Publicación: HIGH-ORDER FINITE VOLUME WENO SCHEMES FOR NON-LOCAL MULTI-CLASS TRAFFIC FLOW MODELS
Fecha
2020
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HYPERBOLIC PROBLEMS: THEORY, NUMERICS AND APPLICATIONS
Resumen
THIS PAPER FOCUSES ON THE NUMERICAL APPROXIMATION OF A CLASS OF NON-LOCAL SYSTEMS OF CONSERVATION LAWS IN ONE SPACE DIMENSION, ARISING IN TRAFFIC MODELING, PROPOSED BY [F.A. CHIARELLO AND P. GOATIN. NON-LOCAL MULTI-CLASS TRAFFIC FLOW MODELS. NETWORKS AND HETEROGE-NEOUS MEDIA, TO APPEAR, AUG. 2018]. WE PRESENT THE MULTI-CLASS VERSION OF THE FINITE VOLUME WENO (FV-WENO) SCHEMES [C. CHALONS, P. GOATIN, AND L. M. VILLADA. HIGH-ORDER NUMERICAL SCHEMES FOR ONE-DIMENSIONAL NON-LOCAL CONSERVATION LAWS. SIAM
JOURNAL ON SCIENTIFIC COMPUTING, 40(1):A288?A305, 2018.], WITH QUADRATIC POLYNOMIAL RECONSTRUCTION IN EACH CELL TO EVALUATE THE NON-LOCAL TERMS IN ORDER TO OBTAIN HIGH-ORDER OF
ACCURACY. SIMULATIONS USING FV-WENO SCHEMES FOR A MULTI-CLASS MODEL FOR AUTONOMOUS AND HUMAN-DRIVEN TRAFFIC FLOW ARE PRESENTED FOR M = 3 .
