Card 9 - TABTYPE Table Variable Type Definition

This optional card defines dependent and independent variable types for values defined in the table.

Parameters: KODE, N1, T1, T2

KODE

KODE is the code TABTYPE (or 8)

N1

N1 is the table number.

T1

T1 is the code for the dependent variable type.

T2

T2 is the code for independent variable type.


Code	Code description	Dep. or ind. variable
`ALBEDO` (or 72)	`ALBEDO` is Albedo value.	Dep.
`CAP` (or 3)	`CAP` is the capacitance of an element.	Both
`COND` (or 1)	`COND` is the current linearized conductance value, if used as the independent variable. `COND` is a conductance multiplier when it is used as the dependent variable. The original conductance value is multiplied by the value interpolated from the table.	Both
`CPP` (or 2015)	`CPP` is the specific heat at constant pressure at the element. The independent variable must be `TEMP` or `TIME` and referenced from a MAT Card.	Dep.
`CURRENT` (or 30)	`CURRENT` is a current boundary condition specified for an electrical resistance element.	Dep.
`DELTAPT` (or 2003)	`DELTAPT` is the total pressure rise if it is the dependent variable for a FANPUMP hydraulic element. `DELTAPT` is a flow boundary condition and is considered positive if there is a total pressure rise over the element. `DELTAPT` is the total pressure dropif it is used as the independent variable for a DUCT or FLOWRES element. `DELTAPT` is then considered positive if there is a total pressure drop over the element. The table should be referenced from a PROP DUCT, PROP FLOWRES, or PROP FANPUMP Card.	Both
`DT` (or 16)	`DT` is the integration time step for transient runs.	Dep.
`DTEMPMAX` (or 59)	`DTEMPMAX` is the maximum allowable temperature change during a transient run. See the description of the Card 9 - PARAM Parameter. The independent variable must be TIME.	Dep.
`DTP` (or 17)	`DTP` is the printout time interval for transient runs.	Dep.
`E` (or 18)	`E` is the emissivity of an element. The independent variable code must be `TEMP` or `TIME`. The table should be referenced from Card 9 - MAT Material Property Definition.	Dep.
`EID` (or 130)	`EID` is the element number of the dependent variable.	Ind.
`ELECRES` (or 31)	`ELECRES` is the electrical resistivity specified for an electrical resistance element.	Dep.
`EY` (or 193)	`EY` is the Young's modulus of the given material.	Dep.
`FLOWRES` (or 2002)	`FLOWRES` is the hydraulic flow resistance multiplier. The table should be referenced from a PROP FLOWRES or PROP DUCT Card.	Dep.
`HTFL` (or 19)	`HTFL` is heat flow through a conductance.	Ind.
`INDEX` (or 141)	`INDEX` is an index of a parameter value in specifying a list of parameters of a function. The dependent variable must be `PARAMETER`.	Ind.
`KTHERM` (or 2017)	`KTHERM` is the thermal conductivity of an element.	Dep.
`KXX` (or 2019)	`KXX` is the orthotropic or anisotropic thermal conductivity in the material X direction.	Dep.
`KXY` (or 2020)	`KXY` is the anisotropic thermal conductivity in the material XY direction.	Dep.
`KXZ` (or 2021)	`KXZ` is the anisotropic thermal conductivity in the material XZ direction	Dep.
`KYY`(or 35)	`KYY` is the orthotropic or anisotropic thermal conductivity in the material Y direction.	Dep.
`KYZ` (or 2022)	`KYZ` is the anisotropic thermal conductivity in the material YZ direction.	Dep.
`KZZ` (or 36)	`KZZ` is the orthotropic or anisotropic thermal conductivity in the material Z direction.	Dep.
`LATITUDE (or 123)`	`LATITUDE` is the latitude value.	Ind.
`LONGITUDE` (or 185)	`LONGITUDE` is the longitude value.	Ind.
