introduction
-Motivation-
In recent years, the application of numerical methods, such as FEM, BEM, FDM and so on, to acoustical problems has widely spread, and furthermore, various kinds of new related techniques are also being developed. However, practical software users are sometimes confused with choosing an appropriate method among them, because clear indications about the choice can hardly be seen. Generally, one researcher has implemented one new method, but cannot sufficiently compare the numerical result with those obtained by other methods. One of the reasons for this situation is that there have been few collaborative opportunities to compare results with each other.
In recent years, the application of numerical methods, such as FEM, BEM, FDM and so on, to acoustical problems has widely spread, and furthermore, various kinds of new related techniques are also being developed. However, practical software users are sometimes confused with choosing an appropriate method among them, because clear indications about the choice can hardly be seen. Generally, one researcher has implemented one new method, but cannot sufficiently compare the numerical result with those obtained by other methods. One of the reasons for this situation is that there have been few collaborative opportunities to compare results with each other.
As an attempt, a suite of benchmark problems is arranged in this site in order to mutually compare computational accuracy and efficiency of various methods. To make clear comparison, a specific form for contribution of numerical results is also provided. Those who carried out the benchmark tests are requested to submit their results following the form, provided that the burden of the proof is on the contributors
Benchmark problems are given in three categories as the following table. Each category has two types of problems in the time and/or frequency domain: the basic type of simple shape, and the practical type of complicated shape.
| category |
type |
index |
domain |
object |
note |
| A. exterior | 0. basic | A0-1F |
frequency | vibrating cube | radiation |
A0-2F |
frequency | cube | radiation | ||
A0-2T |
time | ||||
A0-3F |
frequency | sphere with a point source | scattering | ||
A0-3T |
time | ||||
A0-4F |
frequency | sphere | scattering | ||
A0-4T |
time | ||||
A0-5F |
frequency | flat panel | diffraction | ||
A0-5T |
time | ||||
| 1. practical | A1-1F |
frequency | loudspeaker | radiation | |
A1-1T |
time | ||||
A1-2F |
frequency | diffuser | scattering | ||
A1-2T |
time | ||||
A1-3F |
frequency | rigid simple barrier | diffraction | ||
A1-3T |
time | ||||
A1-4F |
frequency | rigid barrier with cylindrical edge | diffraction | ||
A1-4T |
time | ||||
A1-5F |
frequency | absorptive barrier with cylindrical edge | diffraction | ||
A1-5T |
time | ||||
| B. interior | 0.basic | B0-1F |
frequency | rigid cubic cavity | scattering |
B0-1T |
time | ||||
B0-2F |
frequency | absorptive cubic cavity | scattering | ||
B0-2T |
time | ||||
| 1. practical | B1-1F |
frequency | auditorium | scattering | |
B1-1T |
time | ||||
B1-2F |
frequency | auditorium with seats | scattering | ||
B1-2T |
time | ||||
B1-3F |
frequency | reverberation room | scattering | ||
B1-3T |
time | ||||
B1-4F |
frequency | rectangular room with an absorption surface | scattering | ||
B1-4T |
time | ||||
B1-5F |
frequency | rectangular room with an absorption layer | scattering | ||
B1-5T |
time | ||||
B1-6F |
frequency | convention hall with seats | scattering | ||
B1-6T |
time | ||||
| C. structural-acoustic | 0. basic | C0-1F |
frequency | plate in baffle | insulation |
| 1. practical | C1-1F |
frequency | plate in room | radiation | |
C1-2F |
frequency | plate between rooms | insulation |