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tornadobox [2025/03/17 14:37] – admintornadobox [2025/04/03 17:13] (current) – admin
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-==== Tornado Box====+==== 3-D Fortran CFD code for tornado-like vortices ====
  
-This page provides the Fortran program used for +Grab the code: [[https://github.com/bfiedler/tornadobox | tornadobox at gitbub]]. 
 + 
 +This page describes the Fortran program used for 
 {{ :tornadobox:suction_vortices_and_spiral_breakdown_in_numerical.pdf | my 2009 QJ article}}. {{ :tornadobox:suction_vortices_and_spiral_breakdown_in_numerical.pdf | my 2009 QJ article}}.
 I also still offer [[https://12characters.net/suction/|a more ancient page]] I also still offer [[https://12characters.net/suction/|a more ancient page]]
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 a text file that contain the ''x,y,z'' coordinates of the stretched 3-D grid, of $91 \times 91 \times 46$ grid points.  Grid sizes are of $181 \times 181 \times 91$ are also employed, but those grids are interpolated from the $91 \times 91 \times 46$, when the resolution is doubled in simulations to focus on events of interest. a text file that contain the ''x,y,z'' coordinates of the stretched 3-D grid, of $91 \times 91 \times 46$ grid points.  Grid sizes are of $181 \times 181 \times 91$ are also employed, but those grids are interpolated from the $91 \times 91 \times 46$, when the resolution is doubled in simulations to focus on events of interest.
  
-And here is the domain, grid and buoyancy in the model,  and also low-pressure isosurfaces of a vortex in the center at time ''t=15'', for $\mu=.0001$ and $f=.1$: +The program ''cubit'' was used in the past as a needed precursor to interpolating to the Cartesian grids that were required by the deprecated [[https://en.wikipedia.org/wiki/Vis5D | Vis5d]], which had been used for the renderings.  Here we used ''python'' and the module ''pyvista'' for the renderings. 
-{{ :tornadobox:mu0001f1_181grid.png?direct |Showing the buoyancy, grid , and a vortex.}}+
  
-And here we continue with the simulation from $t=15$ to $t=30$, after doubling the resolution:+=== An example case ===
  
-{{ :tornadobox:mu0001f1_181.mp4 |}}+ Here is the domain, grid and buoyancy in the model,  and also low-pressure isosurfaces of a vortex in the center at time ''t=15'', for $\mu=.0001$ and $f=.1$: 
 +^{{ :tornadobox:mu0001f1_181grid.png?direct |Showing the buoyancy, grid , and a vortex.}}^ 
 +| The gaussian fixed buoyancy field has ellipsoid isosurfaces, three of which are shown. The buoyancy could sustain a hydrostatic pressure deficit of 0.5 at the surface. Alternatively the buoyancy could accelerate a parcel to velocity of 1. The pressure isosurfaces are -0.5 and -1.0. The vertical velocity in the vortex core is $w=1.43$.|
  
 +And here we continue with the simulation from $t=15$ to $t=30$, after doubling the resolution, and zooming in, with a video:
  
 +^{{ :tornadobox:mu0001f1_181.mp4 |}}^
 +|The pressure  $p$ isosurfaces are -4, -2, -1, and -5.  The blue is the isosurface for vertical velocity of $w=-.2$|
  
-------------- +Model runs are identified with a four-character case prefix. Here we suggest the first letter is ''a'', ''b'' or ''c'' for low, medium or high value of viscosity $\mu$. Then $f$ and two digits to denote ''swirl'', which is essentially a Coriolis parameter. If the case is high resolution, we use a capital $F$. We offer ''bf10'' and ''bF10'' in the examples here.
-Ancient, to be revised:+
  
-Assumes: +Here is a plot of the time history of extreme values of speed $s$, vertical velocity $w$, and $q$. 
 +Note $q=\sqrt{2|p|}$ in the plot is a way of plotting pressure as a speed. $q$ can be interpreted as the speed that Bernoulli's equation predicts could be accelerated by the low pressure . 
  
