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Linear Static Analysis (Elasticity, Parallel)

To perform a static analysis (elasticity) with 4-way parallel execution, use the data in tutorial/02_elastic_hinge_parallel.

Analysis Target

Item Description Notes Reference
Analysis type Linear static analysis !SOLUTION,TYPE=STATIC
Number of nodes 84,056
Number of elements 49,871
Element type 10-node quadratic tetrahedral element !ELEMENT,TYPE=342 Element Library
Material name STEEL !MATERIAL,NAME=STEEL Material Data
Material property ELASTIC !ELASTIC
Boundary conditions Constraint, concentrated load
Matrix solution CG/SSOR !SOLVER,METHOD=CG,PRECOND=1

Computational domain of each node

Figure 4.2.1 Computational domain of each node

Analysis Details

Extract the FrontISTR source code, move to the directory for this example, and verify that the files required for the analysis

File Name Type Role
hecmw_ctrl.dat Global control data
hinge.cnt Analysis control data
hinge.msh Mesh data
hecmw_part_ctrl.dat Domain partitioning control data Control data used when hecmw_part1 partitions the mesh data into domains

are present.

tar xvf FrontISTR.tar.gz
cd FrontISTR/tutorial/02_elastic_hinge_parallel
ls

Output:

hecmw_ctrl.dat  hecmw_part_ctrl.dat  hinge.cnt  hinge.msh

Perform a stress analysis by constraining the displacement of the constrained surface and applying a concentrated load to the loaded surface.

The global control data, analysis control data, and domain partitioning control data are shown below.

Global Control Data hecmw_ctrl.dat

#
# for partitioner
#
!MESH, NAME=part_in,TYPE=HECMW-ENTIRE # Original mesh data to be partitioned by hecmw_part1
 hinge.msh
!MESH, NAME=part_out,TYPE=HECMW-DIST  # File name after partitioning by hecmw_part1
 hinge_4
#
# for solver
#
!MESH, NAME=fstrMSH, TYPE=HECMW-DIST  # Specify the partitioned mesh data
 hinge_4
!CONTROL, NAME=fstrCNT                # Specify the analysis control data
 hinge.cnt
!RESULT, NAME=fstrRES, IO=OUT         # Specify the result data
 hinge.res
!RESULT, NAME=vis_out, IO=OUT         # Specify the visualization data
 hinge_vis

Analysis Control Data hinge.cnt

#  Control File for FISTR
## Analysis Control
!VERSION                   # Specify the file-format version
 3
!SOLUTION, TYPE=STATIC     # Specify the analysis type
!WRITE,RESULT              # Specify result-data output
!WRITE,VISUAL              # Specify visualization-data output
## Solver Control
### Boundary Conditon
!BOUNDARY
 BND0, 1, 3, 0.000000      # Specify constrained surface 1
!BOUNDARY
 BND1, 1, 3, 0.000000      # Specify constrained surface 2
!CLOAD
 CL0, 1, 0.01000           # Specify the loaded surface
### Material
!MATERIAL, NAME=STEEL      # Specify the material properties
!ELASTIC                   # Define elastic properties
 210000.0, 0.3
!DENSITY                   # Define mass density
 7.85e-6
### Solver Setting
!SOLVER,METHOD=CG,PRECOND=1,ITERLOG=YES,TIMELOG=YES  # Solver control
 10000, 2
 1.0e-08, 1.0, 0.0
## Post Control
!VISUAL,metod=PSR          # Specify the visualization method
!surface_num=1             # Number of surfaces in one surface rendering
!surface 1                 # Specify the surface contents
!output_type=VTK           # Specify the visualization file type
!END                       # Indicates the end of the analysis control data

Domain Partitioning Control Data hecmw_part_ctrl.dat

!PARTITION,TYPE=NODE-BASED,METHOD=PMETIS,DOMAIN=4,UCD=part.inp

Analysis Procedure

To run FrontISTR with MPI, first partition the mesh data hinge.msh into 4 domains.

hecmw_part1

Output:

