An adaptive finite-volume method for a model of two-phase pedestrian flow

dc.date2011
dc.date.accessioned2012-02-05T21:03:22Z
dc.date.available2012-02-05T21:03:22Z
dc.date.issued2012-02-05
dc.description.abstractA flow composed of two populations of pedestrians moving in different directions is modeled by a two-dimensional system of convectiondiff usion equations. An efficient simulation of the two-dimensional model is obtained by a finite-volume scheme combined with a fully adaptive multiresolution strategy. Numerical tests show the flow behavior in various settings of initial and boundary conditions, where different species move in countercurrent or perpendicular directions. The equations are characterized as hyperbolicelliptic degenerate, with an elliptic region in the phase space, which in one space dimension is known to produce oscillation waves. When the initial data are chosen inside the elliptic region, a spatial segregation of the populations leads to pattern formation. The entries of the diffusion-matrix determine the stability of the model and the shape of the patterns. © American Institute of Mathematical Sciences.es
dc.formatPDFes
dc.identifier.citationNetworks and Heterogeneous Media, Vol. 6, Nº 3, 401-423, 2011es
dc.identifier.doi10.3934/nhm.2011.6.401es
dc.identifier.urihttps://hdl.handle.net/10925/555
dc.language.isoenes
dc.sourceNetworks and Heterogeneous Mediaes
dc.subjectFlujos multifásicoses
dc.subjectModelo de multitudeses
dc.subjectLeyes de conservaciónes
dc.subjectSistema hiperbólico-elípticoes
dc.titleAn adaptive finite-volume method for a model of two-phase pedestrian flowes
dc.typeArtículo de Revistaes
uct.carreraGeografíaes
uct.carreraIngeniería Civil Industriales
uct.carreraPlan Común Ingenieríaes
uct.catalogadoragaes
uct.comunidadIngenieríaes
uct.facultadFacultad de Ingenieríaes
uct.indizacionISIes
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