Section: New Results

Software development and assessments

Analytical solutions for the incompressible Euler system

Participants : Anne-Céline Boulanger, Marie-Odile Bristeau, Jacques Sainte-Marie.

We have proposed in [5] a large set of analytical solutions (FRESH-ASSESS) for the hydrostatic incompressible Euler system in 2d and 3d. These solutions mainly concern free surface flows but partially free surface flows are also considered. These analytical solutions can be especially useful for the validation of numerical schemes.

Software

Several tasks have been achieved in the FreshKiss3D software (§  5.1 ):

• First tests with a uniform pression before moving to the variable case;

• Rethinking of the C++ code with an object-oriented rewriting which provides a better memory management;

• Automatic boundary conditions handling in the case of a fluid/solid transition;

• New computations of the particule trajectories when they leave out the domain by means of directional interpolation procedures;

• Achievement of the 2nd-order space accuracy;

• Taking into account the wind.