@inproceedings{548522af63b440679c113e3d1c2ac451,
title = "Nodal integral method for arbitrary hexahedral elements applied to 3D convection-diffusion equation",
abstract = "In this paper, the applicability of nodal integral methods (NIM) is extended to arbitrary 3D geometries discritized using hexahedral elements. The iso-parametric mapping approach is used to transform the hexahedral elements to a simple cube where traditional NIM can be applied. The method developed in this paper is applied to steady-state, 3D convection-diffusion equation. The governing equation as well as the continuity conditions at the interfaces between the adjacent elements are transformed to the new coordinate system. The method developed here is validated by solving a problem using various distorted domains. The results show that the accuracy of the scheme depends on the degree of the distortion. In addition, extreme distortion of the elements reduces the order of accuracy from second to first order.",
keywords = "Arbitrary geometry, Convection-diffusion, Hexahedral, NIM, Nodal integral methods",
author = "Ibrahim Jarrah and Rizwan-Uddin",
note = "Publisher Copyright: {\textcopyright} 2019 American Nuclear Society. All rights reserved.; 2019 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019 ; Conference date: 25-08-2019 Through 29-08-2019",
year = "2019",
language = "English (US)",
series = "International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019",
publisher = "American Nuclear Society",
pages = "1260--1269",
booktitle = "International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019",
}