Abstract
The interface flux plays an important role in designing numerical methods for scalar conservation laws with discontinuous flux function in space. Based on the (A,B)-type entropy solutions defined by Bürger et al. (2009), we introduce a new modified Local Lax–Friedrichs interface flux to approximate this system. The interface flux is Lipschitz continuous and monotone with respect to its two variables. Moreover, we present some numerical experiments to demonstrate the efficiency of our method.
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