On the solution of the advection equation and advective dominated reactor models by weighted residual methods

The least-squares method is not necessarily the better choice for advection dominated problems as a number of different problems favor the orthogonal collocation and/or tau methods. However, for the advective terms of some problems the least-squares method can be used to stabilize the Galerkin discretization. The choice of the better approximation method for an advection dominated problem is case dependent.