کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10356027 | 867598 | 2014 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Lattice Boltzmann method for the convection-diffusion equation in curvilinear coordinate systems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Lattice Boltzmann method for the convection-diffusion equation in curvilinear coordinate systems Lattice Boltzmann method for the convection-diffusion equation in curvilinear coordinate systems](/preview/png/10356027.png)
چکیده انگلیسی
A lattice Boltzmann method for simulating convection and diffusion using a curvilinear grid system is presented. The proposed method does not require an interpolation or coarse-graining procedure, and thus maintains the algorithmic simplicity of the original lattice Boltzmann scheme. The lattice Boltzmann scheme is based on uniformly distributed lattice points in a transformed coordinate system, and the apparent anisotropy of diffusion that arises due to the coordinate transformation is properly handled using the multiple-relaxation-time collision operator. An asymptotic analysis of the lattice Boltzmann equation shows that the proposed method appropriately reproduces the transformed convection-diffusion equation. Several specific problems are numerically analyzed in order to validate the proposed method, including an axially symmetric (two-dimensional) problem in which the diffusion flux at an oblate hemispheroid is simulated using a body-fitted orthogonal curvilinear grid system.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 257, Part A, 15 January 2014, Pages 884-900
Journal: Journal of Computational Physics - Volume 257, Part A, 15 January 2014, Pages 884-900
نویسندگان
Hiroaki Yoshida, Makoto Nagaoka,