementById("moose-equation-fd0d26b1-1c06-4654-b95b-9cb4323ff80e");katex.render("\\mu", element, {displayMode:false,throwOnError:false});$	Dynamic viscosity [Pa-s]
`f_D`	$var element = document.getElementById("moose-equation-ecc162b2-2609-4986-84fe-3f5e62d1a043");katex.render("f_D", element, {displayMode:false,throwOnError:false});$	Darcy friction factor [-]
`D_h`	$var element = document.getElementById("moose-equation-1f867f5f-bfd9-43f9-988f-6b601ee90351");katex.render("D_h", element, {displayMode:false,throwOnError:false});$	Hydraulic diameter [m]
`q_wall`	$var element = document.getElementById("moose-equation-1430c8e4-1d6b-41bc-ae84-59f807f9ddd5");katex.render("q_\\text{wall}", element, {displayMode:false,throwOnError:false});$	Wall heat flux [W/m $var element = document.getElementById("moose-equation-6ce709fc-6976-4df6-a174-48379792fea8");katex.render("^2", element, {displayMode:false,throwOnError:false});$ ] (if no connected heat transfer)

Formulation

See Berry et al. (2016) for a description of the single-phase flow formulation.

Convergence

If using ComponentsConvergence, a Convergence object of type MultiPostprocessorConvergence is used that returns CONVERGED if all of the following are true and returns ITERATING otherwise:

var element = document.getElementById("moose-equation-451d64b3-4a17-431d-b559-1230cbcbd0c1");katex.render("\\frac{\\|p^{\\ell} - p^{\\ell-1}\\|_\\infty}{p_\\text{ref}} \\leq \\tau_p", element, {displayMode:true,throwOnError:false});

var element = document.getElementById("moose-equation-99dffbb9-32a6-4ef9-b08c-1becaf38f178");katex.render("\\frac{\\|T^{\\ell} - T^{\\ell-1}\\|_\\infty}{T_\\text{ref}} \\leq \\tau_T", element, {displayMode:true,throwOnError:false});

var element = document.getElementById("moose-equation-5c6d44f0-95f0-4767-9ea8-25acc6bb11a8");katex.render("\\frac{\\|u^{\\ell} - u^{\\ell-1}\\|_\\infty}{u_\\text{ref}} \\leq \\tau_u", element, {displayMode:true,throwOnError:false});

var element = document.getElementById("moose-equation-fb3e2a55-f957-4ed2-8151-981dad319853");katex.render("\\frac{\\|R_\\text{mass}\\|_\\infty}{\\rho_\\text{ref} A_\\text{ref} h_\\text{min}} \\leq \\tau_\\text{mass}", element, {displayMode:true,throwOnError:false});

var element = document.getElementById("moose-equation-fee47af8-680e-4923-9d67-40f770c1d646");katex.render("\\frac{\\|R_\\text{momentum}\\|_\\infty}{\\rho_\\text{ref} u_\\text{ref} A_\\text{ref} h_\\text{min}} \\leq \\tau_\\text{momentum}", element, {displayMode:true,throwOnError:false});

var element = document.getElementById("moose-equation-379f7321-c046-4a30-934c-77b73601f754");katex.render("\\frac{\\|R_\\text{energy}\\|_\\infty}{\\rho_\\text{ref} E_\\text{ref} A_\\text{ref} h_\\text{min}} \\leq \\tau_\\text{energy}", element, {displayMode:true,throwOnError:false});

