کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
472168 698694 2009 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Smooth initialization of lattice Boltzmann schemes
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Smooth initialization of lattice Boltzmann schemes
چکیده انگلیسی

Lattice Boltzmann methods are paradigmatic discrete evolutions with incomplete initial conditions. This is due to the fact that the variables of the (mesoscopic) method outnumber the variables of the (macroscopic) problem to be solved. In such situations, most initializations which are compatible with the given macroscopic data lead to solutions with oscillatory or steep initial layers. In order to reduce such initial effects, we present a general approach to construct initial values which are compatible with the partial information available, and which guarantee a smooth start of the evolution. Our smoothness condition prescribes the unknown initial values as the polynomial backward extrapolation of the values obtained from a few time steps. Specifically for constant and linear extrapolation, we study the consistency, stability and accuracy of the approach in the case of a lattice Boltzmann method for one-dimensional advection. Moreover, the applicability of a simple iteration scheme as the solution method is investigated.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 58, Issue 5, September 2009, Pages 867–882
نویسندگان
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