scholarly journals Transient Interaction of a Spherical Shell with an Underwater Explosion Shock Wave and Subsequent Pulsating Bubble

1995 ◽  
Vol 2 (6) ◽  
pp. 451-460 ◽  
Author(s):  
H. Huang ◽  
K.C. Kiddy
Keyword(s):  
Fluid Dynamics ◽  
Shock Wave ◽  
Finite Difference ◽  
Structural Dynamics ◽  
Underwater Explosion ◽  
Gaseous Product ◽  
Finite Difference Technique ◽  
Transient Interaction ◽  
Interaction Problem ◽  
Lagrangian Scheme

The nonlinear interaction problem is analyzed by simultaneously solving the mass, momentum, and energy conservation equations together .with appropriate material constitutive equations governing the fluid dynamics of the explosion gaseous product and the water and the structural dynamics of the compliant shell. A finite difference technique in a coupled Eulerian–Lagrangian scheme is used. The computer program PISCES 2DELK is employed to carry out the numerical computations. The results demonstrate that to rigorously analyze the response of a submerged structure to a nearby explosion, the interactions among the explosion shock wave, the structure, its surrounding media, and the explosion bubble need to be considered.

The Research and Application on Computational Methods in Fluid Dynamics

2011 ◽  
Vol 317-319 ◽  
pp. 807-810
Author(s):  
Ke Qin Su ◽  
Ya Wei Wang ◽  
Jian Ping Wang
Keyword(s):  
Fluid Dynamics ◽  
Shock Wave ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Flux Vector ◽  
Wave Tube ◽  
Flux Vector Splitting ◽  
Nnd Scheme ◽  
The Difference

The NND scheme based on Van Leer flux vector splitting is presented. The flow field of shock wave tube is calculated by the difference method presented in this paper, which shows that the presented finite difference method has fine calculation precision and efficiency, and could capture shock automatically.

Dynamic Responses of a Cylindrical Shell Subjected to Shock Wave Induced by Underwater Explosion

1997 ◽  
Author(s):  
Zhong Weifang ◽  
Liu Zhongzu
Keyword(s):  
Shock Wave ◽  
Cylindrical Shell ◽  
Underwater Explosion ◽  
Dynamic Responses ◽  
Equilibrium Equations ◽  
Wave Pressure ◽  
Coupled Equations ◽  
Shock Wave Pressure ◽  
Wave Induced ◽  
Interaction Problem

Abstract The dynamic responses of a finite length cylindrical shell submerged in an infinite, inviscid, irrotational, incompressible fluid and subjected to shock waves induced to underwater explosion due to a spherical charge, are investigated in the view of method of modal superposition. Effects of shock wave pressure and hydrodynamic force are considered in shell equilibrium equations. By expanding distribution function of shock wave pressure into Fourier series and using method of Galerkin, the coupled equations of fluid-structure interaction problem are solved numerically. Finally, displacement re sponse of the shell is obtained.

A General Finite Difference Technique for the Compressible Flow in the Meridional Plane of Centrifugal Turbomachinery

1975 ◽  
Author(s):  
W. R. Davis
Keyword(s):  
Fluid Dynamics ◽  
Finite Difference ◽  
Systematic Approach ◽  
Computational Method ◽  
Meridional Plane ◽  
System Of Equations ◽  
Complex Flow ◽  
Numerical Examples ◽  
Finite Difference Technique ◽  
Real Machine

There has been an increased concentration of effort recently in the understanding of the complex flow in centrifugal turbomachines, especially industrial machines. Although it is impossible at this time, to model all the phenomena existing in a real machine, it is felt that a systematic approach which makes use of recent advances in computational fluid dynamics, and extends these as further developments occur, will significantly improve our understanding of the flow, and our ability to predict performance and improve efficiency. In this paper, a new general finite difference technique for solving the flow field in the hub-to-shroud plane of any component of a centrifugal turbomachine is described. The technique uses a quasi-orthogonal finite-difference net, and solves the resulting system of equations using a matrix method. Thus the technique offers a stable, accurate computational method, combined with a fixed grid which may be simply applied to the most complex annular passage shape. The results for three numerical examples are presented, a radial to axial inlet, a vaneless radial diffuser and an interstage return bend.

