Generalization of Runge‐Kutta discontinuous Galerkin method to LWR traffic flow model with inhomogeneous road conditions

The discussed model is characterized by changeable lane numbers and free flow velocities that give rise to the spatially varying flux function in conservation equation. Accordingly a new numerical flux and a new limiter for the Runge-Kutta Discontinuous Galerkin method are considered, which are compared with a natural but simple extension. It is verified that the new generalization is of high-resolution and has wider stable and convergent ranges. © 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2005

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