TY - JOUR
T1 - LWDG Method for a Multi-Class Traffic Flow Model on an Inhomogeneous Highway
AU - Sun , Tiantian
AU - Qiu , Jianxian
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 438
EP - 450
PY - 2009
DA - 2009/01
SN - 1
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aamm/8380.html
KW - Multi-class traffic flow, inhomogeneous highway
KW - spatially varying flux, non-strictly hyperbolic conservation laws, LWDG method, WENO limiter.
AB - <p style="text-align: justify;">In this paper, we apply the discontinuous Galerkin method with
Lax-Wendroff type time discretizations (LWDG) using the weighted
essentially non-oscillatory (WENO) limiter to solve a multi-class
traffic flow model for an inhomogeneous highway, which is a kind of
hyperbolic conservation law with spatially varying fluxes. The
numerical scheme is based on a modified equivalent system which is
written as a &quot;standard&quot; hyperbolic conservation form. Numerical
experiments for both the Riemann problem and the traffic signal
control problem are presented to show the effectiveness of these
methods.</p>