Applied Mathematics for Environmental Problems

1. Front Matter

   Pages i-ix

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2. PhyFire: An Online GIS-Integrated Wildfire Spread Simulation Tool Based on a Semiphysical Model

   • M. I. Asensio, L. Ferragut, D. Álvarez, P. Laiz, J. M. Cascón, D. Prieto et al.

   Pages 1-20

3. Physical Parametrisation of Fire-Spotting for Operational Wildfire Simulators

   • Vera N. Egorova, Andrea Trucchia, Gianni Pagnini

   Pages 21-38

4. Wind Shear Forecast in GCLP and GCTS Airports

   • David Suárez-Molina, Juan Carlos Suárez González

   Pages 39-52

5. One-Phase and Two-Phase Flow Simulation Using High-Order HDG and High-Order Diagonally Implicit Time Integration Schemes

   • Albert Costa-Solé, Eloi Ruiz-Gironés, Josep Sarrate

   Pages 53-84

This book contains some contributions presented at the Applied Mathematics for Environmental Problems minisymposium during the International Congress on Industrial and Applied Mathematics (ICIAM) held July 15-19, 2019 in Valencia, Spain. The first paper addresses a simplified physical wildfire spread model, based on partial differential equations solved with finite element methods and integrated into a GIS to provide a useful and efficient tool. The second paper focuses on one of the causes of the unpredictable behavior of wildfire, fire-spotting, through a statistical approach. The third paper addresses low -level wind shear which represents one of the most relevant hazards during aircraft takeoff and landing. It presents an experimental wind shear alert system that is based on predicting wind velocities obtained from the Harmonie-Arome model. The last paper addresses the environmental impact of oil reservoirs. It presents high-order hybridizable discontinuous Galerkin formulation combined with high-order diagonally implicit Runge-Kutta schemes to solve one-phase and two-phase flow problems through porous media. All the contributions collected in this volume are interesting examples of how mathematics and numerical modelling are effective tools in the field of environmental problems.

• Wildfire simulation
• Fire-spotting simulation
• Porous media
• Wind shear forecast
• Discontinuous Galerkin formulation

• Department of Applied Mathematics, University of Salamanca, Salamanca, Spain

  María Isabel Asensio

• University Institute SIANI, University of Las Palmas de Gran Canaria, Las Palmas de Gran Canaria, Spain

  Albert Oliver

• Department of Civil and Environmental Engineering, Universitat Politecnica de Catalunya, Barcelona, Spain

  José Sarrate

María Isabel Asensio received her PhD in Mathematics from the University of Salamanca, where she is Associate Professor in the Department of Applied Mathematics and Principal Investigator of the Numerical Simulations and Scientific Computation Research Group. Her main research interests concern mathematical modelling of environmental problems with emphasis on forest fire spread modelling. She has coauthored many articles in international journals and refereeing contributions in international congresses.

José Sarrate got his PhD in Applied Sciences from the Universitat Politècnica de Catalunya where he is Associate Professor at the Department of Civil and Environmental Engineering in Barcelona. His research interest is the numerical modeling of problems governed by partial differential equations in applied sciences and engineering. He has worked in more than twenty research project founded by public and private institutions that lead to several contributions in indexed journals and international conferences.

Albert Oliver received his PhD from the Universitat Politècnica de Catalunya and is currently an assistant professor at the University of Las Palmas de Gran Canaria. His research interest is the application of the finite element method in environmental problems, and particularly in the simulation of air quality and wind fields at the microscale level; he also works on the generation of tetrahedral adapted meshes for these problems.

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