Application of the Runge Kutta Discontinuous Galerkin-Direct Ghost Fluid Method to internal explosion inside a water-filled tube

다국어 초록 (Multilingual Abstract)

This paper aims to assess the applicability of the Runge Kutta Discontinuous Galerkin-Direct Ghost Fluid Method to the internal explosion inside a water-filled tube, which previously was studied by many researchers in separate works. Once the explosive charge located at the inner center of the water-filled tube explodes, the tube wall is subjected to an extremely high intensity fluid loading and deformed. The deformation causes a modification of the field of fluid flow in the region near the water-structure interface so that has substantial influence on the response of the structure. To connect the structure and the fluid, valid data exchanges along the interface are essential. Classical fluid structure interaction simulations usually employ a matched meshing scheme which discretizes the fluid and structure domains using a single mesh density. The computational cost of fluid structure interaction simulations is usually governed by the structure because the size of time step may be determined by the density of structure mesh. The finer mesh density, the better solution, but more expensive computational cost. To reduce such computational cost, a non-matched meshing scheme which allows for different mesh densities is employed. The coupled numerical approach of this paper has fewer difficulties in the implementation and computation, compared to gas dynamics based approach which requires complicated analytical manipulations. It can also be applied to wider compressible, inviscid fluid flow analyses often found in underwater explosion events.

참고문헌 (Reference)

1 Liu, G. R., "Smoothed Particle Hydrodynamics: a Meshfree Particle Method" World Scientific 2003

2 Toro, E. F., "Riemann Solvers and Numerical Methods for Fluid Dynamics" Springer 1997

3 Boer, A. d., "Review of coupling methods for nonmatching meshes" 196 : 1515-1525, 2007

4 Shin, Y. S., "Response of Marine Structures to Underwater Explosion"

5 Chen, T. J., "On the Riemann problem for liquid or gas-liquid media" 18 : 529-541, 1994

6 Belytschko, T., "Nonlinear Finite Elements for Continua and Structures" WILEY 2000

7 Xie, W. F., "Multiphase modeling of dynamic fluidstructure interaction during close-in explosion" 74 (74): 1019-1043, 2007

8 Osher, S., "Level Set Methods and Dynamic Implicit Surfaces" Springer 1999

9 Liu, T. G., "Isentropic one-fluid modeling of unsteady cavitating flow" 201 : 80-108, 2004

10 Alia, A., "High explosive simulation using multi-material formulations" 26 : 1032-1042, 2006

11 Wardlaw, A. B., "Fluid-structure interaction mechanisms for close-in explosions" 7 : 265-275, 2007

12 Leveque, R. J., "Finite Volume Methods for Hyperbolic Problems, Cambridge Texts in Applied Mathematics"

13 Donea, J., "Finite Element Methods for Flow Problems" WILEY 2003

14 Sandusky, H., "Dynamic measurements of plastic deformation in a water-filled aluminum tube in response to detonation of a small explosives charge" 6 : 125-132, 1999

15 Li, B. Q., "Discontinuous Finite Element in Fluid Dynamics and Heat Transfer" Springer 2006

16 Broglia, R., "Development and Validation of an Axisymmetric Navier-stokes Solver for Hypersonic Flows" Von Karman Institute for Fluid Dynamics 1995

17 Cooke, C. H., "Continuous front tracking with subcell resolution" 6 (6): 269-282, 1991

18 Xie, W. F., "Application of a one-fluid model for large scale homogeneous unsteady cavitation : the modified Schmidt model" 35 : 1177-1192, 2006

19 Zhao, Guo-Zhong, "An RKDG finite element method for the one-dimensional inviscid compressible gas dynamics equations in a Lagrangian coordinate" 222 (222): 020202-1-020202-14, 2013

20 Cockburn, B., "An Introduction to the Discontinuous Galerkin Method for Convection-dominated Problems" Springer Berlin 1998

21 Linder, C., "An Arbitrary Lagrangian-eulerian Finite Element Formulation for Dynamics and Finite Strain Plasticity Models" University of Stuttgart 2003

22 Souli, M., "ALE formulation for fluid-structure interaction problems" 190 : 659-675, 2000

23 Fedkiw, R. P., "A non-oscillatory Eulerian approach to interfaces in multimaterial flows(The Ghost Fluid Method)" 152 : 457-492, 1999