21 research outputs found
Mathematics for environmental problems: from modelling to applications
[EN]In this paper we summarize some aspects of the simplified physical wild fire spread model developed by the authors and of the Geographical Information System tool specially developed to provide a real usable wild fire spread tool based on this model.Conserjer铆a de Educaci贸n de la Junta de Castilla y Le贸n; FEDER;
Fundaci贸n General de la Universidad de Salamanc
Space-Time adaptive algorithm for the mixed parabolic problem
Se presenta una estimaci贸n a posteriori del error para el problema parab贸lico lineal, y se dise帽a el correspondiente algoritmo de adaptaci贸n de malla y paso de tiempo. Para la discretizaci贸n espacial se utiliza el elemento de Raviart-Thomas de menor orden y para la integraci贸n temporal la aproximaci贸n de Galerkin discontinua con paso variable. Se aplican los m茅todos num茅ricos desarrollados a varios problemas significativos que muestran la eficiencia del algoritmo desarrollado.In this paper we present an a-posteriori error estimator for the mixed formulation of a linear parabolic problem, used for designing an efficient adaptive algorithm. Our space-time discretization consists of lowest order Raviart-Thomas finite element over graded meshes and discontinuous Galerkin method with variable time step. Finally, several examples show that the proposed method is efficient and reliable
Space-Time adaptive algorithmfor the mixed parabolic problem
Se presenta una estimaci贸n a posteriori del error para el problema parab贸lico lineal, y se dise帽a el correspondiente algoritmo de adaptaci贸n de malla y paso de tiempo. Para la discretizaci贸n espacial se utiliza el elemento de Raviart-Thomas de menor orden y para la integraci贸n temporal la aproximaci贸n de Galerkin discontinua con paso variable. Se aplican los m茅todos num茅ricos desarrollados a variosproblemas significativos que muestran la eficiencia del algoritmodesarrollado.In this paper we present an a-posteriori error estimator for the mixed formulation of a linear parabolic problem, used for designing an efficient adaptive algorithm. Our space-time discretization consists of lowest order Raviart-Thomas finite element over graded meshes and discontinuous Galerkin method with variable time step. Finally, several examples show that the proposed method is efficient and reliable
A downscale wind forecasting method based on WRF-HDMW coupling
[EN]In this paper, we propose a wind prediction strategy based on a mesoscale-microscale coupling
technique. We will use the Weather Research and Forecast (WRF) [3] prediction as input data
for the High Wind Defintion Model (HWDM) [2] to yield the forecast on a wind farm.Junta de Castilla y le贸n; Fondos FEDE
A GIS-based fire spread simulator integrating a simplified physical wildland fire model and a wind field model
[EN]This article discusses the integration of two models, namely, the Physical Forest Fire Spread (PhFFS) and the High Definition Wind Model (HDWM), into a Geographical Information System-based interface. The resulting tool automates data acquisition, preprocesses spatial data, launches the aforementioned models and displays the corresponding results in a unique environment. Our implementation uses the Python language and Esri鈥檚 ArcPy library to extend the functionality of ArcMap 10.4. The PhFFS is a simplified 2D physical wildland fire spread model based on conservation equations, with convection and radiation as heat transfer mechanisms. It also includes some 3D effects. The HDWM arises from an asymptotic approximation of the Navier鈥揝tokes equations, and provides a 3D wind velocity field in an air layer above the terrain surface. Both models can be run in standalone or coupled mode. Finally, the simulation of a real fire in Galicia (Spain) confirms that the tool developed is efficient and fully operational.Junta de Castilla y Le贸n; Fundaci贸n General de la Universidad de Salamanc
Neptuno ++: An Adaptive Finite Element Toolbox for Numerical Simulation of Environmental Problems
[EN]In this talk, we show some of the main features of Neptuno++, through several examples. Neptuno++ is a finite element toolbox mainly developed by L. Ferragut at SINUMCC (Group of Numerical Simulation and
Scientific Computation) and implemented in C++.Junta de Castilla y Le贸n; Fondos FEDE
PhyFire & HDWind: from the initial ideas to the current tool
[EN]We present a historical review of PhyFire and HDWind, both
models developed by the research group on Numerical Simula-
tion and Scientific Computation founded by L. Ferragut at the
University of Salamanca.Junta de Castilla y Le贸n; Fondos FEDE
GIS-integrated environmental models
[EN]In this paper, we present the integration of the mathematical models
Physical Forest Fire Spread
(PhFFS) and
High
Definition Wind Model
(HDWF), developed by the authors, into a GIS-based interface in order to supply to the end-user a func-
tional and efficient tool. The resulting tool automates data acquisition, pre-processes spatial data, launches the aforementioned
models, and displays the corresponding results in a unique environment. Our implementation uses the Python language and
Esri鈥檚 ArcPy library to extend the functionality of ArcMap 10.4. The PhFFS is a simplified 2D physical wildland fire spread
model based on conservation equations, with convection and radiation as heat transfer mechanisms. It also includes some 3D
effects. The HDWF arises from an asymptotic approximation of the Navier-Stokes equations, and provides a 3D wind velocity
field in an air layer above the terrain surface. Both models can be run in standalone or coupled mode. Finally, we confirm that
the developed tool is efficient and fully operational presenting some examples of its successful application.Departamento de Educaci贸n de la Junta de Castilla y Le贸n; Fondos FEDER; Fundaci贸n General de la Universidad de Salamanc
Parallel implementation of a simplified semi-physical wildland re spread model using OpenMP
[EN]We present a parallel 2D version of a simplified semi-physical wildland fire spread model based on conservation equations, with convection and radiation as the main heat transfer mechanisms. This version includes some 3D effects. The OpenMP framework allows distributing the prediction operations among the available threads in a multicore architecture, thereby reducing the computational time and obtaining the prediction results much more quickly. The results from the experiments using data from a real fire in Galicia (Spain) confirm the benefits of using the parallel version.Junta of Castilla y Le贸
Dise帽o de un curso SPOC sobre modelizaci贸n matem谩tica
Memoria ID-029. Ayudas de la Universidad de Salamanca para la innovaci贸n docente, curso 2019-2020