Simulation of gravitational wave detectors

A simulation program that provides insight into the vibrational properties of resonant mass gravitational radiation antennas is developed from scratch. The requirements that are set necessitate the use of an explicit finite element kernel. Since the computational complexity of this kernel requires significant computing power, it is tailored for execution on parallel computer systems. After validating the physical correctness of the program as well as the performance on distributed memory architectures, we present a number of “sample” simulation experiments to illustrate the simulation capabilities of the program. The development path of the code, consisting of problem definition, mathematical modeling, choosing an appropriate solution method, parallelization, physical validation, and performance validation, is argued to be typical for the design process of large-scale complex simulation codes. © 1997 American Institute of Physics.

[1]  Lobo Ja What can we learn about gravitational wave physics with an elastic spherical antenna , 1995 .

[2]  Johnson,et al.  Spherical gravitational wave antennas and the truncated icosahedral arrangement. , 1995, Physical review. D, Particles and fields.

[3]  A. Love A treatise on the mathematical theory of elasticity , 1892 .

[4]  W. Bonnor,et al.  Gravitational Radiation , 1958, Nature.

[5]  N. Ashby,et al.  Gravitational wave reception by a sphere , 1975 .

[6]  Johnson,et al.  Truncated icosahedral gravitational wave antenna. , 1993, Physical review letters.

[7]  G. M.,et al.  A Treatise on the Mathematical Theory of Elasticity , 1906, Nature.

[8]  Geoffrey C. Fox,et al.  Solving problems on concurrent processors: vol. 2 , 1990 .

[9]  C. E. Budde FIG , 2022, ACM SIGMETRICS Performance Evaluation Review.

[10]  J. Weber Detection and Generation of Gravitational Waves , 1960 .

[11]  Horst D. Simon,et al.  Partitioning of unstructured problems for parallel processing , 1991 .

[12]  Caulighi Raghavendra High-Performance Computing and Networking , 1997, Lecture Notes in Computer Science.

[13]  Jack Dongarra,et al.  Pvm 3 user's guide and reference manual , 1993 .

[14]  A. Weinberg,et al.  Oak Ridge National Laboratory. , 1949, Science.

[15]  Peter M. A. Sloot,et al.  Constrained Migration of an Atmospheric Circulation Model , 1996, HPCN Europe.

[16]  R. MacNeal,et al.  Finite Elements: Their Design and Performance , 1993 .

[17]  Luc Blanchet,et al.  Gravitational waveforms from inspiralling compact binaries to second-post-Newtonian order , 1996, gr-qc/9602024.

[18]  G. C. Fox,et al.  Solving Problems on Concurrent Processors , 1988 .

[19]  H. Saunders Book Reviews : The Finite Element Method (Revised): O.C. Zienkiewicz McGraw-Hill Book Co., New York, New York , 1980 .

[20]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[21]  J. Z. Zhu,et al.  The finite element method , 1977 .

[22]  W. Israel in 300 Years of Gravitation , 1988 .