EOS_Hybrid

Harry Dimmelmeier, Ian Hawke, Christian Ott

Date

Abstract

EOS_Hybrid. The equation of state used for β€œsimple” core collapse simulations.

1 The equations

This equation provides the hybrid polytropic / ideal gas equation of state used by Dimmelmeier et al.Β [1] for supernova collapse. A thorn wanting to use this needs to use the CactusEOS interface found in EOS_Base.

The equations are

P = Ppoly + Pth (1) P ρ = Ppoly ρ + Pth 1 ρ + Pth 2 ρ (2) P πœ– = (γth 1)ρ, (3)

where

Ppoly = Kργ (4) Pth = Kγth 1 γ 1 ργ + (γ th 1)ρπœ– (γth 1)γ γ1 γ2 1Kρnucγ11ρ (5) Ppoly ρ = γKργ1 (6) Pth 1 ρ = γKγth 1 γ 1 ργ1 (7) Pth 2 ρ = (γ 1)πœ– (γth 1) γ γ1 (γ1 1)(γ2 1)Kρnuc(γ1 1). (8)