Name
Title | ||
|---|---|---|
Boundary element dynamical energy analysis: A versatile method for solving two or three dimensional wave problems in the high frequency limit |
Abstract | ||
|---|---|---|
Dynamical energy analysis was recently introduced as a new method for determining the distribution of mechanical and acoustic wave energy in complex built up structures. The technique interpolates between standard statistical energy analysis and full ray tracing, containing both of these methods as limiting cases. As such the applicability of the method is wide ranging and additionally includes the numerical modelling of problems in optics and more generally of linear wave problems in electromagnetics. In this work we consider a new approach to the method with enhanced versatility, enabling three-dimensional problems to be handled in a straightforward manner. The main challenge is the high dimensionality of the problem: we determine the wave energy density both as a function of the spatial coordinate and momentum (or direction) space. The momentum variables are expressed in separable (polar) coordinates facilitating the use of products of univariate basis expansions. However this is not the case for the spatial argument and so we propose to make use of automated mesh generating routines to both localise the approximation, allowing quadrature costs to be kept moderate, and give versatility in the code for different geometric configurations. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.jcp.2012.05.028 | J. Comput. Physics |
Keywords | Field | DocType |
high frequency limit,versatile method,boundary element dynamical energy,spatial argument,wave energy density,acoustic wave energy,linear wave problem,momentum variable,enhanced versatility,new method,new approach,dimensional wave problem,dynamical energy analysis,standard statistical energy analysis,statistical energy analysis,boundary element method | Mathematical optimization,Mathematical analysis,Ray tracing (graphics),Electromagnetics,Curse of dimensionality,Momentum,Boundary element method,Quadrature (mathematics),Acoustic wave,Statistical energy analysis,Mathematics | Journal |
Volume | Issue | ISSN |
231 | 18 | Journal of Computational Physics,Volume 231, Issue 18, Pages
6181-6191, 2012 |
Citations | PageRank | References |
3 | 0.58 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| David J. Chappell | 1 | 6 | 3.00 |
| Gregor Tanner | 2 | 6 | 2.67 |
| Stefano Giani | 3 | 36 | 9.55 |