تقرير
General fourth order Chapman-Enskog expansion of lattice Boltzmann schemes
| العنوان: | General fourth order Chapman-Enskog expansion of lattice Boltzmann schemes |
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| المؤلفون: | Dubois, François, Boghosian, Bruce M, Lallemand, Pierre |
| سنة النشر: | 2023 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis |
| الوصف: | In order to derive the equivalent partial differential equations of a lattice Boltzmann scheme,the Chapman Enskog expansion is very popular in the lattive Boltzmann community. A maindrawback of this approach is the fact that multiscale expansions are used without any clearmathematical signification of the various variables and operators. Independently of thisframework, the Taylor expansion method allows to obtain formally the equivalent partialdifferential equations. In this contribution, we prove that both approaches give identicalresults with acoustic scaling for a very general family of lattice Boltzmann schemes and upto fourth order accuracy. Examples with a single scalar conservation illustrate our purpose. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2302.07535 |
| رقم الأكسشن: | edsarx.2302.07535 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |