A streamlined meshless method handling Helmholtz equation on 3D geometries
Publish place: 3rd International Conference on Applied Researches in Structural Engineering and Construction Management (secm2019)
Publish Year: 1398
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
SECM03_160
تاریخ نمایه سازی: 9 شهریور 1398
Abstract:
We apply a modified meshless discretization scheme to the Helmholtz equation on 3D geometries. The rational Exponential Basis Functions (EBFs) and Non-Uniform Rational B-Splines (NURBS) are efficiently utilized to approximate the solution and geometry, respectively. The scheme is based on interpolation of the solution via collocating the rational EBFs on a sample cloud of regular nodes. The resulting library rational shape functions are effectively used to enforce the compatibility and boundary conditions in the internal and boundary clouds conforming to the domain boundaries. The accuracy of the method is demonstrated through comparing the results to Finite Element Method (FEM).
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Authors
Sayed Mohamad Mirfatah
Isfahan University of Technology, Department of Civil Engineering
Bijan Boroomand
Isfahan University of Technology, Department of Civil Engineering