Abstract
Discrete regularization
Highlights
The total energyWe assume the pressure p is given by the gamma law equation of state p = (γ − 1)ρI (4)
In this paper we discuss discrete regularization, about how to add finite dissipation to the discretized Euler equations so as to ensure the stability and convergence of numerical solutions of high Reynolds number flows
Boris found that simulations based on his flux–corrected transport (FCT) algorithm could accurately predict turbulent flows with no need for an explicit subgrid scale model; that is, the dissipation that results from numerically enforcing monotonicity constraints accurately estimates the dissipation of the smallest unresolved eddies due to physical viscosity
Summary
We assume the pressure p is given by the gamma law equation of state p = (γ − 1)ρI (4). Where γ is the (assumed constant) ratio of specific heats. We note the specific thermodynamic (equilibrium) entropy. Where cv is the specific heat at constant volume. S0 is a reference entropy as the entropy is only defined within an additive constant.
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