  We present fully nonlinear dissipative fluid dynamics simulations of a
trapped two-dimensional Fermi gas at unitarity using a Lattice Boltzmann
algorithm. We are able to simulate non-harmonic trapping potentials,
temperature-dependent viscosities as well as a discretized version of the
ballistic (non-interacting) behavior. Our approach lends itself to direct
comparison with experimental data, opening up the possibility of a precision
determination of transport coefficients in the unitary Fermi gas. Furthermore,
we predict the presence of a non-hydrodynamic component in the quadrupole mode,
which should be observable experimentally.