-  * You have the Intel Fortran compiler installed in ''%%~/intel%%'', and that you +^{{ :tornadobox:bf10.png |}}^
  
-untar the ''%%boxprogram%%'' directory in your home directory, meaning ''%%~/boxprogram%%''.  +|A time history of extremes in the low-resolution simulation ''bf10'' and double-resolution simulation ''bF10''.  The double-resolution simulation starts at $t=15$. The extremes are associated with a central vortex, which is chaotic.  The range of extremes is similar in both simulations, but, being chaotic, do not match in time.|
- +
-  * You have the Anaconda distribution of python. At the time of this writing, ''%%mayavi%%'' (for 3D renderings) only runs in python 2.7, and not python 3.0. Here is what I see +
  
 +=== Running the model ===
  
 +The  FORTRAN programs do not accept command line arguments. They may read in files and, when started, need
 +a few strings to be input in response to queries. When first started, ''filetimes.txt'' and ''box.input''  must be in the current working directory.  ''boxn91'' and ''boxn181'' will then output the fields from
 +the simulation at the times specified in ''filetimes.txt''.  These ''.sav'' files are output in a directory ''../boxout'' relative to the current working directory. It is highly recommended that you create a directory with the 4-character case name, and then create a symbolic link ''boxout'' to that directory. Also, ''box.input'' is recommended to be a symbolic link. An input file ''bf10.input'' is included with the distro. If you want to explore
 +the parameter space, you can copy ''bf10.input'' to a new named ''.input'' file, and edit it. For my research, I only change the inverse Reynolds number REI, or $\mu$, and SWIRL, which is $f$.
  
 +Let us begin.
 <code> <code>
-[L boxprogram]$ python +$ cd tornadobox 
-Python 2.7.6 |Anaconda 2.0.0 (64-bit)| (default, May 27 2014, 14:50:58)  +$ mkdir ../bf10 
-</code> +$ ln -s bf10 ../boxout
- +
- +
- +
-  * you have ''%%box.size%%'' and the header within ''%%gridmaker.size%%'' configured for the coarsest resolution:  +
- +
- +
- +
-<code> +
-        PARAMETER(In=91,Jn=91,kn=46, +
-     &            im=In-1,Jm=Jn-1,km=kn-1) +
-</code> +
- +
- +
- +
- +
-<code> +
-$ cd ~ +
-$ gunzip boxprogram.tar.gz +
-$ tar xvf boxprogram +
-$ cd boxprogram +
-$ chmod u+x sourceintel +
-$ ./sourceintel +
-$ ifort -o gridmaker gridmaker.f+
 $ ./gridmaker $ ./gridmaker
-</code> +$ ./makefiletimes.py 0 202 1 
- +$ ./makefiletimes.py 0 202 1 > filetimes.txt
- +
-Two files will be produced:  +
- +
-  * ''%%grid2d.dat%%'' is for comparing with the companion axisymmetric simulations and is not needed.  +
-  * ''%%grid.dat%%'' is what is needed for 3D simulations.  +
- +
- +
- +
-<code> +
-$ chmod u+x compileit +
-$ ./compileit +
-</code> +
- +
- +
-That will produce two fortran programs:  +
- +
-  * ''%%boxn91%%'' The prognostic CFD program  +
-  * ''%%cubit%%'' Interpolates the fields within -.25<x<.25, -.25<y<.25 and 0<z<.5 in the output files from ''%%boxn91%%'', the ''%%.sav%%'' files, to a regular Cartesian grid with equal spacing in all directions, as required by ''%%mayavi%%''  +
- +
-Now we run the model ''%%boxn91%%''.  +
- +
- +
- +
-<code> +
-$ cd ~ +
-$ mkdir out_test +
-$ ln -s out_test boxout +
-$ cd boxprogram +
-</code> +
- +
- +
-Cases are identified with prefixes of four characters, which is short for historical reasons: it fits within four bytes. For example, ''%%aaaa.input%%'' configures case ''%%{aaaa%%''} with the viscosity (inverse Reynolds number) to be ''%%rei=.0004%%'' and the Coriolis parameter f to be ''%%swirl=.05%%''. Somewhere within the simulation you should be able to get a snapshot like this, captured with the deprecated vis5d software:  +
- +
-{{:f0p05-reip0004.png |}} +
- +
- +
- +
-===== running the model ===== +
- +
- +
-The frequency at which the model dumps all the fields (and time derivatives of fields, so the model can in principle be exactly restarted) are within ''%%filetimes.txt%%''.  +
- +
- +
- +
-<code> +
-$ ln -s aaaa.input box.input+
 $ ./boxn91 $ ./boxn91
-</code> 
- 
- 
-This is what you enter at the prompts. It will take the model out to the dump of the dump of ''%%~/boxout/aaaad010000.sav%%''.  
- 
-<code> 
-[L boxprogram]$ ./boxn91 
  continue from previous case?  continue from previous case?
 0 0
   enter four characters: 'case'   enter four characters: 'case'
-'aaaa'+'bf10'
   Current parameters are:   Current parameters are:
  &F  &F
- REI     =  3.9999999E-04,+ REI     =  9.9999997E-05,
  REIT    =  1.0000000E-03,  REIT    =  1.0000000E-03,
- SWIRL   =  5.0000001E-02,+ SWIRL   =  0.1000000    ,
  DTMAX   =  0.1000000    ,  DTMAX   =  0.1000000    ,
  ALIM    =  0.2000000    ,  ALIM    =  0.2000000    ,
Line 204: Line 138:
   enter yes, and store=2, yes, no store=1, no=0   enter yes, and store=2, yes, no store=1, no=0
 0 0
- dtdif=  2.0603456E-02 
  time now =  0.0000000E+00  enter tstop,tdiag  time now =  0.0000000E+00  enter tstop,tdiag
-10,.01+2,.01
 </code> </code>
  
