Development Report of Powerful Acoustic Computing Environment
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1 Developmet Report of Powerful Acoustic Computig Eviromet Takayuki asumoto echaical CAE Divisio VPD Group Cyberet Systems Co. td. 006 ANSYS Ic. ANSYS Ic. Proprietary
2 Ageda Part: The Curret Status of Numerical Acoustic Aalysis Necessity Aalytical techiques Boudary elemet method Part : The Fast ultipole BE Outlie Effects Potetial Coclusio 006 ANSYS Ic. ANSYS Ic. Proprietary
3 Ageda Part: The Curret Status of Numerical Acoustic Aalysis Necessity Aalytical techiques Boudary elemet method Part : The Fast ultipole BE Outlie Effects Potetial Coclusio 006 ANSYS Ic. ANSYS Ic. Proprietary
4 Necessity Needs of the market Noise reductio Quietude Creatio of a comfortable acoustic eviromet Costraits Shorteig of the developmet period Reductios i developmet costs Higher value-added products Ehacemet of competitive ability Reductios i the umber of trial products Use of Simulatio Simulatio allows us to get acquaited with detailed pheomea that caot be idetified through experimets. 006 ANSYS Ic. ANSYS Ic. Proprietary
5 Aalytical Techiques ethods for Wave Pheomea The fiite differece method The fiite elemet method The boudary elemet method Geometrical ethods Statistical ethods Iput Power Eergy of Elemet Eergy of Elemet Outflow from Elemet to Elemet Outflow from Elemet to Elemet Iteral oss of Elemet 006 ANSYS Ic. ANSYS Ic. Proprietary
6 Why is BE used? Wave theory-based treatmet is possible. The soud radiatio problem ca be completely hadled easily. Preparig a mesh is easy. Suitable for structural bor oise 006 ANSYS Ic. ANSYS Ic. Proprietary
7 Predictig a Structure Bor Noise. Calculate a frequecy respose of the displacemet of the surface Structural FE code is eeded ANSYS should be used. ap it oto the acoustic BE mesh 3. Calculate the frequecy respose of the acoustic pressure i the acoustic field 006 ANSYS Ic. ANSYS Ic. Proprietary
8 Problems with BE A computatioal load is heavy. A boudary must be split ito 6 elemets per wavelegth. A asymmetric ad full matrix Soud pressure value Oe-to-all relatioship is described over all degrees of freedom. emory requiremet - O(N ) Computatioal time - O(N 3 ) Boudary Space 006 ANSYS Ic. ANSYS Ic. Proprietary
9 Ageda Part: The Curret Status of Numerical Acoustic Aalysis Necessity Aalytical techiques Boudary elemet method Part : The Fast ultipole BE Outlie Effects Potetial Coclusio 006 ANSYS Ic. ANSYS Ic. Proprietary
10 Outlie FBE 006 ANSYS Ic. A techique developed by applyig the FA (Fast ultipole Algorithm) to the boudary elemet method FA Aouced by Vladimir Rokhli eslie Greegard et al. i 987. A algorithm for efficietly aalyzig the potetial problem with multiple degrees of freedom Astrophysics ovemet of atoms Top 0 Algorithms of the 0 th Cetury Chose by the Society for Idustrial ad Applied athematics (SIA) ( ANSYS Ic. Proprietary
11 ANSYS Ic. Proprietary 006 ANSYS Ic O O O O O O O m C C m m C C C C A A A A A A A A A β β β β β β β β β 3 A Outlie of the FA Outlie
12 Outlie A Outlie of the FBE Boudary Boudary evel Root evel ANSYS Ic. ANSYS Ic. Proprietary
13 Effects (A Theoretical Examiatio) Performace of the FBE 006 ANSYS Ic. ANSYS Ic. Proprietary
14 Effects (A Theoretical Examiatio) Performace of the FBE Computatioal Accuracy Compariso of accuracy of actual results with a theoretical result Itel Petium 3. GHz A sphere of meter i radius; Particle velocity: m/s Amplitude of soud pressure at a positio meters from the ceter 006 ANSYS Ic. ANSYS Ic. Proprietary
15 Effects(a Complicated case) Performace of FBE Structural frequecy respose aalysis - by ANSYS Surface distributio of the displacemet is used as boudary coditio for the acoustic aalysis 時間的にも Scale of models No. of Nodes 076 No. of Elemets [Hz Fmax ] Frequecy[Hz] emory Used [B] 5 0 CPU Time[mi.] ANSYS Ic. ANSYS Ic. Proprietary
16 Effects (Summary) Performace of FBE The Curret Status of the BE ad the FBE (Examples) A regio that ca be treated with the geeral BE A regio betwee bellow a yellow dotted lie (6000 elemets) ad a red curve For the FBE a regio betwee above a yellow dotted lie ad a red curve A larger model results i a greater icliatio of a red curve. 006 ANSYS Ic. ANSYS Ic. Proprietary
17 Effects (Potetial) oore s aw:twice i two years Accordig to the aw the red lie moves up 3 vertical scale i 0 years. Usig FBE aalysis of cocert hall i 4kHz will be available i 00. ( I BE it will be i 050.) 006 ANSYS Ic. ANSYS Ic. Proprietary
18 Coclusio The BE requires the followig memory ad time: Aalytical time- O(N 3 ) (if the direct method is used) emory requiremet - O(N ) The FBE allows the followig performace: Aalytical time- O(N) emory requiremet - O(N og(n)) Results of aalyses coducted with the FBE are foud to agree well with the theoretical solutio. 006 ANSYS Ic. ANSYS Ic. Proprietary
19 Refereces Research Papers T. Sakuma Y. Yasuda (Ist. of Eviro. Studies Uiv. of Tokyo) Fast ultipole Boudary Elemet ethod for arge-scale Steady-State Soud Field Aalysis. Part I: Setup ad Validatio Acta Acustica uited with Acustica Vol (00). Y. Yasuda T. Sakuma (Ist. of Eviro. Studies Uiv. of Tokyo) Fast ultipole Boudary Elemet ethod for arge-scale Steady-State Soud Field Aalysis. Part II: Examiatio of Numerical Items Acta Acustica uited with Acustica Vol (003). 006 ANSYS Ic. ANSYS Ic. Proprietary
20 Thak you If there is ay questio please cotact us! 006 ANSYS Ic. ANSYS Ic. Proprietary
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