The adjoint weighted equation for steady advection in a compressible fluid

摘要

An alternative variational framework suitable for pure advection is obtained by discarding the Galerkin part of stabilized methods. The resulting scheme is similar to the least-squares approach, but with the adjoint operator in the weighting slot. This formulation is not restricted to solenoidal (i.e. divergence free) velocities. Initial numerical results for such problems show that the method is promising.