Simulations for the thermodynamics of the 2+1 flavor QCD are performed employing chiral fermions. The use of Möbius domain-wall fermions with stout-link smearing is more effective on the finer lattices where
all the relevant chiral symmetries are realized more accurately.
We report on the initial simulations near the (pseudo) critical point using the line of constant physics with an average
$ud$ quark mass slightly heavier than physical at $a\lesssim 0.1$ fm.