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: | In this contribution, we address the numerical solutions of high-order asymptotic equivalent partial differential equations with the results of a lattice Boltzmann scheme for an inhomogeneous advection problem in one spatial dimension. We first derive a family of equivalent partial differential equations at various orders, and we compare the lattice Boltzmann experimental results with a spectral approximation of the differential equations. For an unsteady situation, we show that the initialization scheme at a sufficiently high order of the microscopic moments plays a crucial role to observe an asymptotic error consistent with the orderof approximation. For a stationary long-time limit, we observe that the measured asymptotic error converges with a reduced order of precision compared to the one suggested by asymptotic analysis. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.19231 |
| رقم الأكسشن: | edsarx.2403.19231 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |