论文标题
多原子分子的椭圆形BGK模型的半拉格朗日方案的收敛估计值
Convergence estimates of a semi-Lagrangian scheme for the ellipsoidal BGK model for polyatomic molecules
论文作者
论文摘要
在本文中，我们为多原子椭圆形BGK模型提出了一种新的半拉格朗日方案。为了避免对流术语和小纳德森数的时间步长限制，我们将半拉格朗日的方法与对流术语结合使用，并对放松期限进行隐式处理。我们展示了如何明确求解隐式步骤，从而为任何Knudsen数字获得了有效稳定的方案。我们还针对Knudsen编号的每个固定值进行了关于建议方案的收敛性的明确误差估计。
In this paper, we propose a new semi-Lagrangian scheme for the polyatomic ellipsoidal BGK model. In order to avoid time step restrictions coming from convection term and small Knudsen number, we combine a semi-Lagrangian approach for the convection term with an implicit treatment for the relaxation term. We show how to explicitly solve the implicit step, thus obtaining an efficient and stable scheme for any Knudsen number. We also derive an explicit error estimate on the convergence of the proposed scheme for every fixed value of the Knudsen number.
