Ityp = 2

Block Format Keyword This law enables to model a material inlet/outlet by directly imposing its state.

Format

(1)	(3)	(5)
/MAT/LAW11/`mat_ID`/`unit_ID` or /MAT/BOUND/`mat_ID`/`unit_ID`
`mat_title`
$ρ_{i}$ $ρ_{i}$	$ρ_{0}$ $ρ_{0}$
`Ityp`	`P`_sh	`Fscale`_T

Ityp = 2 - General Inlet/Outlet

(1)	(2)	(3)
Blank Format
$fct_{ID}_{ρ}$ $fct_{ID}_{ρ}$
`fct_ID`_p		`P`₀
`fct_ID`_E		`E`₀
Blank Format
Blank Format
`fct_ID`_T	`fct_ID`_Q

Definitions

Field	Contents	SI Unit Example
`mat_ID`	Material identifier (Integer, maximum 10 digits)
`unit_ID`	Unit Identifier. (Integer, maximum 10 digits)
`mat_title`	Material title (Character, maximum 100 characters)
$ρ_{i}$ $ρ_{i}$	Initial density 3 (Real)	$[\frac{kg}{m^{3}}]$ $[\frac{kg}{m^{3}}]$
$ρ_{0}$ $ρ_{0}$	Reference density used in E.O.S (equation of state) Default $ρ_{0} = ρ_{i}$ $ρ_{0} = ρ_{i}$ (Real)	$[\frac{kg}{m^{3}}]$ $[\frac{kg}{m^{3}}]$
`Ityp`	Boundary condition type 1 = 0 Gas inlet (from stagnation point data) = 1 Liquid inlet (from stagnation point data) = 2 General inlet/outlet = 3 Non-reflecting boundary (Integer)
`P`_sh	Pressure shift 2 (Real)	$[Pa]$ $[Pa]$
`Fscale`_v	Time scale factor 3 (Real)	$[s]$ $[s]$
`fct_ID` $ρ$ $ρ$	Function $f_{ρ} (t)$ $f_{ρ} (t)$ identifier for boundary density 3 = 0 $ρ (t) = ρ_{i}$ $ρ (t) = ρ_{i}$ > 0 $ρ (t) = ρ_{i} \cdot f_{ρ} (t)$ $ρ (t) = ρ_{i} \cdot f_{ρ} (t)$ (Integer)
`fct_ID`_p	Function $f_{P} (t)$ $f_{P} (t)$ identifier for boundary pressure 3 = 0 $P (t) = P_{0}$ $P (t) = P_{0}$ > 0 $P (t) = P_{0} \cdot f_{P} (t)$ $P (t) = P_{0} \cdot f_{P} (t)$ (Integer)
$P_{0}$ $P_{0}$	Initial pressure 3 (Real)	$[Pa]$ $[Pa]$
`fct_ID`_E	Function $f_{E} (t)$ $f_{E} (t)$ identifier for boundary density 3 = 0 $E (t) = E_{0}$ $E (t) = E_{0}$ > 0 $E (t) = E_{0} \cdot f_{E} (t)$ $E (t) = E_{0} \cdot f_{E} (t)$ (Integer)
$E_{0}$ $E_{0}$	Initial energy 3 6 (Real)	$[Pa]$ $[Pa]$
`fct_ID`_T	Function $f_{T} (t)$ $f_{T} (t)$ identifier for boundary temperature 3 4 = 0 `T = T`_adjacent = n $T = T_{0} \cdot f_{T} (t)$ $T = T_{0} \cdot f_{T} (t)$ (Integer)
`fct_ID`_Q	Function $f_{Q} (t)$ $f_{Q} (t)$ identifier for boundary heat flux 3 4 = 0 No imposed flux = n $Q = f_{Q} (t)$ $Q = f_{Q} (t)$ (Integer)

Comments

Provided state is directly imposed to inlet boundary elements. This leads to the following inlet state:
(1)
$\begin{array}{l} ρ_{i n} = ρ_{i} f_{ρ} (t) \\ P_{i n} = P_{0} f_{P} (t) \\ P_{i n} = P_{0} f_{P} (t) \\ E_{i n} = {(ρ e)}_{i n} = E_{0} f_{E} (t) \end{array}$ $\begin{array}{l} ρ_{i n} = ρ_{i} f_{ρ} (t) \\ P_{i n} = P_{0} f_{P} (t) \\ P_{i n} = P_{0} f_{P} (t) \\ E_{i n} = {(ρ e)}_{i n} = E_{0} f_{E} (t) \end{array}$

With this formulation, you may impose velocity on boundary nodes to be consistent with physical inlet velocity (/IMPVEL). /MAT/LAW11 - ITYP=0 and 1, are based on material state from stagnation point, where you do not need to imposed an inlet velocity.
The P_sh parameter enables shifting the output pressure which also becomes P-P_sh. If using P_sh=P(t=0), the output pressure will be $Δ P$ $Δ P$ , with an initial value of 0.0.
If no function is defined, then related quantity $(P_{stagnation}, ρ_{stagnation}, T, or Q)$ $(P_{stagnation}, ρ_{stagnation}, T, or Q)$ remains constant and set to its initial value. However, all input quantities $(P_{stagnation}, ρ_{stagnation}, T, and Q)$ $(P_{stagnation}, ρ_{stagnation}, T, and Q)$ can be defined as time dependent function using provided function identifiers. Abscissa functions can also be scaled using Fscale_T parameter which leads to use f (Fscale_t * t) instead of f(t).
With thermal modeling, all thermal data ( $T_{0}, ρ_{0} C_{P}$ $T_{0}, ρ_{0} C_{P}$ , ...) can be defined with /HEAT/MAT.
It is not possible to use this boundary material law with multi-material ALE laws 37 (/MAT/LAW37 (BIPHAS)) and 51 (/MAT/LAW51 (MULTIMAT)).
Specific volume energy E is defined as $E = \frac{E_{int}}{V}$ $E = \frac{E_{int}}{V}$ , where $E_{int}$ $E_{int}$ is the internal energy. It can be output using /TH/BRIC.
Specific mass energy e is defined as $e = \frac{E_{int}}{m}$ $e = \frac{E_{int}}{m}$ . This leads to $ρ e = E$ $ρ e = E$ . Specific mass energy e can be output using /ANIM/ELEM/ENER. This may be a relative energy depending on user modeling.