کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
472169 698694 2009 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Comparison of analysis techniques for the lattice Boltzmann method
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Comparison of analysis techniques for the lattice Boltzmann method
چکیده انگلیسی

We show that the Chapman–Enskog expansion can be viewed as a special instance of a general expansion procedure which also encompasses other methods like the regular error expansion and multi-scale techniques and that any two expansions which properly describe the lattice Boltzmann solution necessarily coincide up to higher order terms. For a model problem, both the regular error expansion and the Chapman–Enskog expansion are carried out. It turns out that the classical Chapman–Enskog method leads to an unstable equation at super-Burnett order in a parameter regime for which the underlying lattice Boltzmann algorithm is stable. However, our approach naturally allows us to consider variants of the super-Burnett equation which do not suffer from instabilities. The article concludes with a detailed comparison of the Chapman–Enskog and the regular error expansion.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 58, Issue 5, September 2009, Pages 883–897
نویسندگان
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