 +**Note**: I always answer ''0'' to the question ''Do you...'' 
 +In less than a minute the model will say FINISHED!
  
-After about ten minutes of wall clock, the model should make it out to ''%%time=10%%'' (dimensionless).  +Now let's restart the model.   
- +But first, put this line at then end of your ''.bashrc'':
- +
 <code> <code>
-    4844.    9.980 0.002060   0.67087   0.67087  -0.04251 +export PATH="/home/bfiedler/tornadobox:/home/bfiedler/bin:$PATH"
-    4849.    9.990 0.002060   0.67100   0.67100  -0.04268 +
-    4854.   10.001 0.002060   0.67112   0.67112  -0.04284 +
-  FINISHED! +
- nloc=        4854   elapsed/nloc  0.0000000E+00  millisecs +
- time=   10.00070       cput=  0.0000000E+00  steps=   4854.000   +
 </code> </code>
- +And, if you haven't done so, you may want this also:
- +
-The numbers you see are also within ''%%aaaa.hist%%'', which will be appended to after restart. Here is what the numbers mean:  +
 <code> <code>
-    4854.   10.001 0.002060   0.67112   0.67112  -0.04284 +source /home/bfiedler/intel/oneapi/setvars.sh
-    step #   time    dt       max speed  max w    min pressure+
 </code> </code>
- +Then open a new window, and ''tornadobox'' should now be in your path.
- +
-The numbers are diagnosed for the central part of the domain, and z<.5, roughly the domain portion seen in the above snapshot.  +
- +
-Next we show how to restart the model.  +
- +
-<code> +
-$ rm restart.sav +
-$ ln -s ../boxout/aaaad010000.sav restart.sav +
-$ ./boxn91 +
-</code> +
- +
- +
-Here is way it looks for me. Note there is a dump of the vertical profile of viscosity. Apparently I was having some confusion/problem about this at some time, so that is why the dump shows up. Note a the number ''%%20.00000%%'' is spit out, which is the time for the next file dump, as acquired from ''%%filetimes.txt%%''.  +
 <code> <code>
-[L boxprogram]$ ./boxn91+$ cd ~/bf10 
 +$ ls 
 +$ cat bf10.hist 
 +$ ln -s bf10d002000.sav restart.sav 
 +$ makefiletimes.py 0 202 1 > filetimes.txt 
 +$ boxn91
  continue from previous case?  continue from previous case?
 1 1
-           1  0.0000000E+00  3.9999999E-04  3.9999999E-04 +  continuing with bf10 
-           2  4.4620000E-03  3.9999999E-04  3.9999999E-04 +  time now:    2.002613     
-           3  9.0290001E-03  3.9999999E-04  3.9999999E-04 + will write .sav to disk at time:   3.000000    
-           4  1.3805000E-02  3.9999999E-04  3.9999999E-04 +
-           5  1.8893000E-02  3.9999999E-04  3.9999999E-04 +
-           6  2.4390001E-02  3.9999999E-04  3.9999999E-04 +
-           7  3.0393001E-02  3.9999999E-04  3.9999999E-04 +
-           8  3.6991000E-02  3.9999999E-04  3.9999999E-04 +
-           9  4.4270001E-02  3.9999999E-04  3.9999999E-04 +
-          10  5.2308001E-02  3.9999999E-04  3.9999999E-04 +
-          11  6.1175998E-02  3.9999999E-04  3.9999999E-04 +
-          12  7.0941001E-02  3.9999999E-04  3.9999999E-04 +
-          13  8.1660002E-02  3.9999999E-04  3.9999999E-04 +
-          14  9.3382001E-02  3.9999999E-04  3.9999999E-04 +
-          15  0.1061500      3.9999999E-04  3.9999999E-04 +
-          16  0.1200000      3.9999999E-04  3.9999999E-04 +
-          17  0.1349580      3.9999999E-04  3.9999999E-04 +
-          18  0.1510460      3.9999999E-04  3.9999999E-04 +
-          19  0.1682760      3.9999999E-04  3.9999999E-04 +
-          20  0.1866550      3.9999999E-04  3.9999999E-04 +
-          21  0.2061860      3.9999999E-04  3.9999999E-04 +
-          22  0.2268610      3.9999999E-04  3.9999999E-04 +
-          23  0.2486730      3.9999999E-04  3.9999999E-04 +
-          24  0.2716050      3.9999999E-04  3.9999999E-04 +
-          25  0.2956400      3.9999999E-04  3.9999999E-04 +
-          26  0.3207550      3.9999999E-04  3.9999999E-04 +
-          27  0.3469230      3.9999999E-04  3.9999999E-04 +
-          28  0.3741180      3.9999999E-04  3.9999999E-04 +
-          29  0.4023070      3.9999999E-04  3.9999999E-04 +
-          30  0.4314580      3.9999999E-04  3.9999999E-04 +
-          31  0.4615390      3.9999999E-04  3.9999999E-04 +
-          32  0.4925120      3.9999999E-04  3.9999999E-04 +
-          33  0.5243420      3.9999999E-04  3.9999999E-04 +
-          34  0.5569940      3.9999999E-04  3.9999999E-04 +
-          35  0.5904310      3.9999999E-04  3.9999999E-04 +
-          36  0.6246150      3.9999999E-04  3.9999999E-04 +
-          37  0.6595120      3.9999999E-04  3.9999999E-04 +
-          38  0.6950850      3.9999999E-04  3.9999999E-04 +
-          39  0.7313000      4.6260000E-04  4.6260000E-04 +
-          40  0.7681220      5.3624407E-04  5.3624407E-04 +
-          41  0.8055170      6.1103405E-04  6.1103405E-04 +
-          42  0.8434540      6.8690802E-04  6.8690802E-04 +
-          43  0.8819000      7.6380005E-04  7.6380005E-04 +
-          44  0.9208260      8.4165210E-04  8.4165210E-04 +
-          45  0.9602020      9.2040398E-04  9.2040398E-04 +
-          46   1.000000      1.0000000E-03  1.0000000E-03 +
-  continuing with aaaa +
-   20.00000    +
   Current parameters are:   Current parameters are:
  &F  &F
- REI     =  3.9999999E-04,+ REI     =  9.9999997E-05,
  REIT    =  1.0000000E-03,  REIT    =  1.0000000E-03,
- SWIRL   =  5.0000001E-02,+ SWIRL   =  0.1000000    ,
  DTMAX   =  0.1000000    ,  DTMAX   =  0.1000000    ,
  ALIM    =  0.2000000    ,  ALIM    =  0.2000000    ,
Line 317: Line 187:
   enter yes, and store=2, yes, no store=1, no=0   enter yes, and store=2, yes, no store=1, no=0
 0 0
- dtdif=  2.0603456E-02 + time now =   2.002613      enter tstop,tdiag 
- time now =   10.00070      enter tstop,tdiag +5,.01 
-200,.01+</code> 
 +**Note**: the answer ''1'' to ''continue from previous case?''
 </code> </code>
  
