High-order algorithms for compressible reacting flow with complex chemistry

Discontinuous Galerkin Method for Compressible Viscous Reacting Flow

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...

High-Order Semi-Implicit Schemes for Unsteady Compressible Flow Simulations

Direct numerical simulation of stability and transition of compressible boundary layers requires high-orderaccurate and computationally efŽ cient numerical methods to resolve a wide range of timeand length scales associated with wave Ž elds in the boundary layers. Explicit methods have been used mainly in such simulations to advance the compressible Navier–Stokes equations in time. However, the...

Numerical Simulation of Laminar Reacting Flows with Complex Chemistry

We present an adaptive algorithm for low Mach number reacting flows with complex chemistry. Our approach uses a form of the low Mach number equations that discretely conserves both mass and energy. The discretization methodology is based on a robust projection formulation that accommodates large density contrasts. The algorithm uses an operator-split treatment of stiff reaction terms and includ...

Multigrid Algorithms for Compressible Flow Calculations

On a steady flow of multicomponent, compressible, chemically reacting gas

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 .