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首页> 外文期刊>Engineering analysis with boundary elements >A meshless BEM for solving transient non-homogeneous convection-diffusion problem with variable velocity and source term
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A meshless BEM for solving transient non-homogeneous convection-diffusion problem with variable velocity and source term

机译：具有可变速度和源术语的瞬态非均相对流扩散问题的无丝绒BEM

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摘要

In this paper, a meshless BEM based on the radial integration method is developed to solve transient non-homogeneous convection-diffusion problem with spatially variable velocity and time-dependent source term. The Green function served as the fundamental solution is adopted to derive the boundary domain integral equation about the normalized field quantity. The two-point backward finite difference technique is utilized to discretize the time-dependent terms in the integral equation, which results in that the final integral equation formulation is only related with the normalized field quantity at the current time and has three domain integrals. Both two domain integrals regarding the normalized field quantity at the current and previous times are transformed into boundary integrals by using radial integration method and radial basis function approximation. For domain integral about the source term being known function of time and coordinate, radial basis functions approximation is still adopted to make the transformed boundary integral be evaluated only once, not at each time level. A pure boundary element algorithm with boundary-only discretization and internal points is established and the system of equations is assembled like the corresponding steady problem. Four numerical examples are given to demonstrate the accuracy and effectiveness of the present method.
机译：在本文中，开发了基于径向积分法的无网格BEM，以解决具有空间可变速度和时间依赖性源期限的瞬态非均匀对流扩散问题。采用绿色函数作为基本解决方案来导出归一化场数量的边界域积分方程。双点向后有限差分技术用于离散方程中的时间依赖项，这导致最终积分方程式制定仅与当前时间的归一化场数量有关，并且具有三个域积分。通过使用径向积分方法和径向基函数近似，关于电流的归一化场数量和前一次的归一化场数量的两个域积分被转换为边界积分。对于关于所知的源期限的域积分，所知的时间和坐标函数，径向基函数仍然采用近似值来使变换边界积分仅被评估一次，而不是每次级别。建立了仅限于边界离散化和内部点的纯边界元算法，并且等式系统被组装如相应的稳态问题。给出了四个数值例子来证明本方法的准确性和有效性。

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  • 来源
    《Engineering analysis with boundary elements》 |2020年第12期|65-75|共11页
  • 作者

    Hai-Feng Peng; Kun Liu; Miao Cui; Xiao-Wei Gao;

  • 作者单位

    School of Aeronautics and Astronautics Dalian University of Technology Dalian 116024 China Key Laboratory of Advanced Technology for Aerospace Vehicles of Liaoning Province Dalian University of Technology Dalian 116024 China;

    School of Aeronautics and Astronautics Dalian University of Technology Dalian 116024 China;

    School of Aeronautics and Astronautics Dalian University of Technology Dalian 116024 China Key Laboratory of Advanced Technology for Aerospace Vehicles of Liaoning Province Dalian University of Technology Dalian 116024 China;

    School of Aeronautics and Astronautics Dalian University of Technology Dalian 116024 China Key Laboratory of Advanced Technology for Aerospace Vehicles of Liaoning Province Dalian University of Technology Dalian 116024 China State Key Laboratory of Structural Analysis for Industrial Equipment Dalian University of Technology Dalian 116024 China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Convection-diffusion; Non-homogeneous; Radial integration BEM; Space and time dependent source term; Spatially variable velocity;

    机译：对流扩散;非均匀;径向集成BEM;空间和时间依赖源期限;空间可变速度;

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