/INIMAP2D

Block Format Keyword Map 2D velocity and thermodynamic values into a 3D axi-symmetric space for use with /ALE/EULER materials.

Format

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
/INIMAP2D/form/inimap2d_ID
inimap2d_title
node_ID1 node_ID2 node_ID3              
grbric_ID grquad_ID grtria_ID              
fct2d_ID1 fct2d_ID2 fct2d_ID3              

Definitions

Field Contents SI Unit Example
form Initial state formulation.
VE
Mass density, specific internal energy and velocity are provided.
VP
Mass density, pressure and velocity are provided.
 
inimap2d_ID Inimap2d block identifier.

(Integer, maximum 10 digits)

 
inimap2d_title Inimap2d block title.

(Character, maximum 100 characters)

 
node_ID1 Node 1 identifier.

(Integer, maximum 10 digits)

 
node_ID2 Node 2 identifier.

(Integer, maximum 10 digits)

 
node_ID3 Node 3 identifier.

(Integer, maximum 10 digits)

 
grbric_ID Brick group on which initialization is performed.

(Integer)

 
grquad_ID Quad group on which initialization is performed.

(Integer)

 
grtria_ID Tria group on which initialization is performed.

(Integer)

 
fct2d_ID1 2D function identifier (from /FUNC_2D) for density initialization.

(Integer)

 
fct2d_ID2 2D function identifier (from /FUNC_2D) for specific internal energy initialization (if form=VE).

Pressure initialization (if form=VP).

(Integer)

 
fct2d_ID3 2D function identifier (from /FUNC_2D) for velocity initialization.

(Integer)

 

Example

/INIMAP2D/VE/1
INIMAP2D1
# node_ID1  node_ID2  node_ID3
    130602    131262     96789
#grbric_ID grquad_ID grtria_ID
         1         0         0
#fct2d_ID1 fct2d_ID2 fct2d_ID3
         1         0         3        
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/FUNC_2D/1
for density initialization
#      dim
         1
#                  X                   Y                  Z1
#            X-coord             Y-Coord             density 
          0.00000000          0.00000000        109.00000000
          0.00195695          0.00000000        114.00000000
          0.00391389          0.00000000        111.00000000
          0.00587084          0.00000000        109.00000000
          0.00782779          0.00000000        114.00000000
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/FUNC_2D/3
for velocity initialization
#      dim
         2
#                  X                   Y                  Z1                  Z2
#            X-coord             Y-Coord          velocity x          velocity y
          0.00097656          0.00097656         -0.00026680         -0.02174114
          0.00097656          0.00292969         -0.00080037         -0.02173459
          0.00097656          0.00488281         -0.00133382         -0.02172149
          0.00097656          0.00683594         -0.00186707         -0.02170185
          0.00097656          0.00878906         -0.00240003         -0.02167567
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
#enddata

Comments

  1. node_ID1, node_ID2 and node_ID3 define the local coordinate system used for mapping.

    Where, node_ID1 amd node_ID2 define X ' MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaaCiwaiGacE caaaa@3784@

    node_ID1 and node_ID3 define Y " MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKf MBHbqefqvATv2CG4uz3bIuV1wyUbqedmvETj2BSbqefm0B1jxALjhi ov2DaebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY=Hhbbc9v8 qqaqFr0xb9pg0xb9qqaqFn0dXdHiVcFbIOFHK8Feea0dXdar=Jb9hs 0dXdHuk9fr=xfr=xfrpeWZqaaiaaciWacmaadaGabiaaeaGaauaaaO qaaiaahMfacaGGIaaaaa@3BD0@
    • Z ' = X ' Λ Y " MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKf MBHbqefqvATv2CG4uz3bIuV1wyUbqedmvETj2BSbqefm0B1jxALjhi ov2DaebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY=Hhbbc9v8 qqaqFr0xb9pg0xb9qqaqFn0dXdHiVcFbIOFHK8Feea0dXdar=Jb9hs 0dXdHuk9fr=xfr=xfrpeWZqaaiaaciWacmaadaGabiaaeaGaauaaaO qaaiaahQfacaGGNaGaeyypa0JaaCiwaiaacEcacqqHBoatcaWHzbGa aiOiaaaa@4165@
    • Y ' = Z Λ X MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKf MBHbqefqvATv2CG4uz3bIuV1wyUbqedmvETj2BSbqefm0B1jxALjhi ov2DaebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY=HhbHc9v8 qqaqFr0xb9pg0xb9qqaqFn0dXdHiVcFbIOFHK8Feea0dXdar=Jb9hs 0dXdHuk9fr=xfr=xfrpeWZqaaiaaciWacmaadaGabiaaeaGaauaaaO qaaiaahMfacaGGNaGaeyypa0JabCOwayaafaGaeu4MdWKabCiwayaa faaaaa@4034@


    Figure 1. Moving System with Dir=X

    Y ' MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaaCiwaiGacE caaaa@3784@ is the axis of symmetry for the 3D axi-symmetric mapped data.

  2. The coordinates of 2D data that will be mapped are defined in the local X ' MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaaCiwaiGacE caaaa@3784@ and Y ' MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaaCiwaiGacE caaaa@3784@ system using the /FUNC_2D X and Y input.
  3. When mapping scalar quantities such as density, pressure and energy, use /FUNC_2D with dim=1 and define the scalar value using Z1. For vector quantities such as velocity, use /FUNC_2D with dim=2 and define the vector using Z1 and Z2 (Figure 3 and Figure 4).
  4. When form=VE, the model is initialized from density, specific internal energy and velocity. This formulation is available for all mono-material ALE / EULER material laws and with material /MAT/LAW151 (MULTIFLUID) when only one sub-material is present.
  5. When form=VP, the model is initialized from density, pressure and velocity. This formulation is available for all mono-material ALE / EULER material laws whose equation of state is provided through the /EOS card and with material /MAT/LAW151 when only one sub-material is present.


    Figure 2. 2D Scalar Input


    Figure 3. Resulting Mapping onto a 50 x 50 x 50 Cubic Mesh


    Figure 4. 2D Scalar Velocity Profile


    Figure 5. Resulting mapping on a 50 x 50 x 50 cubic mesh (bottom)