A finite element analysis for wind behavior which is governed by incompressible Navier-Stokes equation, has some inefficiencies caused by much computational time and large storage space.
In this paper, a comparative study is performed to suggest the best efficient transient analysis algorithms for incompressible Navier-Stokes equation. First, the general finite element analysis techniques are summarized in views of formulation procedures, treatments of nonlinearity, and time stepping methods. Results of several combinations applied to one-dimensional convection-diffusion equation and Burger equation which are the same class of parabolic problem like incompressible Navier-Stokes equation, are represented and compared using some criteria such as accuracy, stability, and computational time. Through the results, some guidelines to select an algorithm for solving parabolic problems are proposed for diffusion dominant and convection dominant cases. Finally applicability of two-dimensional extension of the result is also discussed.
