Setting initial conditions
Initial conditions are imposed after model construction. This can be easily done using the the set!
function, which allows the setting of initial conditions using constant values, arrays, or functions.
julia> grid = RegularCartesianGrid(size=(16, 16, 16), extent=(1, 1, 1));
julia> model = IncompressibleModel(grid=grid);
julia> set!(model, u=0.1, v=1.5)
julia> grid = RegularCartesianGrid(size=(16, 16, 16), extent=(1, 1, 1));
julia> model = IncompressibleModel(grid=grid);
julia> ∂T∂z = 0.01;
julia> ϵ(σ) = σ * randn();
julia> T₀(x, y, z) = ∂T∂z * z + ϵ(1e-8);
julia> set!(model, T=T₀)
Note that as part of the time-stepping algorithm, the velocity field is made divergence-free at every time step. So if a model is not initialized with a divergence-free velocity field, it may change on the first time step. As a result tracers may not be conserved up to machine precision at the first time step.