Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
NUMERICAL STUDY OF SHOCK WAVE REFLECTION WHEN INTERACTING WITH A RIGID WEDGE
Submission Author:
Rodrigo Savi Justi , RS
Co-Authors:
Rodrigo Savi Justi, Andrés Armando Mendiburu Zevallos
Presenter: Rodrigo Savi Justi
doi://10.26678/ABCM.COBEM2021.COB2021-0834
Abstract
The reflection of shock waves can be separated into regular reflection (RR) and irregular reflections (IR), the last comprehending Mach Reflections (MR) and von Neumann Reflections (vNR). In unsteady and pseudo-unsteady flow, the MR can be subdivided into simple Mach Reflection (SMR), transitional Mach Reflection (TMR) and double Mach Reflection (DMR). When a plane shock wave hits a wedge, occurs a reflection-diffraction process and then a self-similar reflected shock moves outward while the original shock moves forward in time. The experimental and computational analysis shows that various patterns of reflections can occur, including regular and Mach reflections. The RR-MR transition in planar shock waves with rigid wedge interaction has been an area of much research in past decades and can be studied with both analytical methods and numerical simulations. In a numerical approach, the determination of the boundary between the regular and Mach reflections can be obtained by post-processing of solutions of time-dependent Euler equations in two dimensions for many flow conditions. The objective of this work is to determine numerically this boundary and compare it to experimental data and to the boundary predicted by two- shock and three-shock analytical theories. The solution of Euler equations was performed by fifth order WENO reconstruction finite volume scheme and the fluxes were obtained by HLLC approximated Riemann solver. The time discretization is realized by a TVD third order Rugen-Kutta scheme and the time step was determined by CFL condition. The numerical boundary obtained have a good agreement with the detachment boundary for low Mach numbers ranging from 1.0 to 1.7 but not to the high Mach number ranging from 1.7 to 4.0, as was expected based in another research works in the literature.
Keywords
Shock Waves, Mach reflection, Euler equations, Riemann solver, WENO Reconstruction
