fosite  0.6.0
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fosite - 2D hydrodynamical simulation program


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Fosite is a 2D hydrodynamical simulation code written in FORTRAN 90/95. It is based on a numerical scheme for the solution of nonlinear hyperbolic conservation laws first introduced by Kurganov and Tadmor (Refs.: J. of Comp. Phys., vol. 160, pp. 241, 2000; Num. Meth. for PDEs, vol. 18, pp. 561, 2002). This method has been extended from Cartesian to general orthogonal grids (Ref.: T. Illenseer, PhD Thesis (German), University of Heidelberg, 2006; Illenseer and Duschl, arXiv:0804.2979 [physics.comp-ph], 2008). This version is a reimplementation of the adv2D program available at

T. Illenseer (2006): High resolution schemes for the numerical computation of radiation driven disk winds

I wrote for my PhD thesis. It utilizes the object-oriented (OO) design patterns described by Decyk and Gardner (Ref.: Comput. Phys. Comm., vol. 178(8), pp. 611). Hence fosite incorporates the flexibility of OO-programming into Fortran 90/95 and preserves efficiency of the numerical computation.

Although the core program is capable of dealing with almost any 2D advection problems the code shipped with this README solves only hydrodynamical problems with and without viscosity. So far the physics module can deal with 2D problems and 2.5D problems with angular momentum transport. The ideal gas equation of state with constant ratio of specific heat capacities is implemented for both 2D and 2.5D simulations. Various curvilinear grids are supported including polar, cylindrical and spherical geometries.

There are two simple file formats for output data files. It could be either plain ASCII with the results for each variable given in columns with a block structure or simple binary data (see section 6. of this README). GNUPLOT ( is capable of reading both formats (for binary input you need at least version 4.2). Native OpenDX output has been removed in favor of netcdf, because OpenDX is capable of reading data files written with the netcdf output module of fosite. Since version 0.3 of fosite the VTK file format is supported (see Parallel output is possible with all file formats . We strongly recommend the use of one of the binary formats for best performance. All output formats except VTK make use of MPI-IO routines in parallel mode. Since MPI-IO on NFS file systems is pretty slow one should avoid these and use PVFS (see instead.


Although all source files have the extension .f90 the code uses some FORTRAN 95 extensions and therefore only compiles with a Fortran 95 compiler. To customize the build process enter the directory with the source code and run


For a list of command line arguments of the configure script type

./configure --help

The configure-script should find and set the variables FC, FCFLAGS and LDFLAGS. FC should point to your Fortran 95 compiler and FCFLAGS should contain some appropriate command line arguments for the compile command. These variables can be manually set by typing

./configure FC=[your compiler]

[your compiler] can be sxf90, ifort, g95, mpif90, gfortran, etc. Then type


at the command line to build the fosite library and all example simulations in the examples subdirectory. These are just executable programs linked against the fosite library. The default behaviour of the build process is to compile all examples. To run a simulation you simply have to enter the name of the binary executable


at the command line. The simulation data is written to a file in the current working directory by default.

The code has been verified to compile with the Intel(R) Fortran Compiler (vers. 8.x, 9.x, 11.x), GNU fortran compiler (vers. 4.7, 4.8), g95 (vers. 4.0.3) on various Linux boxes and NEC sxf90 (Rev.360 2006/11/30 and Rev.410 2010/02/01) cross compiler for NEC SX-8/SX-9 vector supercomputers. If the program aborts immediately after initialization with a segmentation fault, try to increase the stack size (ulimit -s unlimited).


The parallel version of fosite uses the message passing interface version 2 (MPI2). To compile the parallelized code you have to install an implementation of MPI2, e.g. mpich2 ( and run

./configure --with-mpi

If the MPI2 libraries have been installed into a non-standard directory you may specify it as an additional parameter:

./configure --with-mpi=[MPI_DIR]

where [MPI_DIR] is the MPI2 installation directory. For parallel I/O in a network environment it is strongly recommended to use a parallel file system like PVFS2 ( with binary output for best performance. In this case it might be necessary to tell the configure script the pvfs2 installation directory

./configure --with-mpi=[MPI_DIR] --with-pvfs2=[PVFS2_DIR]

If the configure script fails maybe the easiest way to proceed is to specify the MPI Fortran compiler command

FC=mpif90 ./configure --with-mpi

If there is still something going wrong check the error messages in the file "config.log" generated by the configure script in the same directory. To compile the parallel version of Fosite type

make parallel

Sometimes it's usefull to prevent gfortran from buffering all output to the terminal. Otherwise you will probably get the programs informative output normally written to standard output (i.e. the terminal) after the last MPI process has finished its job. To force fosite to write all runtime information directly to standard output set the appropriate environment variable


(bash) or


(csh). Remember, this is only necessary if you are using the GNU fortran compiler gfortran.

The parallel code of Fosite has been verified to compile with the MPI2 implementations of the MPI2 standard mpich2 (version 1.0.6, 1.0.8, 1.2.1p1) and openmpi (version 1.2.8 & 1.4.2). Others may work too. Since version 0.3.2 fosite supports the Fortran 90 module interface for MPI. Thus configure searches for the module file mpi.mod. If the module file could not be found or isn't working for some reason, configure looks for the old mpif.h interface. If fosite does't compile with the module interface you can disable this feature:

./configure --with-mpi --disable-mpi-module

This is probably necessary if you are using mpich2.


