We consider a system of scalar conservation laws on a star-shaped graph and compare numerically the implementation of two different procedures to compute the transmission condition at the junction, proposed in [14] and [16]. The first algorithm mentioned above processes the junction in an implicit manner, while in the second one the transmission condition at the junction is dealt with in an explicit way. We propose an enhanced algorithm as a combination of the analyzed methods by introducing a shock detection approach avoiding slow convergence rate situations.
On the behavior of some transmission conditions in finite volume schemes for scalar conservation laws on network with shock detection enhancement / Pellegrino, S.F., Peru, F.. - In: ADVANCES IN COMPUTATIONAL SCIENCE AND ENGINEERING. - ISSN 2837-1739. - 8:0(2026), pp. 1-21. [10.3934/acse.2026004]
On the behavior of some transmission conditions in finite volume schemes for scalar conservation laws on network with shock detection enhancement
Pellegrino, Sabrina Francesca
;
2026
Abstract
We consider a system of scalar conservation laws on a star-shaped graph and compare numerically the implementation of two different procedures to compute the transmission condition at the junction, proposed in [14] and [16]. The first algorithm mentioned above processes the junction in an implicit manner, while in the second one the transmission condition at the junction is dealt with in an explicit way. We propose an enhanced algorithm as a combination of the analyzed methods by introducing a shock detection approach avoiding slow convergence rate situations.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