`MASSFL` (or 2005)	`MASSFL` is the mass flow through a 2-node hydraulic or stream element. If used as the dependent variable, then the table is a flow boundary condition for a FANPUMP or STREAM element. The table should be referenced from a PROP FANPUMP or PROP STREAM Card. If used as the independent variable the table must reference a `DUCT` or `FLOWRES` hydraulic element. It is considered positive in the reference forward direction of the element.	Both
`NU` (or 194	`NU` is the Poisson's ratio of the given material.	Dep.
`NUMBER` (or 118)	`NUMBER` is a dimensionless quantity. It can be used with any type of dependent variable. It is mainly intended for use as a multiplier in table operations.	Dep.
`OPERAT` (or 135)	`OPERAT` is an operation, independent variable on TABTYPE. See Notes below.	Ind.
`PABS` (or 2025)	`PABS` is the absolute pressure at a hydraulic element.	Ind.
`PARAMETER` (or 120)	`PARAMETER` is a value of arbitrary dimensionality to describe a list of parameters of a function. The independent variable is a parameter index. The meaning and dimensionality of each `PARAMETER` value is determined by the type of function which references the PARAMETER vs. INDEX table. The independent variable must be `INDEX`.	Dep.
`PDYN` (or 2010)	`PDYN` is the dynamic pressure `RHOV²/2` at a hydraulic element.	Ind.
`PIR` (or 47)	`PIR` is the planet IR radiation. It is the emissive power per unit area leaving the surface of the planet.	Dep.
`PRINT` (or 58)	`PRINT` is an option, where a printout is created during transient runs for all the time points specified in the table. The independent variable should be `TIME`. An `INTERP` Card should be specified. The value of the dependent variable on the TABDATA card is ignored, only its sign matters. If the dependent variable is < `0`, then calculations will be made at the corresponding time step value, but no printout will occur. If the dependent variable is ≥ `0`, then printout will occur.	Dep.
`PSTATIC` (or 2009)	`PSTATIC` is the static pressure at the hydraulic element.	Ind.
`PSUN` (or 46)	`PSUN` is the Card 2a solar power per unit area parameter at a particular time value. Independent variable must be `TIME`.	Dep.
`PTOTAL` (or 2008)	`PTOTAL` is the total pressure at a hydraulic element. If used as the dependent variable, the table must point to a `PSINK` element, and is considered to be a boundary condition.	Both
`QNODE` (or 4)	`QNODE` is the heat load into an element. If it is used the independent variable, it is considered to be the total heat load into the element. If it is used as the dependent variable, it is summed with all other heat loads into the element, and is a boundary condition.	Both
`REDUCT` (or 2006)	`REDUCT` is the Reynolds Number based on hydraulic diameter.	Ind.
`RELENGT` (or 2013)	`RELENGT` is the Reynolds Number for a hydraulic element based on the distance from the start of the boundary layer to the element's CG. The boundary layer is considered to start at the immediately upstream `BLSTART` element.	Ind.
`RHO` (or 2018)	`RHO` is the density of the element referenced from Card 9 - MAT Material Property Definition.	Both
`RHOAMB` (or 2018)	`RHOAMB` is the density of the ambient fluid for hydraulic elements.	Both
`ROTATION` (or 32)	`ROTATION` is the angular rotation of an element in degrees.	Dep.
`SEEBECK` (or 60)	`SEEBECK` is the temperature-dependent Seebeck coefficient.	Dep.
`TABLE` (or 117)	`TABLE` is a table number, interpolated variable.	Dep.
`TDIF` (or 22)	`TDIF` is the absolute value of the temperature difference between the elements of a single conductance. It can be used only when a conductance number references the conductance. The dependent variable must be `COND`.	Ind.
