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Pré-Publication, Document De Travail Année : 2016

Numerical specified homogenization of a discrete model with a local perturbation and application to traffic flow

Résumé

The goal of this work is to present a numerical homogenization of a non-local PDE deriving from a first order discrete model for traffic flow that simulates the presence of a local perturbation. In a previous work, we have shown that the solution of the discrete microscopic model converges to the (unique) solution of a Hamilton-Jacobi equation posed on a network and with a junction condition (it can be seen as a flux limiter that keeps the memory of the local perturbation). The goal of this paper is to provide a numerical scheme able to provide an approximation of this flux-limiter. We will show the convergence of this scheme and we will provide some numerical results.
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Dates et versions

hal-01302943 , version 1 (15-04-2016)

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  • HAL Id : hal-01302943 , version 1

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Wilfredo Salazar. Numerical specified homogenization of a discrete model with a local perturbation and application to traffic flow. 2016. ⟨hal-01302943⟩
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