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

../_images/1D_planar_flame.png

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/N2= 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

../_images/2D_triple_flame.png

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.

The initial fields are set according to a benchmark case established by Abdelsamie et al. The figure below shows contours of vorticity magnitude and temperature as well as the x-direction profiles of species at initial time.

../_images/3D_TGV_initial.png

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

Output

The developed TGV are displayed in the figures below.

../_images/3D_TGV_0.5ms.png

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 (2021): 104935.