`TEMP` (or 2)	`TEMP` is the temperature of an element. If used as the dependent variable, the element must be a `SINK` or `AMBIENT` element. If used as the independent variable, and the dependent variable is a conductance, and the conductance number is the dependent variable value on the INTERP Card, then: If the independent variable value on the INTERP Card is the same as the dependent variable value, then average temperatures of the two ends of the conductance are used as the independent variable. If the independent variable value on the INTERP Card is different from the dependent variable value, then temperatures of the independent variable value will be used as the independent variable.	Both
`TEMPX` (or 119)	`TEMPX` is the mean value of the solver calculated temperatures of all elements whose IDs are listed in the independent variable column of the table. This is meant for using element temperatures in table operations. The values in the dependent variable columns are ignored. The independent variable must be `EID`.	Dep.
`THICKNESS` (or 2023)	`THICKNESS` is the thickness of an element.	Dep.
`THMCDISP` (or 139)	`THMCDISP` is a contact gap distance for contact thermal couplings in thermo-mechanical coupling runs. The dependent variable must be `COND`.	Ind.
`THMCPRES` (or 140)	`THMCPRES` is a contact gap pressure for contact thermal couplings in thermo-mechanical coupling runs. The dependent variable must be `COND`.	Ind.
`TIME` (or 0)	`TIME` is the time value during a transient run. The table is considered to be periodic, with a period equal to the (largest-smallest) time value in the table.	Ind.
`TPHASE` (or 40)	`TPHASE` is the phase change temperature of an element.	Dep.
`TPRIME` (or 101)	`TPRIME` is the temperature value of the first element of the conductance. If a Card 6e thermal coupling references a table whose independent variable is `TPRIME`, the independent variable will be the temperature of the `N1` (primary) element.	Ind.
`TRANS` (or 33)	`TRANS` is the translation of a point in units of length.	Dep.
`USER1ARR` `USER2ARR` `\|` `USER9ARR` (or 91-99)	`USER1ARR…USER9ARR` are codes for table interpolation to be used with the `CALL USERARRAY` routine in a Card 10 user-written subroutine. For more information, Card 10 - User-Written Subroutines USER1 and USERF.	Ind.
`USERF` (or 43)	`USERF` is a code for invoking a user-written function. For this option, the value of the dependent variable is evaluated with a user-written subroutine instead of table interpolation. For more information, Card 10 - User-Written Subroutines USER1 and USERF.	Ind.
`VALUE` (or 126)	`VALUE` is the quantity of arbitrary or unknown type. This is intended for tables referenced from symbolic expressions through EXPTAB cards.	Dep
`VELOC` (or 2007)	`VELOC` is the flow velocity through the hydraulic element. If the table referenced from a PROP FANPUMP Card it must be the dependent variable and is a flow boundary condition. If the table is referenced from a `PROP DUCT` or `PROP FLOWRES` element, it must be the independent variable. Velocity is considered positive in the referenced forward direction of the 2-node element.	Both
`VISC` (or 2016)	`VISC` is fluid viscosity. The independent variable code must be `TEMP` or `TIME`. The table should be referenced from a MAT Card.	Dep.
`VOLTAGE` (or 29)	`VOLTAGE` is voltage boundary conditions specified for an electrical resistance element.	Dep.
`VOLUME` (or 2004)	`VOLUME` is volume flow through the hydraulic element. If the table referenced from a PROP FANPUMP Card, it must be the dependent variable and is a flow boundary condition. If the table referenced from a PROP DUCT or PROP FLOWRES Card, it must be the independent variable. The volume flow is considered positive in the referenced forward direction of the 2-node element.	Both

