We study the anomalous Nernst and thermal Hall effects in a linearized
low-energy model of a tilted Weyl semimetal, with two Weyl nodes separated in
momentum space. For inversion symmetric tilt, we give analytic expressions in
two opposite limits: for a small tilt, corresponding to a type-I Weyl
semimetal, the Nernst conductivity is finite and independent of the Fermi
level, while for a large tilt, corresponding to a type-II Weyl semimetal, it
acquires a contribution depending logarithmically on the Fermi energy. This
result is in a sharp contrast to the nontilted case, where the Nernst response
is known to be zero in the linear model. The thermal Hall conductivity
similarly acquires Fermi surface contributions, which add to the Fermi level
independent, zero tilt result, and is suppressed as one over the tilt parameter
at half filling in the Type-II phase. In the case of inversion breaking tilt,
with the tilting vector of equal modulus in the two Weyl cones, all Fermi
surface contributions to both anomalous responses cancel out, resulting in zero
Nernst conductivity. We discuss two possible experimental setups, representing
open and closed thermoelectric circuits
