Abstract: A new floating shock-fitting technique featuring the explicit computation of shocks by means of the Rankine–Hugoniot relations has been implemented on two-dimensional unstructured grids. This paper illustrates the algorithmic features of this original technique and the results obtained in the computation of the hypersonic flow past a circular cylinder and a steady Mach reflection. [Copyright &y& Elsevier]
*BOUNDARY value problems, *PAPER, *SPEED, *FLOWS (Differentiable dynamical systems)
Abstract
Abstract: In this paper, a new definition of SE and CE, which is based on the hexahedron mesh and simpler than Chang’s original CE/SE method (the space–time Conservation Element and Solution Element method), is proposed and an improved CE/SE scheme is constructed. Furthermore, the improved CE/SE scheme is extended in order to solve the elastic–plastic flow problems. The hybrid particle level set method is used for tracing the interfaces of materials. Proper boundary conditions are presented in interface tracking. Two high-velocity impact problems are simulated numerically and the computational results are carefully compared with the experimental data, as well as the results from other literature and LS-DYNA software. The comparisons show that the computational scheme developed currently is clear in physical concept, easy to be implemented and high accurate and efficient for the problems considered. [Copyright &y& Elsevier]