Oct 07 11:04:52 Info: Reading mesh file...
Oct 07 11:04:52 Info: Starting domain decomposition...
Oct 07 11:04:52 TH(0/8) Info: Creating local mesh for domain #0 ...
Oct 07 11:04:52 TH(2/8) Info: Creating local mesh for domain #1 ...
Oct 07 11:04:52 TH(6/8) Info: Creating local mesh for domain #2 ...
Oct 07 11:04:52 TH(7/8) Info: Creating local mesh for domain #3 ...
Oct 07 11:04:52 Info: Domain decomposition done

New files named hinge_4.x and part.inp are generated.

ls

Output:

hecmw_ctrl.dat  hecmw_part_ctrl.dat  hinge.msh  hinge_4.1  hinge_4.3
hecmw_part.log  hinge.cnt            hinge_4.0  hinge_4.2  part.inp

Next, run the FrontISTR executable command fistr1 using MPI.

mpirun -np 4 fistr1 -t 1

(Run with 4 MPI processes and 1 OpenMP thread)

##################################################################
#                         FrontISTR                              #
##################################################################
---
version:    5.1.0
git_hash:   acab000c8c633b7b9d596424769e14363f720841
build:
  date:     2020-10-05T07:39:55Z
  MPI:      enabled
  OpenMP:   enabled
  option:   "-p --with-tools --with-refiner --with-metis --with-mumps --with-lapack --with-ml --with-mkl "
  HECMW_METIS_VER: 5
execute:
  date:       2020-10-07T11:07:21+0900
  processes:  4
  threads:    1
  cores:      4
  host:
    0: flow-p06
    1: flow-p06
    2: flow-p06
    3: flow-p06
---
...
 Step control not defined! Using default step=1
 fstr_setup: OK
 Start visualize PSF 1 at timestep 0

 loading step=    1
 sub_step= 1,   current_time=  0.0000E+00, time_inc=  0.1000E+01
 loading_factor=    0.0000000   1.0000000
### 3x3 BLOCK CG, SSOR, 2
      1    2.183567E+00
      2    2.423900E+00
      3    2.939117E+00
...
   2084    1.158654E-08
   2085    1.032414E-08
   2086    9.436273E-09
### Relative residual = 9.43589E-09

### summary of linear solver
      2086 iterations      9.435886E-09
    set-up time      :     4.695220E-02
    solver time      :     7.103976E+01
    solver/comm time :     1.929294E+01
    solver/matvec    :     1.544405E+01
    solver/precond   :     3.243278E+01
    solver/1 iter    :     3.405549E-02
    work ratio (%)   :     7.284205E+01

 Start visualize PSF 1 at timestep 1
### FSTR_SOLVE_NLGEOM FINISHED!

 ====================================
    TOTAL TIME (sec) :     72.42
           pre (sec) :      0.29
         solve (sec) :     72.13
 ====================================
 FrontISTR Completed !!

The analysis is complete when FrontISTR Completed !! is displayed.

Analysis Results

When the analysis is complete, several new files are created.

ls

Output:

0.log       FSTR.dbg.3           hinge.cnt      hinge.res.2.1  hinge_vis_psf.0000
1.log       FSTR.msg             hinge.msh      hinge.res.3.0  hinge_vis_psf.0000.pvtu
2.log       FSTR.sta             hinge.res.0.0  hinge.res.3.1  hinge_vis_psf.0001
3.log       hecmw_ctrl.dat       hinge.res.0.1  hinge_4.0      hinge_vis_psf.0001.pvtu
FSTR.dbg.0  hecmw_part.log       hinge.res.1.0  hinge_4.1      part.inp
FSTR.dbg.1  hecmw_part_ctrl.dat  hinge.res.1.1  hinge_4.2
FSTR.dbg.2  hecmw_vis.ini        hinge.res.2.0  hinge_4.3

*.res.* files are result data and contain the analysis results for each FrontISTR MPI node. They can be displayed with REVOCAP_PrePost and similar tools.

*_vis_* files are visualization data and can be displayed with general-purpose visualization software. In this example, they are output in VTK format and are displayed using ParaView or similar software.