where

$var element = document.getElementById("moose-equation-13a888ee-8011-47f6-9c64-6c0b6c4096c5");katex.render("p^{\\ell}", element, {displayMode:false,throwOnError:false});$ is the pressure at iteration $var element = document.getElementById("moose-equation-fe413412-34ef-48d4-bd34-dce29c8a4cd8");katex.render("\\ell", element, {displayMode:false,throwOnError:false});$ ,
$var element = document.getElementById("moose-equation-7d56014c-1f86-4b89-ae7e-d6c9f670bf1a");katex.render("T^{\\ell}", element, {displayMode:false,throwOnError:false});$ is the temperature at iteration $var element = document.getElementById("moose-equation-ad0da78d-f7c4-4495-aee7-17a6b79ecda1");katex.render("\\ell", element, {displayMode:false,throwOnError:false});$ ,
$var element = document.getElementById("moose-equation-da2a51d9-7301-4986-ac1c-c4ec8fcfa768");katex.render("u^{\\ell}", element, {displayMode:false,throwOnError:false});$ is the velocity at iteration $var element = document.getElementById("moose-equation-b181d261-0d3a-4b23-8736-116737817b42");katex.render("\\ell", element, {displayMode:false,throwOnError:false});$ ,
$var element = document.getElementById("moose-equation-acc2f2ac-e72b-406a-b32a-bf96edf211b4");katex.render("p_\\text{ref}", element, {displayMode:false,throwOnError:false});$ is a reference pressure,
$var element = document.getElementById("moose-equation-17a40fd4-4b1e-4dd6-a5c9-c2a9f2ac024e");katex.render("T_\\text{ref}", element, {displayMode:false,throwOnError:false});$ is a reference temperature,
$var element = document.getElementById("moose-equation-e56c4299-ebdf-40f9-b972-ec7d01b90255");katex.render("u_\\text{ref}", element, {displayMode:false,throwOnError:false});$ is a reference velocity,
$var element = document.getElementById("moose-equation-2c39a3d7-ffbf-4285-bb76-1fa8cf4745ba");katex.render("\\rho_\\text{ref} = \\rho(p_\\text{ref}, T_\\text{ref})", element, {displayMode:false,throwOnError:false});$ is a reference density,
$var element = document.getElementById("moose-equation-7a39baee-f38e-4fd9-998c-c54a1049f2f4");katex.render("E_\\text{ref} = e(p_\\text{ref}, T_\\text{ref}) + \\frac{1}{2} u_\\text{ref}^2", element, {displayMode:false,throwOnError:false});$ is a reference specific total energy,
$var element = document.getElementById("moose-equation-104bf312-355e-4bb5-9be2-cca6aa9d1e0c");katex.render("A_\\text{ref} = A(\\mathbf{x}_\\text{mid})", element, {displayMode:false,throwOnError:false});$ is a reference cross-sectional area, evaluated at the midpoint $var element = document.getElementById("moose-equation-889ad347-b7a2-4459-916f-cae0cf264752");katex.render("\\mathbf{x}_\\text{mid}", element, {displayMode:false,throwOnError:false});$ of the channel,
$var element = document.getElementById("moose-equation-b534ac84-03ef-4c76-83c7-2365d768bca8");katex.render("h_\\text{min}", element, {displayMode:false,throwOnError:false});$ is the minimum element size on the channel,
$var element = document.getElementById("moose-equation-069ee9e8-c93e-46e4-9fcf-f51fd7240279");katex.render("\\tau_p", element, {displayMode:false,throwOnError:false});$ is a tolerance for the pressure step,
$var element = document.getElementById("moose-equation-ee8feca8-e010-47da-a4ac-54dcb408bdee");katex.render("\\tau_T", element, {displayMode:false,throwOnError:false});$ is a tolerance for the temperature step,
$var element = document.getElementById("moose-equation-4c88fc85-e1fe-4cee-a20f-12ad2d6a129a");katex.render("\\tau_u", element, {displayMode:false,throwOnError:false});$ is a tolerance for the velocity step,
$var element = document.getElementById("moose-equation-e60d628b-6c3b-4b22-b892-478a2b7b625a");katex.render("R_\\text{mass}", element, {displayMode:false,throwOnError:false});$ is the mass equation residual,
$var element = document.getElementById("moose-equation-3681ab99-ab3c-475a-b89b-60b862f3638b");katex.render("R_\\text{momentum}", element, {displayMode:false,throwOnError:false});$ is the momentum equation residual,
$var element = document.getElementById("moose-equation-2d19ae21-488f-469e-b76d-6df08bf3a9b5");katex.render("R_\\text{energy}", element, {displayMode:false,throwOnError:false});$ is the energy equation residual,
$var element = document.getElementById("moose-equation-cffeb799-b9d5-48db-a203-e20d6645deb4");katex.render("\\tau_\\text{mass}", element, {displayMode:false,throwOnError:false});$ is the mass equation tolerance,
$var element = document.getElementById("moose-equation-ef2d163e-7209-4adf-a0a1-1f1342db27be");katex.render("\\tau_\\text{momentum}", element, {displayMode:false,throwOnError:false});$ is the momentum equation tolerance,
$var element = document.getElementById("moose-equation-76d7a81c-ad2d-46b8-b007-6e2f9438c952");katex.render("\\tau_\\text{energy}", element, {displayMode:false,throwOnError:false});$ is the energy equation tolerance, and
$var element = document.getElementById("moose-equation-ad10c4bd-eb99-4124-bcf3-a904a96cf7a0");katex.render("\\|\\cdot\\|_\\infty", element, {displayMode:false,throwOnError:false});$ is the $var element = document.getElementById("moose-equation-b1400e01-9e14-43f9-b1e1-ad02f3e9616b");katex.render("\\ell_\\infty", element, {displayMode:false,throwOnError:false});$ norm over the channel.

note:One iteration required

This object always returns ITERATING for the first iteration due to the usage of step criteria.

