A novel computational methodology, termed “Irregularly Portioned Lagrangian Monte Carlo-Finite Difference” (IPLMCFD) is developed for large eddy simulation (LES) of turbulent flows. This methodology is intended for use in the filtered density function (FDF) formulation and is particularly suitable for simulation of chemically reacting flows on massively parallel platforms. The IPLMCFD facilitat...

We consider the Cauchy problem for the system of equations governing flow of isothermal reactive mixture of compressible gases. Our main contribution is to prove sequential stability of weak solutions when the state equation essentially depends on the species concentration and the viscosity coefficients vanish on vacuum. Moreover, under additional assumption on the ”cold” component of the press...

In the present study, a discontinuous Galerkin (DG) framework is developed to simulate chemically reacting flows. The algorithm combines a double-flux method to account for variable thermodynamic properties, a Strang-splitting scheme for the stiff reaction chemistry, a robust WENO-based shock limiter, and the non-linear viscous-diffusive transport is discretized using the BR2 method. The algori...

The development of reduced-order combustion models able to accurately reproduce the physics reactive systems has been a highly challenging aspect numerical research in recent past. complexity problem can be reduced by identifying and using low-dimensional manifolds account for turbulence-chemistry interactions. Recently, Principal Components Analysis (PCA) shown its potential reducing dimension...

Adaptive numerical methods offer greater efficiency than traditional numerical methods by concentrating computational effort in regions of the problem domain where the solution is difficult to obtain. In this paper, we describe progress toward adding mesh refinement to MPSalsa, a computer program developed at Sandia National Laboratories to solve coupled three-dimensional fluid flow and detaile...

Abstract: We consider the system of equations governing a steady flow of polyatomic isothermal reactive gas mixture. The model covers situation when the pressure depends on species concentration and when the diffusion coefficients for each of the species are density-dependent. It is shown that this problem admits weak solution provided the adiabatic exponent for the mixture γ is grater then 7 3 .