TURBULENT CHEMICAL NON-EQUILIBRIUM REENTRY FLOWS IN 2D – FIVE SPECIES
EDISSON SÁVIO DE GÓES MACIEL *
Instituto Tecnológico de Aeronáutica (ITA) – Rua Santa Clara, 245 – Caixa Postal: 2029 – 12.243-970 – São José dos Campos – SP, Brazil
CLÁUDIA REGINA DE ANDRADE
Instituto Tecnológico de Aeronáutica (ITA) – Praça Mal. do Ar Eduardo Gomes, 50 – 12.228-900 – São José dos Campos – SP, Brazil
*Author to whom correspondence should be addressed.
Abstract
This work focuses on the Favre-averaged Navier-Stokes equations, employing a structured spatial discretization, with a conservative and finite volume approaches. Turbulence is taken into account considering the implementation of five k-w two-equation turbulence models, based on the works of Coakley 1983; Wilcox; Yoder, Georgiadids and Orkwis; Coakley 1997; and Rumsey, Gatski, Ying and Bertelrud. The numerical experiments are performed using the Van Leer numerical algorithm. TVD high resolution is obtained by the use of a MUSCL procedure. Moreover, two time marching methods were implemented, namely: Heun and Runge-Kutta 4th. Chemical non-equilibrium is studied using a five species chemical model. The results have indicated that the Coakley 1983 turbulence model yields the best prediction of the stagnation pressure value and is the most computationally efficient when coupled with Runge-Kutta 4th method. Moreover, the lift coefficient is better predicted by the Coakley 1983 turbulence model. Errors less than 1.00% were found.
Keywords: k-ω two equation models, reentry flows, Favre-averaged Navier-stokes equations, chemical non-equilibrium, five species chemical model, Van Leer scheme