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A streamlined meshless method handling Helmholtz equation on 3D geometries

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Authors A streamlined meshless method handling Helmholtz equation on 3D geometries

  Sayed Mohamad Mirfatah - Isfahan University of Technology, Department of Civil Engineering
  Bijan Boroomand - Isfahan University of Technology, Department of Civil Engineering

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).

Keywords:

3D Helmholtz equation, rational Exponential Basis Functions, meshless method.

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COI code: SECM03_160

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Mirfatah, Sayed Mohamad & Bijan Boroomand, 2019, A streamlined meshless method handling Helmholtz equation on 3D geometries, rd International Conference on Applied Researches in Structural Engineering and Construction Management (secm2019), تهران, دانشگاه صنعتي شريف, https://www.civilica.com/Paper-SECM03-SECM03_160.htmlInside the text, wherever referred to or an achievement of this article is mentioned, after mentioning the article, inside the parental, the following specifications are written.
First Time: (Mirfatah, Sayed Mohamad & Bijan Boroomand, 2019)
Second and more: (Mirfatah & Boroomand, 2019)
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Type: state university
Paper No.: 12554
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