We describe a new family of second-order, unstaggered central finite volume methods for one-dimensional nonlocal traffic flow models.The main advantage of the presented method is its ability to evolve the numerical solution on a single grid, avoid solving Riemann problems at the cell interfaces, and alternate between an original and a staggered grid.Our numerical results demonstrate the effectiveness and performance of the suggested method by comparing them favorably to those produced using the original Nessyahu-Tadmor (NT) method.
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Belkadi et al. (2024) studied this question.
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