Systems and Methods for determining flame blow-off conditions are disclosed. These methods provide efficient and reliable tools for determining the lean blow-off conditions for a variety of combustion system. By utilizing localized characteristics within a flame-holding region a user is enabled to assess the likelihood of flame blow-off with fine granularity within a combustor. The flame blow-out determination may be carried out with the aid of an output representation that provides a contour of likely blow-off cells within a combustor region.