- +Let's restart the model again, this time so that we can logout from the interactive session. 
-You will need more than 190 minutes for the model to complete. As the tornado spins up, the model reduces the time step to satisfy the CFL condition.  +Use a text editor to make a file name ''answers'', and put in the 3 lines:
- +
-===== plotting some results ===== +
- +
- +
-After the model finishes, you should have time series in ''%%aaaa.hist%%'' that can be plotted.  +
 <code> <code>
-$ python plothist.py aaaa+1 
 +0 
 +30,.01
 </code> </code>
- +Then
- +
-You should see something like this, traces of the maximum values of speed, w and q:  +
- +
- +
-{{:aaaa.png}}  +
- +
-Note q in the plot is a way of plotting pressure as a speed. It is the speed that Bernuolli's equation predicts could be accelerated by the low pressure $q=\sqrt{2|p|}$.  +
- +
-The absolute value just keeps the code from blowing up; the negative values of p are producing the extreme values of q that are plotted.  +
- +
-==== pickle files ==== +
- +
- +
-The python plotting programs for the fields within the ''%%.sav%%'' files require first converting the ''%%.sav%%'' files to a pickle file. This one-time conversion makes it very easy to read the data into a variety of python plotting programs. Here we do an example with the final output at time=200.  +
- +
- +
 <code> <code>
-$ python sav2pkl.py ~/boxout/aaaad020000.sav+$ remove restart.sav 
 +$ ln -s bf10d005000.sav restart.sav 
 +$ nohup boxn91 < answers > outstuff.txt & 
 +$ tail -f outstuff.txt 
 +$ ^C 
 +$ logout
 </code> </code>
  
