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IMPLICIT-EXPLICIT METHODS FOR A CONVECTION-DIFFUSION-REACTION MODEL OF THE PROPAGATION OF FOREST FIRES

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dc.creatorLUIS MIGUEL VILLADA OSORIO
dc.date2020
dc.date.accessioned2025-01-10T15:14:31Z
dc.date.available2025-01-10T15:14:31Z
dc.date.issued2020
dc.description.abstractNUMERICAL TECHNIQUES FOR APPROXIMATE SOLUTION OF A SYSTEM OF REACTION-DIFFUSION-CONVECTION PARTIAL DIFFERENTIAL EQUATIONS MODELING THE EVOLUTION OF TEMPERATURE AND FUEL DENSITY IN A WILDFIRE ARE PROPOSED. THESE SCHEMES COMBINE LINEARLY IMPLICIT-EXPLICIT RUNGE?KUTTA (IMEX-RK) METHODS AND STRANG-TYPE SPLITTING TECHNIQUE TO ADEQUATELY HANDLE THE NON-LINEAR PARABOLIC TERM AND THE STIFFNESS IN THE REACTIVE PART. WEIGHTED ESSENTIALLY NON-OSCILLATORY (WENO) RECONSTRUCTIONS ARE APPLIED TO THE DISCRETIZATION OF THE NONLINEAR CONVECTION TERM. EXAMPLES ARE FOCUSED ON THE APPLICATIVE PROBLEM OF DETERMINING THE WIDTH OF A FIREBREAK TO PREVENT THE PROPAGATION OF FOREST FIRES. RESULTS ILLUSTRATE THAT THE MODEL AND NUMERICAL SCHEME PROVIDE AN EFFECTIVE TOOL FOR DEFINING THAT WIDTH AND THE PARAMETERS FOR CONTROL STRATEGIES OF WILDLAND FIRES.
dc.formatapplication/pdf
dc.identifier.doi10.3390/math8061034
dc.identifier.issn2227-7390
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/11084
dc.languagespa
dc.publisherMATHEMATICS
dc.relation.uri10.3390/math8061034
dc.rightsPUBLICADA
dc.titleIMPLICIT-EXPLICIT METHODS FOR A CONVECTION-DIFFUSION-REACTION MODEL OF THE PROPAGATION OF FOREST FIRES
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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