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NUMERICAL COMPARISON OF NONLOCAL MACROSCOPIC MODELS OF MULTI-POPULATION PEDESTRIAN FLOWS WITH ANISOTROPIC KERNEL

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2024
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HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS. VOLUME II
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Resumen
THIS PAPER PROPOSES THREE VARIANTS OF A NONLOCAL MACROSCOPIC PEDESTRIAN FLOW MODEL ACCOUNTING FOR ANISOTROPIC INTERACTIONS BETWEEN DIFFERENT GROUPS AND INCLUDING THE PRESENCE OF WALLS OR OTHER OBSTACLES IN THE WALKING DOMAIN. THE SOLUTIONS BEHAVIOUR IN THE CASE OF BI-DIRECTIONAL FLOWS AND OTHOGONALLY CROSSING FLOWS ARE COMPARED BY MEANS OF NUMERICAL SIMULATIONS BASED ON HIGH ORDER FINITE DIFFERENCE SCHEMES.
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WENO NUMERICAL SCHEMES, NONLOCAL CONSERVATION LAWS, MACROSCOPIC PEDESTRIAN FLOW MODELS, ANISOTROPIC INTERACTIONS
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