One-dimensional Flames

Cantera includes a set of models for representing steady-state, quasi-one-dimensional reacting flows.

These models can be used to simulate a number of common flames, such as:

• freely-propagating premixed laminar flames

• burner-stabilized premixed flames

• counterflow diffusion flames

• counterflow (strained) premixed flames

Additional capabilities include simulation of surface reactions, which can be used to represent processes such as combustion on a catalytic surface or chemical vapor deposition processes.

All of these configurations are simulated using a common set of governing equations within a 1D flow domain, with the differences between the models being represented by differences in the boundary conditions applied.

Governing Equations for One-dimensional Flow

This page describes the governing equations and the various boundary conditions that can be applied.

Discretization of 1D Equations

This page describes the finite difference schemes used to discretize the 1D governing equations and the criteria used for refining the grid.

Nonlinear Solver for One-dimensional Flows

This page describes the hybrid time-stepping–steady-state damped Newton solver that is used to solve the discretized governing equations.

Grid Refinement for One-dimensional Flows

This page describes the grid refinement strategy used to ensure that the solution is well-resolved.