  The progenitor system(s) and the explosion mechanism(s) of Type Ia supernovae
(SNe Ia) are still under debate. Non-electromagnetic observables, in particular
gravitational waves and neutrino emission, of thermonuclear supernovae are a
complementary window to light curves and spectra for studying these enigmatic
objects. A leading model for SNe Ia is the thermonuclear incineration of a
near-Chandrasekhar mass carbon-oxygen white dwarf star in a
"delayed-detonation". We calculate a three-dimensional hydrodynamic explosion
for the N100 delayed-detonation model extensively discussed in the literature,
taking the dynamical effects of neutrino emission from all important
contributing source terms into account. Although neutrinos carry away $2 \times
10^{49}$ erg of energy, we confirm the common view that neutrino energy losses
are dynamically not very important, resulting in only a modest reduction of the
final kinetic energy by two per cent. We then calculate the gravitational wave
signal from the time evolution of the quadrupole moment. Our model radiates $7
\times 10^{39}$ erg in gravitational waves and the spectrum has a pronounced
peak around 0.4 Hz. Depending on viewing angle and polarization, we find that
the future space-based gravitational wave missions DECIGO and BBO would be able
to detect our source to a distance of 1.3 Mpc. We predict a clear signature of
the deflagration-to-detonation transition in the neutrino and the gravitational
wave signals. If observed, such a feature would be a strong indicator of the
realization of delayed-detonations in near-Chandrasekhar mass white dwarfs.
