Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
FLUID DYNAMIC SIMULATIONS OF MACH AND REGULAR REFLECTIONS IN OBLIQUE SHOCK-WAVE CONFIGURATIONS USING ADAPTIVE MESH REFINEMENT
Submission Author:
René Sebastian Valencia Ramírez , Lima , Peru
Co-Authors:
René Sebastian Valencia Ramírez, Cesar Celis, Andrés Armando Mendiburu Zevallos, Luis Bravo, Prashant Khare
Presenter: René Sebastian Valencia Ramírez
doi://10.26678/ABCM.COBEM2023.COB2023-0803
Abstract
In the context of the interaction between a moving plane shock wave and an inclined wall (wedge), it is possible to distinguish four distinct shock reflection configurations. These shock wave reflections, which depend on the characteristics of the incident shock wave and the geometry of the surface that it interacts with, are (i) regular reflection (RR), (ii) simple Mach reflection (SMR), (iii) transition Mach reflection (TMR), and (iv) double Mach reflection (DMR). The impact of these shock reflections on flow properties can be significant so understanding them is important when predicting the behavior of shock waves in more complex flow configurations. Previous research works have explored the referred shock reflections through both numerical and experimental approaches, employing various gases and different flow and geometrical configurations. The present study involves the use of a high-fidelity computational fluid dynamics (CFD) tool, known as PeleC, which is a compressible solver based on AMReX specifically designed to handle complex flow configurations. Accordingly, by solving the time-dependent Euler equations for various 2D flow configurations, this work studies shock wave reflections accounting for four different Mach-based operating conditions and compares and analyzes the resulting density profiles on the wedge wall with experimental data. To strike a balance between model accuracy and computational efficiency, adaptive mesh refinement (AMR) is incorporated, and a mesh independence study is performed by varying the number of AMR levels. The numerical method utilized here is based on a finite volume discretization, involving approximate Riemann solvers. Temporal and spatial integration is performed using the method of lines (MOL), a second-order characteristic-based spatial method, coupled with a Runge-Kutta time integration. The time step obeys a specified Courant-Friedrichs-Lewy (CFL) condition of 0.3. The results of this study demonstrate the capabilities of the CFD tool employed as it accurately predicts the sensitivity of wave characteristics to different operating conditions. The findings of this work will serve as a foundation for future studies involving more complex flow configurations such as those featuring detonation waves.
Keywords
Wedge flows, Shock Waves, wave propagation, Euler equations, AMR
