On the propagation of decaying planar shock and blast waves through non-uniform channels

Peace, James T.; Lu, Frank K.

doi:10.1007/s00193-018-0818-0

Cited by 6 publications

(7 citation statements)

References 20 publications

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“…Since only a limited number of shock dynamics problems can be solved analytically using GSD, many algorithms were developed to numerically implement GSD models including front tracking methods [6,[10][11][12][16][17][18][19][20], finite difference [5] and finite volume schemes [21,22] based on the conservation form of GSD, and a recent level-set fast marching approach [23]. Among these schemes, the front tracking-based Lagrangian schemes appear to be the most popular ones that have been used for a wide range of shock dynamics problems since accuracy and speed can be well balanced.…”

Section: Methodsmentioning

confidence: 99%

“…Following this concept, Schwendeman [19] computed the propagation of shock waves in gases with non-uniform properties. Best [11] and Peace et al [12] applied the front tracking method to quantitatively investigate influence of the post-shock flow effect on the accuracy of GSD by taking into consideration the interaction between the shock front and the non-uniform flow behind. Qiu and Eliasson [10,18] used this approach to study blast interaction to take advantage of its speed and achieved a good agreement with results from the Euler simulations.…”

Section: Methodsmentioning

confidence: 99%

“…The results of GSD are accurate for shock propagation in uniform media with moderate shock strength if no large gradient exists in the post-shock flow. Various efforts have been made to extend the application of GSD, including modifications to accommodate for moving media [9], post-shock flow effects [10][11][12][13] and detonation waves [14,15].…”

Section: Introductionmentioning

confidence: 99%

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GSD models for blast propagation]{Two-dimensional geometrical shock dynamics for blast wave propagation and post-shock flow effects

Liu

Eliasson

2023

Preprint

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Geometrical shock dynamics (GSD) is a numerical model capable of efficiently predicting the position, shape and strength of a shock wave. Compared to the traditional Euler method that solves the inviscid Euler equations, GSD is a reduced-order model derived from the method of characteristics which results in a more computationally efficient approach since it only considers the motion of the shock front instead of the entire flow field. Here, a study of post-shock flow effects in two dimensions has been performed. These post-shock flow effects become increasingly important when modeling blast wave propagation over extended times or distances, i.e. a shock front that decays in speed and that has decaying properties behind it. A comparison between the first-order complete, and fully complete GSD models (point-source GSD and a model that combines PGSD and the shock-shock approximate theory for cylindrical shock reflection off a straight surface, called PGSDSS) reveals the importance of preserving an intact post-shock flow term, which is truncated by the original GSD model, in predicting blast motion. Lagrangian simulations were performed for the case of interaction between two cylindrical blast waves and results were compared to prior experimental work. Results showed an agreement in attenuation of the maximum pressure at the Mach stem, but an overestimation of the Mach stem growth at its early stage by PGSD was observed.

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Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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GSD models for blast propagation]{Two-dimensional geometrical shock dynamics for blast wave propagation and post-shock flow effects

Liu

Eliasson

2023

Preprint

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“…The study of structure through the kinematic model and geometrical shock dynamics model for non-linear propagating shock waves using the (A-M rule) CCW relation has been done by Ridoux [25]. Peace and Lu [26], analytically described the behavior of a propagating blast and decaying planar shock waves through a non-uniform channel using the second-order approximate equation of the generalized CCW theory. Later on, the second-order approximate equation was found in good agreement with converging shocks with Whitham's A-M relation.…”

Section: Introductionmentioning

confidence: 99%

The effects of gravitational and magnetic fields on the propagation of cylindrical strong shock waves in a van der Waals gas

Anand,

Singh

2024

Phys. Scr.

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The present study aims to investigate the effects of non-idealness parameter, gravitation and magnetic fields behind the flow of motion for cylindrical hydro-magnetic strong shock waves travelling through a tube of variable cross-section in a self-gravitating van der Waals gas. The analytical solution and expression of the flow variables for one-dimensional adiabatic flow behind the strong shock waves are obtained using Chester-Chisnell-Whitham’s (CCW) Method. The initial density distribution of the medium is assumed to be where is the density at the axis of symmetry, a constant and r is the distance from the axis of symmetry. The magnetic field on other hand has been assumed to be varying azimuthal and constant axial components. Due to the presence of magnetic and gravitational fields, the uniform density distribution of the medium becomes non-uniform and this becomes an interesting fact to study. It is found that, all flow variables except the pressure rises with the shock propagation distance. It is also demonstrated that the gravitational and magnetic fields cause the numerical values of the flow variables to increase behind the shock wave. Further research shows that even a small increase in the gravitational field increases the pressure behind the shock wave, whereas a small increase in the magnetic field has little effect on it. Furthermore, it is found that the flow variables get strengthened behind the shock wave in comparison with ahead of the shock. The trends of the current findings are in good agreement with the existing experimental observations results.

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Section: Introductionmentioning

confidence: 99%

Two-Dimensional Geometrical Shock Dynamics for Blast Wave Propagation and Post-Shock Flow Effects

Liu,

Eliasson

2023

Aerospace

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Geometrical shock dynamics (GSD) is a model capable of efficiently predicting the position, shape, and strength of a shock wave. Compared to the traditional Euler method that solves the inviscid Euler equations, GSD is a reduced-order model derived from the method of characteristics which results in a more computationally efficient approach since it only considers the motion of the shock front instead of the entire flow field. Here, a study of post-shock flow effects in two dimensions has been performed. These post-shock flow effects become increasingly important when modeling blast wave propagation over extended times or distances, i.e., a shock front that decays in speed and that has decaying properties behind it. A comparison between the first-order complete, fully complete and point-source GSD (PGSD) models reveals the importance of preserving an intact post-shock flow term, which is truncated by the original GSD model, in predicting blast motion. Lagrangian simulations were performed for the case of interaction between two cylindrical blast waves and the results were compared to prior experimental work. The results showed an agreement in attenuation of the maximum pressure at the Mach stem, but an overestimation of the Mach stem growth at its early stage was observed using PGSD. To address this issue, another model was developed that combines the PGSD model with shock–shock approximate theory (PGSDSS), but it excessively attenuates Mach stem evolution.

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On the propagation of decaying planar shock and blast waves through non-uniform channels

Cited by 6 publications

References 20 publications

GSD models for blast propagation]{Two-dimensional geometrical shock dynamics for blast wave propagation and post-shock flow effects

GSD models for blast propagation]{Two-dimensional geometrical shock dynamics for blast wave propagation and post-shock flow effects

The effects of gravitational and magnetic fields on the propagation of cylindrical strong shock waves in a van der Waals gas

Two-Dimensional Geometrical Shock Dynamics for Blast Wave Propagation and Post-Shock Flow Effects

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