Ityp = 3

Block Format Keyword

/MAT/B-K-EPS - ITYP=3 - Boundary Conditions Material for Flow Analysis with Turbulence

Description

This law enables to model a non-reflecting boundary (NRF). Input card is similar to /MAT/LAW11 (BOUND), but introduces two new lines to define turbulence parameters.

law11_ityp3

Format

(1)	(2)	(3)	(4)	(5)	(6)	(7)	(8)	(9)	(10)
/MAT/B-K-EPS/mat_ID
mat_title

Ityp		Psh

Ityp =3 - Non-Reflecting Boundary

(1)	(3)	(5)	(6)	(7)
	c	lc
Blank Format
Blank Format
Blank Format
		fct_IDk	fct_IDe
c				Pr / Prt
Blank Format

Field	Contents	SI Unit Example
mat_ID	Material identifier (Integer, maximum 10 digits)
mat_title	Material title (Character, maximum 100 characters)
	Initial density (Comment 3) (Real)
	Reference density used in E.O.S (equation of state) Default (Real)
Ityp	Boundary condition type (Comment 1) (Integer) = 0: gas inlet (from stagnation point data) = 1: liquid inlet (from stagnation point data) = 2: general inlet/outlet = 3: non-reflecting boundary
Psh	Pressure shift (Comment 2) (Real)
c	Outlet sound speed (Comment 1) (Real)
lc	Characteristic length (Comment 1) (Real)
	Initial turbulent energy (Real)
	Initial turbulent dissipation (Real)
fct_IDk	(Optional) Function identifier for turbulence modeling (Integer) = 0: > 0:
fct_IDe	(Optional) Function identifier for energy (Integer) = 0: = n:
c	Turbulent viscosity coefficient Default = 0.09 (Real)
	Diffusion coefficient for k parameter Default = 1.00 (Real)
	Diffusion coefficient for ε parameter Default = 1.30 (Real)
Pr / Prt	Ratio between Laminar Prandtl number (Default 0.7) and turbulent Prandtl number (Default 0.9). (Real)

#RADIOSS STARTER

#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|

/MAT/B-K-EPS/5

GAS OUTLET (unit: kg_m_s)

# RHO_I

.3828

# ITYP Psh

3 0.0

# c lc

605 0.3

#blank line

# Rho0k0 Rho0Eps0 fct_k fct_eps

20 0 0 0

# Cmu Sigma-k Sigma-epsilon Pr/Prt

0 0 0 0

#blank line

/ALE/MAT/5

# Modif. factor.

#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|

#enddata

/END

#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|

1.	Non-Reflecting Boundary formulation is based on Bayliss & Turkel [1]. The objective is to impose a mean pressure which fluctuate with rapid variations of pressure and velocity:

Pressure in the far field P is imposed with a function of time. The transient pressure is derived from P, the local velocity field V and the normal of the outlet facet:

•	density, energy, temperature, turbulent energy and dissipation are imposed with a function of time as in Ityp = 2

•	if the function number is 0, the neighbor element value is used to respect continuity

•	acoustic impedance will be

•

typical length lc is used to relax the effective pressure towards its imposed value. It should be large compared to the highest wave length of interest in the problem. The relaxation term acts as high pass filter whose frequency cut-off is:

Where, sound speed c and characteristic length lc are two required parameters (non zero).

2.	The PSH parameter enables shifting the output pressure which also becomes P-PSH. If using PSH=P(t=0), the output pressure will be , with an initial value of 0.0.

3.	With thermal modeling, all thermal data (, …) can be defined with /HEAT.

4.	It is not possible to use this boundary material law with multi-material ALE laws 37 (BIMAT) and 51 (MULTIMAT).

[1] A. Bayliss, E. Turkel, “Outflow Boundary Condition for Fluid Dynamics”, NASA-CR-170367, Institute for Computer Application in Science and Engineering, August 7, 1980