0.113                                               3.607                                          7.53                                       2.83                       
                       $10^{-5}$                                        5                      $256^3$                                                                                                                                 0.114                                               3.635                                          6.71                                       2.06                       
                       $10^{-4}$                                        5                      $128^3$                         1.222                                               3.507                                               0.799                                               3.607                                          34.6                                       4.33                       
                       $10^{-4}$                                        5                      $256^3$                                                                                                                                 0.805                                               3.381                                          34.1                                       3.56                       
                       $10^{-5}$                                        4                      $128^3$                         0.075                                               2.661                                               0.070                                               2.615                                          6.66                                       1.72                       
                       $10^{-5}$                                        4                      $256^3$                                                                                                                                 0.073                                               2.632                                          3.34                                       1.09                       
                       $10^{-4}$                                        4                      $128^3$                         0.750                                               2.555                                               0.523                                               2.497                                          30.2                                       2.25                       
                       $10^{-4}$                                        4                      $256^3$                                                                                                                                 0.529                                               2.512                                          29.5                                       1.68                       
  --------------------------------------------------- -------------------------------------- ------------ ------------------------------------------------ ------------------------------------------------------ ------------------------------------------------ ------------------------------------------------------ ------------------------------------ ------------------------------------------------ --

  : Comparison between decay rates and nonlinear frequencies from simulations and from low-viscosity theory of -.[]{data-label="tab:Lamb"}

We also validated our numerical code by testing the free decay of a perturbed sphere in the unforced case (i.e. $a=0$, no imposed oscillatory forcing) under the influence of surface tension. In the absence of viscosity, [@Rayl1879] showed that a drop initialized with a perturbation of spherical wavenumber $\ell$ oscillates with frequency $\omega$ where $$\omega^2=\frac{\sigma}{\rho}\frac{\ell(\ell-1)(\ell+2)}{R^3}
\label{eq:Rayleigh}$$ For small kinematic viscosity $\nu_d$, [@Lamb1932] showed that the oscillation amplitude decays to the spherical rest state according to $$\zeta_\ell(t) \propto e^{-\lambda t } | \cos(\omega^\prime t) |
\label{eq:Lambform}$$ where the decay rate and the oscillation frequency are given by $$\lambda = \frac{\nu_d (\ell-1)(2\ell+1)}{R^2} \hspace*{3cm}
\omega^\prime = \left( \omega^2 - \lambda^2 \right)^{1/2}.
\label{eq:Lamb}$$ Figure \[fig:decL5a3\] shows the evolution of 