The following parameters are relevant for these checks:

"p_ref": The reference pressure $var element = document.getElementById("moose-equation-202420d7-9559-4110-b5ad-98c89c7ca114");katex.render("p_\\text{ref}", element, {displayMode:false,throwOnError:false});$ ,
"T_ref": The reference temperature $var element = document.getElementById("moose-equation-0b945529-70b5-4ce2-8fa1-e42d8af4105b");katex.render("T_\\text{ref}", element, {displayMode:false,throwOnError:false});$ ,
"vel_ref": The reference velocity $var element = document.getElementById("moose-equation-0c6fe1d7-6b92-469b-acc8-42f41d701bcc");katex.render("u_\\text{ref}", element, {displayMode:false,throwOnError:false});$ ,
"p_rel_step_tol": The relative step tolerance for pressure $var element = document.getElementById("moose-equation-3ccf7339-2591-4175-bf1e-854eb3f34397");katex.render("\\tau_p", element, {displayMode:false,throwOnError:false});$ ,
"T_rel_step_tol": The relative step tolerance for temperature $var element = document.getElementById("moose-equation-d9200674-e142-43cb-abb3-9ad8ebb47730");katex.render("\\tau_T", element, {displayMode:false,throwOnError:false});$ ,
"vel_rel_step_tol": The relative step tolerance for velocity $var element = document.getElementById("moose-equation-176c8629-404d-47a3-9c49-ca52d3ae320f");katex.render("\\tau_u", element, {displayMode:false,throwOnError:false});$ ,
"mass_res_tol": The mass residual tolerance $var element = document.getElementById("moose-equation-093a8c26-2f22-4d6e-bf29-472565522d28");katex.render("\\tau_\\text{mass}", element, {displayMode:false,throwOnError:false});$ ,
"momentum_res_tol": The momentum residual tolerance $var element = document.getElementById("moose-equation-c044f1e8-f99c-4e7f-9f8c-b27b06de57fb");katex.render("\\tau_\\text{momentum}", element, {displayMode:false,throwOnError:false});$ ,
"energy_res_tol": The energy residual tolerance $var element = document.getElementById("moose-equation-cff45f34-b7a2-4f32-ac3d-502025d01bda");katex.render("\\tau_\\text{energy}", element, {displayMode:false,throwOnError:false});$ .

References

R. A. Berry, L. Zou, H. Zhao, H. Zhang, J. W. Peterson, R. C. Martineau, S. Y. Kadioglu, and D. Andrs. RELAP-7 theory manual. Technical Report INL/EXT-14-31366, Idaho National Laboratory, 2016.

@techreport{relap7theory,
    author = "Berry, R. A. and Zou, L. and Zhao, H. and Zhang, H. and Peterson, J. W. and Martineau, R. C. and Kadioglu, S. Y. and Andrs, D.",
    title = "{RELAP-7} Theory Manual",
    institution = "Idaho National Laboratory",
    number = "INL/EXT-14-31366",
    year = "2016"
}

Usage
Input Parameters
Mesh
Variables
Material Properties
Formulation
Convergence
References

FlowChannel1Phase

Usage

Input Parameters

Required Parameters

Optional Parameters

Advanced Parameters

Variable Initialization Parameters

Numerical Scheme Parameters

Mesh

Axial Discretization

Blocks and Boundaries

Variables

Material Properties

Formulation

Convergence

References

position

orientation

length

n_elems

axial_region_names

orientation

A

fp

closures

initial_p

initial_T

initial_vel

passives_names

initial_passives

vpp_vars

create_flux_vpp

position

orientation

length

length

n_elems

length

n_elems

n_elems

length

length

n_elems

axial_region_names

length

axial_region_names

length

length

p_ref

T_ref

vel_ref

p_rel_step_tol

T_rel_step_tol

vel_rel_step_tol

mass_res_tol

momentum_res_tol

energy_res_tol