/EOS/LSZK

Block Format Keyword Describes the Landau-Stanyukovich-Zeldovich-Kompaneets EOS for detonation products.

Format

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
/EOS/LSZK/mat_ID/unit_ID
eos_title
γ P0 Psh A b

Definition

Field Contents SI Unit Example
mat_ID Material identifier.

(Integer, maximum 10 digits)

 
unit_ID Unit Identifier.

(Integer, maximum 10 digits)

 
eos_title EOS title.

(Character, maximum 100 characters)

 
γ Heat capacity ratio γ = C p C v MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaaabaaaaaaaaape Gaeq4SdCMaeyypa0ZaaSaaa8aabaWdbiaadoeapaWaaSbaaSqaa8qa caWGWbaapaqabaaakeaapeGaam4qa8aadaWgaaWcbaWdbiaadAhaa8 aabeaaaaaaaa@3D36@ .

(Real)

 
P0 Initial pressure.

(Real)

[ Pa ]
Psh Pressure shift.

(Real)

[ Pa ]
A EOS parameter.

(Real)

[ Pa ]
b EOS parameter.

(Real)

 

Example (Gas)

#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/UNIT/1
unit for mat
                   g                  mm                  ms
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/MAT/LAW06/7/1
fluid material
#              RHO_I        
            1.225e-6          
#                 NU                PMIN
                   0               1e-20
/EOS/LSZK/7/1
artificial EOS
#              GAMMA                  P0                 PSH                   A                   B      
                2.78              0.1013                   0                1.00                1.00
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
#enddata

Comments

  1. The Landau-Stanyukovich-Zeldovich-Kompaneets EOS 1 for detonation products is:(1)
    P ( ρ , e ) = ( γ 1 ) ρ e + a ρ b
    Where,
    ρ
    Density
    e
    Internal energy density by mass
    b
    Material parameters
    (2)
    μ = ρ ρ 0 1 = V 0 V 1
    This leads to:(3)
    P ( μ , E ) = ( γ 1 ) ( 1 + μ ) E + A ( 1 + μ ) b
    Which is the form used by Radioss where,(4)
    A = a ρ 0 b
    Where,
    E
    Internal energy by initial volume
    A and b
    Material parameters
  2. Equations of state are used by Radioss to compute the hydrodynamic pressure and are compatible with the material laws:
    • /MAT/LAW3 (HYDPLA)
    • /MAT/LAW4 (HYD_JCOOK)
    • /MAT/LAW6 (HYDRO or HYD_VISC)
    • /MAT/LAW10 (DPRAG1)
    • /MAT/LAW12 (3D_COMP)
    • /MAT/LAW49 (STEINB)
    • /MAT/LAW102 (DPRAG2)
    • /MAT/LAW103 (HENSEL-SPITTEL)
1 Needham, Charles E. Blast Waves. Springer, 2003
2 Lutzky, Morton. The Flow Field Behind a Spherical Detonation in TNT Using the Landau-Stanyukovich Equation of State for Detonation Products. No. NOLTR-64-40. Naval Ordance Lab White Oak, MD, 1964