INTEC   05402
INSTITUTO DE DESARROLLO TECNOLOGICO PARA LA INDUSTRIA QUIMICA
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
A BOUNDARY ELEMENT METHOD FOR OSCILLATING STOKES FLOW AT LOW FREQUENCIES AROUND A RIGID BODY
Autor/es:
D'ELÍA, JORGE; BATTAGLIA, LAURA; SARRAF, SOFÍA SOLEDAD; CARDONA, ALBERTO
Lugar:
Buenos Aires, Argentina
Reunión:
Congreso; MECOM - CILAMCE 2010; 2010
Institución organizadora:
AMCA
Resumen:
The unsteady creeping flow around a rigid three dimensional body at rest in an incompressible
and viscous fluid of Newtonian type is considered. The flow problem is modeled using an indirect
boundary integral equation (IBIE), and is numerically solved by using collocation and Galerkin weighting
procedures. An IBIE was presented in a previous work for the steady creeping flow case (DEl´ıa
et al., Mec´anica Computacional, vol. XXVIII:1453-1462, 2009), whereas in the present work the attention
is focused to the oscillatory creeping flow with an harmonic time dependence. The formulation
is specialized to low frequencies and boundary meshes with flat simplex triangles. The double surface
integrals in the Galerkin approach that account the pairwise interaction among all boundary elements are
computed on using a variation of the scheme proposed by Taylor (D. J. Taylor, IEEE Trans. on Antennas
and Propagation, 51(7): 1630-1637, 2003). Numerical examples include the unsteady creeping flow
with an harmonic time dependence around the sphere of unit radius and around the cube of unit edge
length, both at rest, covering issues on the convergence under mesh refinement and, in the first test case,
a comparison against the analytical values as a function of the imposed vibrating frequency.