کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
470078 698388 2008 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Advection–diffusion lattice Boltzmann scheme for hierarchical grids
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Advection–diffusion lattice Boltzmann scheme for hierarchical grids
چکیده انگلیسی

In this paper we describe an extension of a recently developed lattice Boltzmann method for solving the advection–diffusion equation. Our proposed approach allows to couple grids of different grid resolutions and includes a staggered timestepping scheme, interpolations in space and time and finally a scaling step ensuring the continuity of the desired macroscopic quantities across the grid interface.After validating the basic lattice Boltzmann method on a uniform grid by a convergence study of analytic problems we demonstrate the consistency of our approach by solving benchmark problems and comparing results on uniform grids and multiply locally refined grids.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 55, Issue 7, April 2008, Pages 1576–1584
نویسندگان
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