Code example

TABTYPE 12 QNODE TEMP 
TABDATA 12 10 0
TABDATA 12 20 10
$ TABLE 12 CONTAINS HEAT LOAD VS TEMP DATA

Notes

This Card describes the nature of the dependent and independent variables of table N1.

Each table must be specified with a single TABTYPE and one or more TABDATA Cards.

Tables may be referenced from within user-written subroutines, Card 6e thermal coupling Cards, and from INTERP, PROP, and MAT Cards.

The dependent and independent variables allowed in various boundary conditions can be referenced indirectly through TABTYPE[ID] TABLE OPERATION and/or TABTYPE[ID] TABLE TIME.

Table Operations:

A sequence of interpolation, addition, subtraction, multiplication, and division operations on an element parameter may be performed with a single table if the table independent variable is OPERAT, and the dependent variable is TABLE on the TABTYPE Card. On the corresponding TABDATA Card the dependent variable must be table number, and the independent variable must be the mnemonic INTERP, ADD, SUBTRACT, MULTIPLY, DIVIDE, HTCMOD1 or THERMST. The first operation on the TABDATA Card must be INTERP.

This is best illustrated with an example:

INTERP 403 0 6 3.8
 
TABTYPE 6 TABLE OPERAT
 
TABDATA 6 7 INTERP
 
TABDATA 6 8 ADD
 
TABTYPE 7 QNODE TIME
 
TABDATA 7 6.2 0
 
TABTYPE 8 QNODE TIME
 
TABDATA 8 3.0 0

The heat load of 34.96 to element 403 is evaluated from table 6 as follows:

First, the value of 6.2 is computed by interpolation from table 7. Next, the value of 3.0 is computed by interpolation from table 8, and added to the value of 6.2, yielding 9.2. Finally, the result is multiplied by 3.8, yielding the value of 34.96.

Heat Transfer Correction (HTCMOD1)

The table operation with HTCMOD1 (Heat Transfer Correction) mnemonic is only applicable to TABLE OPERATION tables that define conductances or conductance multipliers. That operation acts as a multiplier in the table operation sequence (similarly to MULTIPLY or THERMST). The multiplier form is the following:

Where

C is the "Multiplier" number
exp1 is the "Temperature Ratio Exponent"
exp2 is the "Temperature Difference Exponent"
T_ref is the "Reference Temperature"
T_wall is the "wall temperature" (first element of the conductance)
T_aw is the temperature of the other element of conductance

The first and second elements of the conductance normally come from primary and secondary selections of elements in thermal couplings. Parameters C, exp1, exp2, and T_ref are specified by the table whose ID is given in the independent variable value position of the HTCMOD1 line. The dependent and independent variable types of that referenced table should be PARAMETER and INDEX and it should have 4 TABDATA lines, in which the independent variable values should be 1, 2, 3, 4 and the dependent variable values should be the values of C, exp1, exp2, and Tref parameters, respectively.

The HTCMOD1 usage can be illustrated with the following example:

TABTYPE  18  TABLE OPERATION
TABDATA  18  19  INTERP
TABDATA  18  20  MULT
TABDATA  18  21  HTCMOD1
 
TABTYPE  19  COND  EID
TABDATA  19  9.995997E+02  9
TABDATA  19  9.995146E+02  10
TABDATA  19  9.998522E+02  11
TABDATA  19  9.998270E+02  12
TABDATA  19  9.999520E+02  13
TABDATA  19  9.999585E+02  14
TABDATA  19  9.999659E+02  15
TABDATA  19  9.999886E+02  16
 
TABTYPE  20  COND  TIME
TABDATA  20  2.500000E+07  0.000000E+00
TABDATA  20  5.000000E+07  1.000000E+02
TABDATA  20  1.000000E+08  1.000000E+03
 
TABTYPE  21  PARAMETER  INDEX
TABDATA  21  R1  1
TABDATA  21  R2  2
TABDATA  21  R3  3
TABDATA  21  R4  4
 
Where R1..R4 are the following:
 
R1 = C is the "Multiplier" number
R2 = exp1 is the "Temperature Ratio Exponent"
R3 = exp2 is the "Temperature Difference Exponent"
R4 = Tref is the "Reference Temperature"

Another example to illustrate the usage of the mnemonic THERMST:

THERMST  177  0  40.0  100.0  1001  ID
QNODE  235  1.0  T101  ABSOLUTE
TABTYPE  101  TABLE  OPERAT
TABDATA  101     1  INTERP
TABDATA  101  1001  THERMST
TABTYPE  1  QNODE  TIME
TABDATA  1  25.0  0.0

A heat load of 1.0, applied to element 235, is multiplied by the value interpolated from table operation 101. The first operation is an interpolation that returns a heat load multiplier of 25.0, which is subject to a thermostat identified with ID 1001 through the second operation. Thermostat 1001 is a dead zone thermostat with element 177 as a sensor, a cut-in temperature of 40 and a cut-off temperature of 100.

