Numerical investigation of the propagation of planar shock waves in saturated flexible porous materials: development of the computer code and comparison with experimental results

• Published in: Journal of fluid mechanics 2002-07, Vol.462, p.285-306
• Main Authors: LEVI-HEVRONI, D., LEVY, A., BEN-DOR, G., SOREK, S.
• Format: Article
• Language: English
• Subjects: Comparative studies; Compressible flows; shock and detonation phenomena; Computers; Exact sciences and technology; Flows through porous media; Fluid dynamics; Fundamental areas of phenomenology (including applications); Nonhomogeneous flows; Numerical analysis; Physics; Porous materials; Porous media; Shock waves; Shock-wave interactions and shock effects; Shock-wave interactions and shockeffects
• ISSN: 0022-1120; 1469-7645
• DOI: 10.1017/S0022112002008583

The three-dimensional governing equations of the flow field that is developed when an elasto-plastic exible porous medium, capable of undergoing extremely large deformations, is struck head-on by a shock wave, are developed using a multi-phase approach. The one-dimensional version of these equations is solved numerically using an arbitrary Lagrangian–Eulerian (ALE) based numerical code. The numerical predictions are compared qualitatively to experimental results from various sources and good agreement is obtained. This study complements our earlier study in which we developed and solved, using a total variation diminishing (TVD) based numerical code, the governing equations of the flow field that is developed when an elastic rigid porous medium, capable of undergoing only very small deformations, is struck head-on by a shock wave.