面向一般状态方程可压缩无粘流的矢量格子玻尔兹曼求解器
Vectorial lattice Boltzmann solver for compressible inviscid flows with generic equation of state
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中文总结 AI 辅助
本文提出一种带时空自适应松弛系数和自适应时间步进的矢量格子玻尔兹曼模型，用于一般状态方程的可压缩欧拉流，在无激波时二阶收敛，能捕获理想及非理想气体动力学。
中文摘要 AI 辅助
我们开发了一种具有时空自适应松弛系数的矢量格子玻尔兹曼模型，并结合自适应时间步进，用于求解具有一般状态方程的可压缩欧拉动力学。该模型由于此处设计的松弛系数的特殊形式，在声学尺度下且无激波时，被证明能以二阶精度收敛到欧拉极限。该求解器具有鲁棒性，能够正确捕获理想和非理想状态方程下的可压缩气体动力学，包括Bethe--Zel'dovich--Thompson区域。这一点通过多种复杂度递增的构型得到了验证和展示。
英文摘要
We develop a vectorial lattice Boltzmann model with a space-time adaptive relaxation coefficient, combined with adaptive time-stepping for compressible Euler dynamics with generic equation of state. The model, due to special form of the relaxation coefficient devised here is shown to converge to the Euler limit with second-order accuracy in the absence of shocks under acoustic scaling. The solver is robust and able to properly capture compressible gas dynamics for both ideal and non-ideal equations of state, including the Bethe--Zel'dovich--Thompson regime. This is verified and demonstrated through a variety of configurations of increasing complexity.
发表机构
- ETH Zürich（苏黎世联邦理工学院）
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