A multivariate quadrature based moment method for LES based modeling of supersonic combustion

作者：Donde Pratik^*; Koo Heeseok; Raman Venkat

来源：Journal of Computational Physics, 2012, 231(17): 5805-5821.

DOI：10.1016/j.jcp.2012.04.031

• Semi-discrete quadrature method of moments
• Direct quadrature method of moments
• Quadrature based methods
• Supersonic combustion
• Probability density function
• Large eddy simulation

The transported probability density PDF) approach is a powerful technique for large eddy simulation (LES) based modeling of scramjet combustors. In this approach, a high-dimensional transport equation for the joint composition-enthalpy PDF needs to be solved. Quadrature based approaches provide deterministic Eulerian methods for solving the joint-PDF transport equation. In this work, it is first demonstrated that the numerical errors associated with LES require special care in the development of PDF solution algorithms. The direct quadrature method of moments (DQMOM) is one quadrature-based approach developed for supersonic combustion modeling. This approach is shown to generate inconsistent evolution of the scalar moments. Further, gradient-based source terms that appear in the DQMOM transport equations are severely underpredicted in LES leading to artificial mixing of fuel and oxidizer. To overcome these numerical issues, a semi-discrete quadrature method of moments (SeQMOM) is formulated. The performance of the new technique is compared with the DQMOM approach in canonical flow configurations as well as a three-dimensional supersonic cavity stabilized flame configuration. The SeQMOM approach is shown to predict subfilter statistics accurately compared to the DQMOM approach.

• 出版日期2012-7-1