Table Time:

The TABLE TIME usage can be illustrated with the following example:

TSTREAM 1 HEATPICKUP  1.000000E+00 T85
...
TABTYPE 85 TABLE TIME
TABDATA 85 80  0.000000E+00
TABDATA 85 83  5.000000E+01
TABTYPE 80 QNODE EID
TABDATA 80  7.000000E+00 1
TABDATA 80  5.000000E+00 2
TABDATA 80  7.000000E+00 3
TABDATA 80  5.000000E+00 4
TABDATA 80  7.000000E+00 5
TABDATA 80  7.000000E+00 6
TABDATA 80  7.000000E+00 7
TABDATA 80  7.000000E+00 8
TABDATA 80  7.000000E+00 9
TABDATA 80  7.000000E+00 10
TABDATA 80  5.000000E+00 11
TABDATA 80  5.000000E+00 12
TABDATA 80  5.000000E+00 13
TABDATA 80  5.000000E+00 14
TABDATA 80  5.000000E+00 15
TABDATA 80  5.000000E+00 16
TABTYPE 83 QNODE EID
TABDATA 83  8.000000E+00 1
TABDATA 83  6.000000E+00 2
TABDATA 83  8.000000E+00 3
TABDATA 83  6.000000E+00 4
TABDATA 83  8.000000E+00 5
TABDATA 83  8.000000E+00 6
TABDATA 83  8.000000E+00 7
TABDATA 83  8.000000E+00 8
TABDATA 83  8.000000E+00 9
TABDATA 83  8.000000E+00 10
TABDATA 83  6.000000E+00 11
TABDATA 83  6.000000E+00 12
TABDATA 83  6.000000E+00 13
TABDATA 83  6.000000E+00 14
TABDATA 83  6.000000E+00 15
TABDATA 83  6.000000E+00 16

In this example, HEATPICKUP is specified by the table 85, which is also TABLE TIME. Table 80 corresponds to initial time 0.0, and table 83 corresponds to time 50.0. Time between 0.0 and 50.0 is linear interpolation between values given by tables 80 and 83. These tables represent the heat load versus EID.

The heat load of 7.2 to element 7 at time 10 is evaluated as follows:

First, the value 7.0 is computed by interpolation from table 80. Next, the value 8.0 is computed by interpolation from table 83. Interpolation for time 10, between 7.0 associated with time 0, and 8.0 associated with time 50, yields 7.2

Electrical resistance elements

An element is specified to be an electrical resistance element by referencing it on an INTERP Card that points to a table whose dependent variable is the ELECRES electrical resistivity, or specifying the electrical resistivity on a Card 9 MAT. Electrical resistances will be automatically calculated for these elements using the conduction shape factors calculated by the COND module.
Electrical resistance elements form an electrical network. At each iteration or time step voltage, current, and electrical power dissipation will automatically be performed for the electrical network.
The frequency with which the power dissipation of the electrical resistance elements is updated is specified on PARAMELECUPDATE card.
Conductances for the electrical network may also be specified with a Card 6e AREA thermal couplings that reference an ELECRES table. The magnitude of the electrical resistance is the electrical resistance interpolated from the table divided by the calculated thermal coupling value.
An example of this the Card 6e NEARA coupling. If the Card references a table in its EXP field whose dependent variable is ELECRES, then the magnitude of the electrical resistance calculated between the N1 and N2 elements will be:
Where
- R_elec is the electrical resistance calculated between the N1 and N2 elements.
- A(N1) is the area of the N1 element.
- HN1 is the multiplier specified on the Card.
- ELECRES is the electrical resistivity interpolated from the table.
Voltage and/or current boundary conditions may be specified with CURRENT and VOLTAGE tables. At least one voltage boundary condition must be specified for each separate electrical network.
Voltage drops are written in the voltages.unv file, and if the PRINTHFGROUP option is present, to report log file. Power dissipation is written in the POWERDISS.unv file.