Block Format Keyword
/MAT/LAW6 - Hydrodynamic Viscous Fluid Material
Description
Describes the hydrodynamic viscous fluid material using a polynomial EOS.
Format
(1)
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(2)
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(3)
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(4)
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(5)
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(6)
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(7)
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(8)
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(9)
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(10)
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/MAT/LAW6/mat_ID/unit_ID or /MAT/HYDRO/mat_ID/unit_ID
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mat_title
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C0
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C1
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C2
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C3
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Pmin
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Psh
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C4
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C5
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E0
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Field
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Contents
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SI Unit Example
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mat_ID
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Material identifier
(Integer, maximum 10 digits)
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unit_ID
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Optional unit identifier
(Integer, maximum 10 digits)
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mat_title
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Material title
(Character, maximum 100 characters)
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Initial density
(Real)
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Reference density used in E.O.S (equation of state)
Default = (Real)
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Kinematic viscosity
(Real)
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C0
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Constant parameter coefficient
(Real)
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C1
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Constant parameter coefficient
(Real)
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C2
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Constant parameter coefficient
(Real)
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C3
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Constant parameter coefficient
(Real)
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Pmin
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Pressure cutoff ( < 0 )
Default = -1030 (Real)
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Psh
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Pressure shift
(Real)
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C4
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Energy coefficient
(Real)
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C5
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Energy coefficient
(Real)
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E0
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Initial energy per unit volume
(Real)
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#RADIOSS STARTER
/UNIT/1
unit for mat
kg m s
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/MAT/HYDRO/4/1
AIR
# RHO_I RHO_0
1.22 0
# Knu
1.5E-5
# C0 C1 C2 C3
0 0 0 0
# Pmin Psh
0 101320
# C4 C5 E0
0.4 0.4 253300
/EULER/MAT/4
# Modif. factor.
0
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
#enddata
/END
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
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1. |  |
Where, for no turbulence, Sij is the deviatoric stress tensor and is the deviatoric strain tensor.
2. | Pressure is defined as: |

with and E being the internal energy unit reference volume.
3. | In case of a perfect gas: |
and 
with being the perfect gas constant.
4. | In case of an incompressible gas: |
and 
with c being the sound speed.
5. | In case of a linear material with a volumetric dilatation: |
and 
and 
then:




If P = cst = 0, then l=; so 
Where, is the dilatation coefficient, means dilatation, and in this case the parameters C2 and C3 will not be taken into account.
6. | All thermal data ( ) can be defined with keyword /HEAT. |
7. | If using Law 6 coupled with Law 37 for liquid phase (without gas phase), the compatibility of the liquid EOS is as follows: |
• | for Law 6 |
with 
then, 
8. | If using Law 6 coupled with Law 37 for gas phase (without liquid phase), the compatibility of the gas EOS is as follows: |
• | PV = cst for Law 37 |
• | for Law 6 |
with | and  |

then,




Where, E is the energy per unit volume and e is the energy per unit mass.
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See Also:
Material Compatibility
Law Compatibility with Failure Model
Example 43 - Perfect Gas Modeling with Polynomial EOS
/MAT/LAW6 in Theory Manual