http://scholars.ntou.edu.tw/handle/123456789/1256
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.author | D.L. Young | en_US |
dc.contributor.author | M.H. Gu | en_US |
dc.contributor.author | C.M. Fan | en_US |
dc.date.accessioned | 2020-11-16T09:46:54Z | - |
dc.date.available | 2020-11-16T09:46:54Z | - |
dc.date.issued | 2009-12 | - |
dc.identifier.issn | 0955-7997 | - |
dc.identifier.uri | http://scholars.ntou.edu.tw/handle/123456789/1256 | - |
dc.description.abstract | In this paper, a meshless numerical algorithm is developed for the solution of multi-dimensional wave equations with complicated domains. The proposed numerical method, which is truly meshless and quadrature-free, is based on the Houbolt finite difference (FD) scheme, the method of the particular solutions (MPS) and the method of fundamental solutions (MFS). The wave equation is transformed into a Poisson-type equation with a time-dependent loading after the time domain is discretized by the Houbolt FD scheme. The Houbolt method is used to avoid the difficult problem of dealing with time evolution and the initial conditions to form the linear algebraic system. The MPS and MFS are then coupled to analyze the governing Poisson equation at each time step. In this paper we consider six numerical examples, namely, the problem of two-dimensional membrane vibrations, the wave propagation in a two-dimensional irregular domain, the wave propagation in an L-shaped geometry and wave vibration problems in the three-dimensional irregular domain, etc. Numerical validations of the robustness and the accuracy of the proposed method have proven that the meshless numerical model is a highly accurate and efficient tool for solving multi-dimensional wave equations with irregular geometries and even with non-smooth boundaries. | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | Engineering Analysis with Boundary Elements | en_US |
dc.subject | Meshless method | en_US |
dc.subject | Method of fundamental solutions | en_US |
dc.subject | Method of particular solutions | en_US |
dc.subject | Houbolt finite difference method | en_US |
dc.subject | Multi-dimensional wave equation | en_US |
dc.title | The time-marching method of fundamental solutions for wave equations | en_US |
dc.type | journal article | en_US |
dc.identifier.doi | 10.1016/j.enganabound.2009.05.008 | - |
dc.identifier.isi | WOS:000270647900009 | - |
dc.relation.journalvolume | 33 | en_US |
dc.relation.journalissue | 12 | en_US |
dc.relation.pages | 1411-1425 | en_US |
item.openairecristype | http://purl.org/coar/resource_type/c_6501 | - |
item.fulltext | no fulltext | - |
item.languageiso639-1 | en | - |
item.openairetype | journal article | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | none | - |
crisitem.author.dept | College of Engineering | - |
crisitem.author.dept | Department of Harbor and River Engineering | - |
crisitem.author.dept | National Taiwan Ocean University,NTOU | - |
crisitem.author.dept | Center of Excellence for Ocean Engineering | - |
crisitem.author.dept | Basic Research | - |
crisitem.author.orcid | 0000-0001-6858-1540 | - |
crisitem.author.parentorg | National Taiwan Ocean University,NTOU | - |
crisitem.author.parentorg | College of Engineering | - |
crisitem.author.parentorg | National Taiwan Ocean University,NTOU | - |
crisitem.author.parentorg | Center of Excellence for Ocean Engineering | - |
顯示於: | 河海工程學系 |
在 IR 系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。