 +Let's have a break.  When you come back check to see FINISHED in ''outstuff.txt''.
 +On one of my ancient computers with ''Intel(R) Core(TM) i5-6500 CPU @ 3.20GHz'',
 +that required 45 minutes of wall clock.
  
-To see the grid at the surface and in a vertical cross-section through the center: +double the resolution, and repeat the simulation from $t=15$ to $t=30$.
  
 <code> <code>
-$ python gridplot.py ~/boxout/aaaad020000.pkl +$ dubl91 bf10d015000.sav 
-$ display grid_xy.svg +  enter 'case' ,num, 'newcase'  
-$ display grid_xz.svg+'bf10',015000,'bF10'
 </code> </code>
 +$ ln -s bF10E015000.sav restart.sav
 +$ makefiletimes.py 0 202 .05 > filetimes.txt
  
- +continue from previous case? 
-To a see an ugly plot of the vertical velocity at z=.06, together with horizontal wind vector plotted on 1/16th of the grid points, do:  +1 
- +  continuing with bF10 
- +  time now:    15.00064     
 + will write .sav to disk at time:   15.05000     
 +  Current parameters are: 
 + &F 
 + REI     =  9.9999997E-05, 
 + REIT    =  1.0000000E-03, 
 + SWIRL   =  0.1000000    , 
 + DTMAX   =  0.1000000    , 
 + ALIM    =  0.2000000    , 
 + DIFF    =  0.1000000    , 
 + PIT     =   3.000000    , 
 + RLX     =   1.500000    , 
 + GAMMA   =  0.3000000    , 
 + SLIP    =   2.000000    , 
 + ORDER   =   5.000000    , 
 + EX2     =  0.0000000E+00, 
 + EX3     =  0.0000000E+00, 
 + EX4     =  0.0000000E+00 
 + / 
 +  Do you want to change any parameters? 
 +  enter yes, and store=2, yes, no store=1, no=0 
 +0 
 + time now =   15.00064      enter tstop,tdiag 
 +15.1,.01 
 +</code> 
 +That should finish in a few minutes. To simulate out to $t=30$, I  needed about 11 hours and 100G of disk space. 
 +Your previous ''answers'' file should still be appropriate.
 <code> <code>
-$ python plotpkl.py ~/boxout/aaaad020000.pkl +$ rm restart.sav 
-$ eog w20000.png +$ ln -s bF10D015100.sav restart.sav 
 +$ nohup boxn181 < answers >outstuff.txt & 
 +$ tail -f outstuff.txt 
 +$ ^C 
 +$ logout
 </code> </code>
  
 +Check it in the morning.
  
-Plots of the fields will be more effective after we focus on the region where the vortex is. The domain is -2<x<2 -2<y<2 and 0<z<1. We make a new ''%%.sav%%'' file that stores cuts out -.25<x<.25 -.25<y<.25 and 0<z<.5 and interpolates the fields to a Cartesian, isotropic grid.  +=== plotting results ===
- +
-Currently, ''%%cubit%%'' is a bit clumsy to run. Here is how we do it:  +
- +
  
 +Let's make the three images seen above.
 +Again, assuming your ''tornadobox'' directory is in your path:
 <code> <code>
-$ cd ../boxout +$ cd ~/boxout 
-$ ~/boxprogram/cubit+$ hist2png.py  bf10.hist bF10.hist
 </code> </code>
  