Figure 4.2.2 Analysis results for von Mises stress (displayed in VTK)

Analysis Result Log 0.log

 fstr_setup: OK
#### Result step=     0
 ##### Local Summary @Node    :Max/IdMax/Min/IdMin####
 //U1    0.0000E+00         1  0.0000E+00         1
 //U2    0.0000E+00         1  0.0000E+00         1
 //U3    0.0000E+00         1  0.0000E+00         1
 //E11   0.0000E+00         1  0.0000E+00         1
 //E22   0.0000E+00         1  0.0000E+00         1
 //E33   0.0000E+00         1  0.0000E+00         1
 //E12   0.0000E+00         1  0.0000E+00         1
 //E23   0.0000E+00         1  0.0000E+00         1
 //E31   0.0000E+00         1  0.0000E+00         1
 //S11   0.0000E+00         1  0.0000E+00         1
 //S22   0.0000E+00         1  0.0000E+00         1
 //S33   0.0000E+00         1  0.0000E+00         1
 //S12   0.0000E+00         1  0.0000E+00         1
 //S23   0.0000E+00         1  0.0000E+00         1
 //S31   0.0000E+00         1  0.0000E+00         1
 //SMS   0.0000E+00         1  0.0000E+00         1
 ##### Local Summary @Element :Max/IdMax/Min/IdMin####
 //E11   0.0000E+00         1  0.0000E+00         1
 //E22   0.0000E+00         1  0.0000E+00         1
 //E33   0.0000E+00         1  0.0000E+00         1
 //E12   0.0000E+00         1  0.0000E+00         1
 //E23   0.0000E+00         1  0.0000E+00         1
 //E31   0.0000E+00         1  0.0000E+00         1
 //S11   0.0000E+00         1  0.0000E+00         1
 //S22   0.0000E+00         1  0.0000E+00         1
 //S33   0.0000E+00         1  0.0000E+00         1
 //S12   0.0000E+00         1  0.0000E+00         1
 //S23   0.0000E+00         1  0.0000E+00         1
 //S31   0.0000E+00         1  0.0000E+00         1
 //SMS   0.0000E+00         1  0.0000E+00         1
 ##### Global Summary @Node    :Max/IdMax/Min/IdMin####
 //U1    0.0000E+00        14  0.0000E+00        14
 //U2    0.0000E+00        14  0.0000E+00        14
 //U3    0.0000E+00        14  0.0000E+00        14
 //E11   0.0000E+00        14  0.0000E+00        14
 //E22   0.0000E+00        14  0.0000E+00        14
 //E33   0.0000E+00        14  0.0000E+00        14
 //E12   0.0000E+00        14  0.0000E+00        14
 //E23   0.0000E+00        14  0.0000E+00        14
 //E31   0.0000E+00        14  0.0000E+00        14
 //S11   0.0000E+00        14  0.0000E+00        14
 //S22   0.0000E+00        14  0.0000E+00        14
 //S33   0.0000E+00        14  0.0000E+00        14
 //S12   0.0000E+00        14  0.0000E+00        14
 //S23   0.0000E+00        14  0.0000E+00        14
 //S31   0.0000E+00        14  0.0000E+00        14
 //SMS   0.0000E+00        14  0.0000E+00        14
 ##### Global Summary @Element :Max/IdMax/Min/IdMin####
 //E11   0.0000E+00        14  0.0000E+00        14
 //E22   0.0000E+00        14  0.0000E+00        14
 //E33   0.0000E+00        14  0.0000E+00        14
 //E12   0.0000E+00        14  0.0000E+00        14
 //E23   0.0000E+00        14  0.0000E+00        14
 //E31   0.0000E+00        14  0.0000E+00        14
 //S11   0.0000E+00        14  0.0000E+00        14
 //S22   0.0000E+00        14  0.0000E+00        14
 //S33   0.0000E+00        14  0.0000E+00        14
 //S12   0.0000E+00        14  0.0000E+00        14
 //S23   0.0000E+00        14  0.0000E+00        14
 //S31   0.0000E+00        14  0.0000E+00        14
