Numerical simulations of axisymmetric inertial waves in a rotating sphere by finite elements

D'ELÍA, J.; NIGRO, N.; STORTI, M.

INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS

Taylor and Francis

Lugar: Gran Bretaña; Año: 2006 vol. 20 p. 673 - 685

1061-8562

Axisymmetric inertial waves of a viscous fluid that fill a  perturbed rotating spherical container are numerically simulated  by finite elements.  A laminar flow of an incompressible viscous fluid  of Newtonian type is assumed in the numerical simulations. A monolithic computational code is employed, which is  based on stabilized finite elements by means of a  Streamline Upwind Petrov Galerkin (SUPG) and  Pressure Stabilized Petrov Galerkin (PSPG) composed scheme. The Reynolds number is fixed as 50000, while the ranges of  the Rossby and Ekman numbers are 0.2 <= Ro <= 1 and  2 imes 10**(-5) <= Ek <= 10**(-4),  respectively. Some flow visualizations are performed. The pressure coefficientspectrum at the centre of the sphere is plotted as a function of  the frequency ratio and some resonant frequencies are identified.  The position of these resonant frequencies are in good agreement  with previous experimental and analytical ones in the inviscid  limit.