Self-similar solutions of the G-equation - analytic description of the flame surface

TL;DR

This paper explores self-similar solutions to the G-equation, providing an analytical approach to understanding flame surface dynamics in combustion modeling.

Contribution

It introduces a method for deriving self-similar solutions of the G-equation, enhancing analytical understanding of flame surface behavior.

Findings

Derivation of self-similar solutions for the G-equation

Discussion of solution properties and implications

Brief overview of the solution method

Abstract

The main feature of the flame kinematics can be desribed with the G-equation. We investigate the solutions of the G-equation with the well-known self-similar Ansatz. The results are discussed and the method how to get self-similar solutions is briefly mentioned.