 //SMS   0.0000E+00        14  0.0000E+00        14
#### Result step=     1
 ##### Local Summary @Node    :Max/IdMax/Min/IdMin####
 //U1    7.4906E-03     50978 -6.9368E-04     51989
 //U2    6.1150E-05      2426 -1.2781E-04     40202
 //U3    1.8720E-04      2712 -5.5024E-03     67858
 //E11   1.3024E-03     28591 -1.2844E-03     28580
 //E22   2.1102E-04     24593 -2.0594E-04       205
 //E33   6.8634E-04     51036 -5.9603E-04     67794
 //E12   5.2186E-04       209 -5.4559E-04     28641
 //E23   2.5417E-04     28521 -3.2956E-04       187
 //E31   7.2396E-04     36168 -9.5847E-04     28591
 //S11   3.6844E+02     28591 -3.6387E+02     28580
 //S22   1.5841E+02     28591 -1.5743E+02     28580
 //S33   1.5959E+02     51036 -1.5643E+02     28580
 //S12   4.2150E+01       209 -4.4067E+01     28641
 //S23   2.0529E+01     28521 -2.6618E+01       187
 //S31   5.8474E+01     36168 -7.7415E+01     28591
 //SMS   2.5134E+02     28591  3.5157E-02     12726
 ##### Local Summary @Element :Max/IdMax/Min/IdMin####
 //E11   1.0115E-03      9959 -9.7870E-04      9942
 //E22   1.5457E-04     13694 -1.4639E-04      7189
 //E33   5.9415E-04     44563 -5.0497E-04     47965
 //E12   3.5513E-04      9579 -3.9083E-04      9600
 //E23   2.0608E-04      9563 -2.3480E-04      9589
 //E31   5.7633E-04     43142 -4.8019E-04      9571
 //S11   2.6038E+02      9573 -2.5605E+02      9571
 //S22   1.0144E+02      9573 -1.0100E+02      9571
 //S33   1.3921E+02     44569 -1.1431E+02     47974
 //S12   2.8683E+01      9579 -3.1567E+01      9600
 //S23   1.6645E+01      9563 -1.8964E+01      9589
 //S31   4.6550E+01     43142 -3.8785E+01      9571
 //SMS   2.0350E+02      9959  3.4602E-02        28
 ##### Global Summary @Node    :Max/IdMax/Min/IdMin####
 //U1    3.9115E-02     82452 -7.1083E-04     65233
 //U2    7.4504E-05       354 -5.8813E-04       696
 //U3    5.9493E-04        84 -5.8751E-03     61080
 //E11   1.3777E-03       130 -1.3653E-03     77625
 //E22   4.9199E-04        61 -5.4370E-04       102
 //E33   6.8634E-04     51036 -6.1176E-04     30070
 //E12   7.1556E-04     27808 -6.8093E-04     27863
 //E23   5.3666E-04        56 -5.4347E-04        82
 //E31   7.2396E-04     36168 -9.6621E-04       130
 //S11   3.8626E+02       130 -3.6387E+02     28580
 //S22   1.6628E+02       130 -1.5743E+02     28580
 //S33   1.6502E+02     30033 -1.5643E+02     28580
 //S12   5.7795E+01     27808 -5.4998E+01     27863
 //S23   4.3345E+01        56 -4.3896E+01        82
 //S31   5.8474E+01     36168 -7.8040E+01       130
 //SMS   2.8195E+02     77625  1.2755E-02     75112
 ##### Global Summary @Element :Max/IdMax/Min/IdMin####
 //E11   1.0731E-03     10485 -1.2123E-03     41779
 //E22   3.9143E-04     33536 -4.1389E-04     22892
 //E33   5.9415E-04     44563 -5.0497E-04     47965
 //E12   5.3264E-04      9163 -5.0405E-04      9161
 //E23   3.9226E-04     33024 -4.1464E-04     23465
 //E31   5.7633E-04     43142 -4.8019E-04      9571
 //S11   2.7231E+02      9180 -2.9763E+02     41779
 //S22   1.0792E+02      9180 -1.0656E+02     41779
 //S33   1.3921E+02     44569 -1.1431E+02     47974
 //S12   4.3021E+01      9163 -4.0712E+01      9161
 //S23   3.1683E+01     33024 -3.3490E+01     23465
 //S31   4.6550E+01     43142 -3.8785E+01      9571
 //SMS   2.4057E+02     41779  3.1383E-02     38687