2. dfLowMachFoam

2.1. One-Dimensional Planar Flame

Problem Description

The case simulates the steady-state 1D freely-propagating flame. The results are able to catch the flame thickness, laminar fame speed and the detailed 1D flame structure. This case demonstrate that the convection-diffusion-reaction algorithms implemented in our solver are stable and accurate.

Operating Conditions in Brief

Computational Domain length	0.06 m
Mixture	Hydrogen-Air
Equivalence Ratio	1.0
Inlet Gas Temperature	300 K

Output

Numerical setup of one-dimensional premixed flame and the detailed flame structure obtained by our solver

2.2. Two-Dimensional Jet Flame

Problem Description

This case simulates the evolution of a 2D non-premixed planar jet flame to validate the capability of our solver for multi-dimensional applications.

Operating Conditions in Brief

Computational Domain size (x)	0.03 m * 0.05 m
Jet Composition	H2/H2= 1/3 (fuel jet), Air (co-flow)
Initial Velocity	5 m/s (fuel jet), 1 m/s (co-flow)
Initial Gas Temperature	1400 K (ignition region), 300 K (other area)

Output

Simulation results of the two-dimensional jet flame.

The initial condition and the evolution of the jet flame are presented in this figure.

2.3. Three-Dimensional reactive Taylor-Green Vortex

3D reactive Taylor-Green Vortex (TGV) which is a newly established benchmark case for reacting flow DNS codes is simulated here to evaluate the computational performance of our solver.

Output

The initial and the developed TGV are displayed in the figures below.

Initial contours and profiles of vorticity magnitude, temperature, and species mass fraction for the reactive TGV

Contours and profiles of temperature and species mass fraction at t = 0.5 ms

Reference

A.Abdelsamie, G.Lartigue, C.E.Frouzakis, D.Thevenin The taylor-green vortex as a benchmark for high-fidelity combustion simulations using low-mach solvers, Computers & Fluids 223.