On the implementation of a finite volumes scheme with monotone transmission conditions for scalar conservation laws on a star-shaped network
arXiv:1902.0239512 citationsh-index: 10
Originality Synthesis-oriented
AI Analysis
Incremental validation of an existing numerical scheme for network conservation laws.
The paper validates a finite volumes scheme for scalar conservation laws on star-shaped networks by comparing with an explicit solution and Riemann problem solutions, showing qualitative agreement.
In this paper we validate the implementation of the numerical scheme proposed in [3]. The validation is made by comparison with an explicit solution here obtained, and the solutions of Riemann problems for several networks. We then perform some simulations in order to qualitatively validate the model under consideration. Such results represent also a first step for the validation of the finite volumes scheme introduced in [9].