تقرير
Numerical approximations of a lattice Boltzmann scheme with a family of partial differential equations
| العنوان: | Numerical approximations of a lattice Boltzmann scheme with a family of partial differential equations |
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| المؤلفون: | Boghosian, Bruce M, Dubois, François, Lallemand, Pierre |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis |
| الوصف: | Is it possible to consider a lattice Boltzmann scheme as an approximation of a partial differential equation? For a nonhomogeneous advection problem in one spatial dimension, we propose equivalent partial differential equations at various orders. We compare the lattice Boltzmann results and a spectral approximation of the differential equations. No simple correlation is obtained for a stationary problem. For an unsteady situation, we show that the initialization scheme of the microscopic moments plays a crucial role. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.19231 |
| رقم الأكسشن: | edsarx.2403.19231 |
| قاعدة البيانات: | arXiv |
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