scholarly journals A Fully Elastic Model for Studying Submerged Circular Cylindrical Shells Subjected to a Weak Shock Wave

2009 ◽  
Author(s):  
Ce´dric Leblond ◽  
Serguei Iakovlev ◽  
Jean-Francois Sigrist
Keyword(s):  
Shock Wave ◽  
Structural Dynamics ◽  
Separation Of Variables ◽  
Wave Interaction ◽  
Weak Shock ◽  
Weak Shock Wave ◽  
Acoustic Medium ◽  
Elastic Model ◽  
Fluid Medium ◽  
Interaction Problem

The transient dynamics of evacuated and fluid-filled circular elastic shells, submerged in an infinite fluid medium and subjected to an external weak shock wave, is considered in this paper. This circular shell/acoustic medium interaction problem has already been tackled with simplified thin shell models, based on the Love-Kirchhoff hypotheses for the structural dynamics. In this case, the resulting radiated pressure field displays some discrepancies related to the A0/S0 waves when compared to the experimental data available in the literature for the evacuated case. These drawbacks are overcome here by the use of an isotropic elastic model for the structural dynamics and an inviscid acoustic flow for the fluid dynamics, in a two-dimensional framework. It is assumed that the shell displacements are small compared to both its radius and thickness. The approach is based on the methods of Laplace transform in time, Fourier series expansions and separation of variables in space. For the fluid-filled case, the transient thick shell-weak shock wave interaction problem is explored and the radiated acoustic field described.

Computer Simulation of the Response of Amperometric Biosensors in Stirred and non Stirred Solution

2003 ◽  
Vol 8 (1) ◽  
pp. 3-18 ◽  
Author(s):  
R. Baronas ◽  
F. Ivanauskas ◽  
J. Kulys
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Finite Difference ◽  
Mass Transport ◽  
Enzyme Reaction ◽  
Analyte Concentration ◽  
Amperometric Biosensors ◽  
Finite Difference Technique ◽  
Enzyme Layer ◽  
Biosensor Response

A mathematical model of amperometric biosensors has been developed to simulate the biosensor response in stirred as well as non stirred solution. The model involves three regions: the enzyme layer where enzyme reaction as well as mass transport by diffusion takes place, a diffusion limiting region where only the diffusion takes place, and a convective region, where the analyte concentration is maintained constant. Using computer simulation the influence of the thickness of the enzyme layer as well the diffusion one on the biosensor response was investigated. The computer simulation was carried out using the finite difference technique.

Modelling of Moisture Movement in Wood during Outdoor Storage

2001 ◽  
Vol 6 (2) ◽  
pp. 3-14 ◽  
Author(s):  
R. Baronas ◽  
F. Ivanauskas ◽  
I. Juodeikienė ◽  
A. Kajalavičius
Keyword(s):  
Experimental Data ◽  
Finite Difference ◽  
Climatic Conditions ◽  
Two Dimensional ◽  
Moisture Movement ◽  
Finite Difference Technique ◽  
Long Term Storage ◽  
Space Formulation ◽  
Term Storage

A model of moisture movement in wood is presented in this paper in a two-dimensional-in-space formulation. The finite-difference technique has been used in order to obtain the solution of the problem. The model was applied to predict the moisture content in sawn boards from pine during long term storage under outdoor climatic conditions. The satisfactory agreement between the numerical solution and experimental data was obtained.

On the Motion of Granular Materials Due to Shear

2000 ◽  
Author(s):  
Mehrdad Massoudi ◽  
Tran X. Phuoc
Keyword(s):  
Finite Difference ◽  
Granular Materials ◽  
Continuum Model ◽  
Theory Model ◽  
Governing Equations ◽  
Flat Plates ◽  
Material Parameters ◽  
Finite Difference Technique ◽  
Linear Differential ◽  
The Continuum

Abstract In this paper we study the flow of granular materials between two horisontal flat plates where the top plate is moving with a constant speed. The constitutive relation used for the stress is based on the continuum model proposed by Rajagopal and Massoudi (1990), where the material parameters are derived using the kinetic theory model proposed by Boyle and Massoudi (1990). The governing equations are non-dimensionalized and the resulting system of non-linear differential equations is solved numerically using finite difference technique.

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