Maybe the best way to learn how to customize the code is to take a look at the init files in the examples subdirectory. The initialization module contains at least 2 subroutines which can be modified by the user.

For a short description of some control variables take a look at the example files. If you want to create your own simulation just copy one of the examples to a new file, say init_mysim.f90, modify anything you like and compile it as described above.


Because of the modular structure of the code it is possible to introduce completely new physics with comparatively little effort. Take a look at these subdirectories to add new features:

According to the OO-design patterns there is a generic module (e.g. geometry_generic) for almost any task. These modules can be considered as an interface between the basic modules (e.g. geometry_cartesian, geometry_polar, etc.) and the program. The data structures related to these modules can be found in the subdirectory "common". To add a new feature follow these four steps:

  1. Create a new basic module in the particular subdirectory (e.g. geometry_mygeo.f90 in ./mesh) using the existing modules as a template.
  2. Edit the generic module and add a USE instruction with your new module to the header.Then define a new flag as an integer constant (e.g. INTEGER, PARAMETER :: MYGEO = 100) and customize the generic subroutines and functions. There are SELECT .. CASE branch instructions in which the specific routines are called.
  3. Modify your initilization file init.f90 to use the new feature (e.g. CALL InitMesh(Mesh,Fluxes,MYGEO,..)).
  4. Rebuild the whole program by doing "make clean" first and then enter "make".


Plain ASCII output

The data is written in columns with the coordinates in the first (1D) and second (2D) column followed by the data, i.e. density velocities, etc. depending on the physics module. One line represents one data point. If you carry out 2D simulations the data is sub-devided into blocks with constant x-coordinate. You can write all time steps into one data file setting filecycles=0 when calling the InitFileIO subroutine or each time step into its own file (count=[number of data sets], filecycles=[number of data sets + 1]). In the former case the data blocks associated with one time step are separated from the next data set by an additional line feed (two empty lines instead of one).

You can plot Z against X (and Y) of the ASCII data with gnuplot using the (s)plot command in a way similar to

(s)plot "datafile.dat" index TIMESTEP with 1:2(:3)

in case of multiple time steps per data file. TIMESTEP has to be an integer value.

Simple binary output

Specification: header - data - bflux - timestamp - data - bflus - timestamp - ....


You can plot Z against X (and Y) with gnuplot using the binary format specifier of the (s)plot command:

(s)plot "FILENAME" binary \
   skip=sizeof(HEADER+4)+timestep*sizeof(DATA+BFLUX+TIMESTAMP) \
   record=INUMxJNUM format="FORMATSTRING" using X(:Y):Z

where FORMATSTRING is f*(2+VNUM) or lf*(2+VNUM) for double precision data. For example if you want to plot the 23rd timestep of the above mentioned data file type:

 iter = 23
 splot "datafile.bin" binary skip=132 + iter * (3920008+168+16) \
    record=200x350 format="%lf%lf%lf%lf%lf%lf%lf" u 1:2:3

REMARK: gnuplot version 4.4x has a new syntax for specifying the record dimensions: You should type "record=(INUM,JNUM)" instead of "record=INUMxJNUM".

Output with VTK on NEC SX8/SX9

VTK needs a C-conformable output without the Fortran specific leading and trailing bytes with size information for each data record. Thus the compiler has to support Fortran streams as described in the Fortran 2003 standard. In case of the NEC SX8/SX9 computers this is not the case, but it is possible to disable the output of these additional bytes for each output unit designated for VTK by setting an runtime environment variable:


In addition one has to specify a distinct unit number for these output modules in the initialization file init.f90

CALL InitFileIO(..., unit = UNITNUMBER,...)

in your init.f90 file. UNITNUMBER must be an integer. Ensure, that this unit number is unique. (save way: UNITNUMBER > 1000)

NetCDF output

NetCDF I/O is disabled by default. If you want fosite to compile the NetCDF I/O modules, you can enable NetCDF by typing

./configure --with-netcdf

If your NetCDF installation is in a non-standard directory, you can give the configure script a hint where to find it:

./configure --with-netcdf=[NETCDFDIR]

where NETCDFDIR is the root directory of your NetCDF installation. The configure script looks for NetCDF libraries in $NETCDFDIR/lib. A working Fortran 90 module file is required and should be in $NETCDFDIR/include or in a standard directory like /usr/include. The parallel version of fosite can do parallel I/O if NetCDF has been compiled with parallel I/O support. Check if your NetCDF installation is linked against the HDF5 library which is necessary for parallel NetCDF I/O. To enable this feature in fosite, you need to configure both MPI and HDF5 support:

./configure --with-mpi --with-hdf5

You may also give configure a hint where find your MPI and HDF5 installation (see Sec. 3).

The code is distributed under the GNU General Public License - see the accompanying LICENSE file for more details. So feel free to experiment with this.

Copyright (C) 2006-2014 Tobias Illenseer Manuel Jung