A residual-potential boundary for time-dependent, infinite-domain problems in computational acoustics.
A theoretically exact computational boundary is introduced, that is based on modal residual potentials for the spherical geometry. The boundary produces a set of first-order, uncoupled ordinary differential equations for nodal boundary responses, and a set of uncoupled time-stepping equations for modal boundary responses. The two sets are coupled through nodal-modal transformation based on the orthogonal surface functions for the spherical boundary. Numerical results generated with the boundary are presented for a step-wave-excited, elastic, spherical shell submerged in an infinite acoustic medium. Extension of the method to other separable geometries for partial differential equations defined in unbounded domains is mentioned.
Department of Mechanical Engineering, University of Colorado, Boulder, Colorado 80309-0427, USA.
Thomas L
TL
Geers
Michael A
MA
Sprague