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HORSES3D is a multiphysics environment where the compressible Navier-Stokes equations, the incompressible Navier–Stokes equations, the Cahn–Hilliard equation and entropy–stable variants are solved. Arbitrary high–order, p–anisotropic discretisations are used, including static and dynamic p–adaptation methods (feature-based and truncation error-based). Explicit and implicit time-steppers for steady and time-marching solutions are available, including efficient multigrid and preconditioners. Numerical and analytical Jacobian computations with a coloring algorithm have been implemented. Multiphase flows are solved using a diffuse interface model: Navier–Stokes/Cahn–Hilliard. Turbulent models implemented include RANS: Spalart-Allmaras and LES: Smagorinsky, Wale, Vreman; including wall models. Immersed boundary methods can be used, to avoid creating body fitted meshes. Acoustic propagation can be computed using Ffowcs-Williams and Hawkings models.

HORSES3D supports curvilinear, hexahedral, conforming meshes in GMSH, HDF5 and SpecMesh/HOHQMesh format. A hybrid CPU-based parallelisation strategy (shared and distributed memory) with OpenMP and MPI is followed.

The following external routines/libraries can be used with HORSES3D, but are not necessary: METIS, MPI, HDF5, MKL, PETSc.

HORSES3D is an object-oriented Fortran 2008 solver, that can be compiled using gcc and the Intel compiler, in Unix-based operating systems.

• We recommend using recent versions of such compilers (2019 or newer).

• Make is necessary (e.g., Gnu's version, which is included in most linux distributions).

• Supported meshes are in GMSH, HDF5 (HOPR) and SpecMesh/HOHQMesh format.

• Post processing can be performed in tecplot or paraview.

1. Go to the Solver folder and configure the project

   cd Solver
   ./configure

2. Build the solvers using make (see manual in the /doc folder)

   make clean
   make all [options]

   with the desired options (defaults are bold):

   • PLATFORM=MACOSX/LINUX

   • MODE=DEBUG/RELEASE

   • COMPILER=ifort/gfortran

   • COMM=PARALLEL/SEQUENTIAL

   • ENABLE THREADS=NO/YES

   • WITH MKL=y/n

   For example:

   make all COMPILER=ifort COMM=PARALLEL

3. Run the solver for the parameter file file.control (see manual in the /doc folder and examples in /test)

   ./horses3d.ns file.control

4. Test cases for various physics are provided in the folder /test

• HDF5:

  export HDF5_ROOT=path_to_hdf5
  export HDF5_DIR=$HDF5_ROOT

• PETSc:

  export PETSC_DIR=path_to_petsc

• METIS:

  export METIS_HOME=path_to_metis