A Parallel Code for Time-Dependent acoustic Scattering Involving Passive or Smart Obstacles

A highly parallelizable numerical method to solve three-dimensional time-dependent acoustic obstacle scattering problems involving passive or smart, furtive, realistic obstacles is presented. ‘‘Realistic’’ obstacles have complex geometries, ‘‘passive’’ obstacles do not react by taking an action to pursue a goal when hit by an incoming wave, and ‘‘smart furtive’’ obstacles, when hit by an incoming wave, pursue the goal of being undetectable by circulating a suitable pressure current on their boundaries. Incoming wave packets containing time-harmonic waves of small wavelengths when compared with the characteristic dimension of the obstacles are considered. The features of the computational method proposed to solve these scattering problems that can be exploited in a parallel and/or distributed computing environment are presented. Numerical experiments involving a simplified version of the NASA space shuttle are discussed. The websites: http://www.econ.univpm.it/ recchioni/scattering/w12, http://www.econ.univpm.it/recchioni/scattering/w14 contain animations and virtual reality applications showing some numerical experiments relative to the problems studied. A more general reference to the work of some of the authors and of their coworkers in acoustic and electromagnetic scattering is the website: http://www.econ. univpm.it/recchioni/scattering.

[1]  Maria Cristina Recchioni,et al.  The Use of Wavelets in the Operator Expansion Method for Time-Dependent Acoustic Obstacle Scattering , 2003, SIAM J. Sci. Comput..

[2]  Maria Cristina Recchioni,et al.  High performance algorithms based on a new wawelet expansion for time dependent acoustics obstale scattering , 2007 .

[3]  Alan Tennant,et al.  General analysis of the phase-switched screen. Part 1: The single layer case , 2002 .

[4]  Ian T. Foster,et al.  The Anatomy of the Grid: Enabling Scalable Virtual Organizations , 2001, Int. J. High Perform. Comput. Appl..

[5]  Barry Chambers,et al.  A smart radar absorber , 1999 .

[6]  Steven Tuecke,et al.  The Anatomy of the Grid , 2003 .

[7]  William H. Press,et al.  Numerical Recipes: FORTRAN , 1988 .

[8]  Graziella Pacelli,et al.  Optimal-control methods for two new classes of smart obstacles in time-dependent acoustic scattering , 2006 .

[9]  Kenneth Lee Ford,et al.  Smart microwave absorber , 2000 .

[10]  S. Mallat Multiresolution approximations and wavelet orthonormal bases of L^2(R) , 1989 .

[11]  Maria Cristina Recchioni,et al.  Furtivity and Masking Problems in Time-Dependent Electromagnetic Obstacle Scattering , 2003 .

[12]  Francesco Zirilli,et al.  Mathematical models and numerical methods to solve some problems in time dependent acoustic obstacle scattering. , 2003 .

[13]  Maria Cristina Recchioni,et al.  The use of the Pontryagin maximum principle in a furtivity problem in time-dependent acoustic obstacle scattering , 2001 .

[14]  Francesco Zirilli,et al.  New scattering problems and numerical methods in acoustics. , 2005 .

[15]  Maria Cristina Recchioni,et al.  A masking problem in time dependent acoustic obstacle scattering , 2004 .

[16]  Alan Tennant,et al.  Influence of switching-waveform characteristics on the performance of a single-layer-phase switched screen , 2002 .