Conservation laws with discontinuous flux function on networks: a splitting algorithm

<abstract><p>In this article, we present an extension of the splitting algorithm proposed in [<xref ref-type="bibr" rid="b22">22</xref>] to networks conservation laws with piecewise linear discontinuous flux functions unknown. We start discussion a suitable Riemann solver at junction and then describe strategy how use on network. In particular, focus two types junctions, i.e., junctions where number outgoing roads does not exceed incoming (dispersing type) one road (merging type). Finally, numerical examples demonstrate accuracy by comparisons exact solution other approaches used literature.</p></abstract>