典型文献
Helmholtz equation and non-singular boundary elements applied to multi-disciplinary physical problems
文献摘要：
The famous scientist Hermann von Helmholtz was born 200 years ago.Many complex physical wave phenomena in engineering can effectively be described using one or a set of equations named after him:the Helmholtz equation.Although this has been known for a long time,from a theoretical point of view,the actual numerical implementation has often been hindered by divergence-free and/or curl-free constraints.There is further a need for a numerical method that is accurate,reliable and takes into account radiation conditions at infinity.The classical boundary element method satisfies the last condition,yet one has to deal with singularities in the implementation.We review here how a recently developed singularity-free three-dimensional boundary element framework with superior accuracy can be used to tackle such problems only using one or a few Helmholtz equations with higher order(quadratic)elements which can tackle complex curved shapes.Examples are given for acoustics(a Helmholtz resonator among others)and electromagnetic scattering.
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作者姓名：
Evert Klaseboer;Qiang Sun
作者机构：
Institute of High Performance Computing,1 Fusionopolis Way,Singapore 138632,Singapore;Australian Research Council Centre of Excellence for Nanoscale BioPhotonics,School of Science,RMIT University,Melbourne,VIC 3001,Australia
文献出处：
引用格式：
[1]Evert Klaseboer;Qiang Sun-.Helmholtz equation and non-singular boundary elements applied to multi-disciplinary physical problems)[J].理论物理,2022(08):18-34
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Helmholtz,boundary,elements,applied,multi,disciplinary,physical,problems,famous,scientist,Hermann,von,was,born,years,ago,Many,complex,wave,phenomena,engineering,can,effectively,described,using,one,set,equations,named,after,him,Although,this,has,been,known,long,from,theoretical,point,actual,numerical,implementation,often,hindered,by,divergence,free,curl,constraints,There,further,need,method,that,accurate,reliable,takes,into,account,radiation,conditions,infinity,classical,satisfies,last,yet,deal,singularities,We,review,how,recently,developed,singularity,three,dimensional,framework,superior,accuracy,used,tackle,such,only,few,higher,order,quadratic,which,curved,shapes,Examples,are,given,acoustics,resonator,among,others,electromagnetic,scattering
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0.671489
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