A 8-neighbor model lattice Boltzmann method applied to mathematical-physical equations
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- 作者：Bo Ana ; bo_alan_an@163.com ; J.M. Bergadà ; b
- 关键词：8-neighbor model ; (9-bit model) ; Lattice Boltzmann method ; Mathematical&ndash ; physical equations
- 刊名：Applied Mathematical Modelling
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：42
- 期：Complete
- 页码：363-381
- 全文大小：3668 K
- 卷排序：42
文摘
New equilibrium distribution functions were derived for the present 9-bit model to solve each target equation. To match with the discrete velocities lattice, the artificial constrains were chosen, they different from previous researchers work. It turns out that the present 9-bit model is numerically more effective and accurate in solving the studied target equations than the previous models evaluated. Numerical results show that the 9-bit model is capable of solving 2D problems with both straight and curved geometries. This 9-bit model can solve the Laplace–Poisson and wave equation in a general way.