- +Now let's plot the isosurfaces of the fields.
- +
-You need to enter some text at the query:  +
- +
- +
 <code> <code>
-[L out_aaaa]$ ~/boxprogram/cubit +$ ls b*.sav
-  enter 'case' ,num +
-'aaaa', 200000+
 </code> </code>
- +You should see you have a lot of ''.sav'' files. Now lets extract what we need into python pickle files. 
- +Such files are easily readable by our plotting programs. This may need about 20 minutes:
-Here is the tail end of what I see dumped to the monitor:  +
 <code> <code>
- interpolated grid size=  3.9062500E-03 +$ sav2pkl.py b*.sav
- minimum model grid size=  1.3805000E-02 +
- aaaad200000.sav  aaaaa200000.sav+
 </code> </code>
- +If your python does not have the ''pyvista'' module, you will need to install it. 
- +To make the times tidy and complete, let's rename a file:
-Note the fifth character in the original ''%%.sav%%'' file is ''%%d%%'', the altered (interpolated) ''%%.sav%%'' file has an ''%%a%%''. There is no particularly good reason for this designation.  +
- +
- +
 <code> <code>
-$ cd ~/boxprogram +$ mv bF10E015000.pkl bF10D015000.pkl 
-$ python sav2pkl.py ~/boxout/aaaaa200000.sav +$ pkl2png.py -s -hg -vg   bF10D01500
-$ python plotpkl.py ~/boxout/aaaaa200000.pkl +
-$ eog w20000.png +
 </code> </code>
 +Note that ''pkl2png.py'' will do the glob of ''bF10D01500*.pkl'', in this case finding one ''.pkl'' file.
 +The ''-s'' option should have shown the image do the screen, like the first one at the top of this page.
  
- +Next we zoom in to 25% of the camera distance, and plot at $t=30$:
-Here is what I see:  +
- +
-{{:w20000.png}}  +
- +
-==== 3d renderings with mayavi ==== +
- +
- +
- +
 <code> <code>
-python isovectpkl.py ~/boxout/aaaaa200000.pkl +$ pkl2png.py -s -hg -c .25 bF10D030000
 </code> </code>
- +And add a $w$ isosurface:
- +
-A GUI should pop open, showing the p=-1 and p=-.5 isosurfaces. Note the upper left icon allows some features of the rendering to be switched on or off. Dexerity and creativity with a two-button mouse is also essential to change the viewing of the rendering.  +
- +
-{{:mayavi200.png}}  +
- +
-==== doubling the resolution ==== +
- +
- +
-Note that it is possible to identify a time period of interest and restart the model from a ''%%.sav%%'' file, with more dump times specified within ''%%filetimes.txt%%''.  +
- +
-It is also possible to double the resolution before restarting.  +
- +
- +
 <code> <code>
-$ cd ~/boxout +$ pkl2png.py -s -hg -w -c .25 bF10D030000
-$ ../boxprogram/dubl181+
 </code> </code>
- +$ Now we go for it, and plot the frames for movie.  No ''-s'' option:
- +
-Here is what I did:  +
- +
- +
 <code> <code>
-[L out_aaaa]$ ../boxprogram/dubl181 +$ mkdir pngs 
-  enter 'case' ,num, 'newcase'  +$ pkl2png.py -hg -w -c .25 bF10D0 pngs
-'aaaa',200000,'bbbb'+
 </code> </code>
- +That required 10 minutes on my computer to produce 301 ''.png'' files.
- +
-This makes a new file ''%%bbbbE200000.sav%%''.. By the way, the ''%%E%%'' does not mean much anything special ... maybe //Extended//? In order to start from this file, you need to edit ''%%box.size%%'' to be  +
 <code> <code>
-c       PARAMETER(In=361,Jn=361,kn=181, +$ cd pngs 
-c       PARAMETER(In=91,Jn=91,kn=46, +$ eog bF10D015000.png
-        PARAMETER(In=181,Jn=181,kn=91, +
-     &            im=In-1,Jm=Jn-1,km=kn-1)+
 </code> </code>
- +The ''eog'' image viewer allows for the right arrow key to rapidly step through the images.
- +
-and then compile again  +
- +
- +
 <code> <code>
-$ ifort -o boxn181 boxn.f boxs.f+$ cd ~/boxout 
 +$ maketitle.py pngs/bF10D015000.png  
 +$ pip install moviepy 
 +$ png2mp4.py -t title.png pngs/bF10D 
 +$ mpv video.mp4
 </code> </code>
- +**FINISHED!**
- +
- +
-Proceed with your computations using ''%%boxn181%%''  +
- +
-==== left undone ==== +
- +
- +
-What isn't shown in this tutorial is how to make animations, such as seen here: http://mensch.org/suction/  +
- +
- +
-box (last edited 2014-06-17 10:24:43 by [[http://playground.metr.ou.edu/wiki/wiki.cgi/BrianFiedler|BrianFiedler]])+
  
  
  
  
tornadobox.1742240223.txt.gz · Last modified: 2025/03/17 14:37 by admin
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