Large-scale parallel computing for 3D gaseous detonation

In numerical simulation of 3D gas detonation, due to the complexity of the computational domain in high resolution numerical computing negative density and pressure often emerge, which leads to blow-ups. In addition, a large number of grids resulting from relative mesh resolution and large-scale computing domain consume tremendous computing resources, which poses another challenge on the numerical simulation. In this paper, the positivity-preserving high order weighted essentially non-oscillatory (WENO) scheme is constructed without destroying the numerical accuracy and stability, and then the high-resolution parallel code is developed on the platform of Message Passing Interface (MPI). It is used to simulate the propagation of detonation wave in the 3D square duct with obstacles. The numerical results show that high-resolution parallel code can effectively simulate the propagation of 3D gas detonation wave in pipe, and the results also show that density and pressure are not negative in the event of diffraction. Therefore, the high-resolution parallel code provides an effective way to explore the new physical mechanism of 3D gas detonation.