This paper deals with the numerical resolution of bounded acceleration extensions of the LWR model. Two different manners for bounding acceleration in the LWR model are presented: introducing a moving boundary condition in front of and accelerating flow or defining a field of constraints on the maximum allowed speed in the (x, t) plane. Both extensions lead to the same solutions if the declining branch of the fundamental diagram is linear. The existing numerical scheme for the latter extension will then be recalled. Finally, a new numerical scheme suitable for the former extension will be proposed. This scheme corrects the limitations of the previous one.(A) Reprinted with permission from Elsevier. For the covering abstract see ITRD E134766.
Samenvatting