An impact of forcing terms on the delta shock front
Indian Institute of Technology, Roorkee, India
Accepted: 22 June 2020
Published online: 11 July 2020
It is fortunate to answer the question that how shocks involve in conservation laws. So, here in this paper, Riemann’s problem is considered for pressureless (zero pressure flow) Euler’s equations having discontinuous forcing terms. To obtain the delta shock solution, and the impact of the forcing term on the delta shock front, we combine the generalized Rankine–Hugoniot conditions with the characteristic method for various situations. Moreover, during this process of obtaining the Riemann solution, some absorbing phenomena are also found, such as the occurrence of the vacuum state and the disappearance of the delta shock wave, etc.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020