Akademik Veri Yönetim Sistemi
Springer, London/Berlin , Bergen, 2019
Flow past a circular cylinder embodies many interesting features of
fluid dynamics as a challenging fluid phenomenon. In this preliminary
study, flow past a cylinder is simulated numerically using a Galerkin
procedure based on solenoidal bases. The advantages of using solenoidal
bases are twofold: first, the incompressibility condition is exactly
satisfied due to the expansion of the flow field in terms of the
solenoidal bases and second, the pressure term is eliminated in the
process of Galerkin projection onto solenoidal dual bases. The
formulation is carried out using a mapped nodal Fourier expansion in the
angular variable while a modal polynomial expansion is used in the
radial variable. A variational approach to recover the pressure variable
is also presented. Some numerical tests are performed.