Application of Finsler metric in mathematical modeling the wildfire propagation

• Grant number: 22/15371-3
• Support Opportunities: Regular Research Grants
• Start date: April 01, 2023
• End date: March 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Hengameh Raeisidehkordi
• Grantee: Hengameh Raeisidehkordi
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil

Abstract

In recent years, wildfires have become more severe, and hence more complex math is needed to study their behavior. Providing reliable and precise wildfire propagation models is necessary for risk management. Awareness of how the fire will progress would potentially improve the firefighting strategies and significantly reduce the negative effects of the fire. Therefore, modeling fire propagation has become a very attractive problem in recent decades. In this project, we aim to study the fire's behavior and predict and model its propagation in agricultural lands, forests, hills, or inclined lands. We use the techniques of Finsler geometry to address problems with different conditions. We consider different cases for fuel, wind, humidity, and temperature. This way, we could simulate several cases closer to real-world problems.The project also aims to investigate the other methods available in the literature and combine some of them with Finsler geometry approaches to obtain a more optimized and accurate method for fire propagation modeling. We present novel algorithms which take the information on the propagation and present the propagation model. The proposed approaches are implemented in high-level programming languages to compare our proposed solutions with the available methods in the literature (AU)