Revision as of 14:54, 22 November 2022

Summary

We present in this work shock-/interface-capturing numerical methods in the finitevolume central-weighted essentially non-oscillatory (CWENO) reconstruction scheme on unstructured grids for the simulation of multi-component or multiphase compressible flows. Using the five-equation interface capturing models of Allaire et al. and Kapila et al. in the open-source unstructured compressible flow solver UCNS3D, we will demonstrate the capabilities and robustness of the CWENO in capturing and resolving the material interface in multicomponent/multiphase flows in the presence of strong gradients and material discontinuities, with oscillation free solutions and reduced numerical diffusion. To test our numerical methods, a simple one-dimensional test case and a more sophisticated 2d underwater test case with cavitation are considered. The numerical results of our study are compared with results from existing high-order methods. The results show that the CWENO is less dissipative without the spurious oscillations that typically develop at material boundaries and also gives a high-resolution description of the moving material interface with less artificial smearing than other high other schemes.