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A new corner boundary condition for the discrete unified gas kinetic scheme
International Journal for Numerical Methods in Fluids ( IF 1.8 ) Pub Date : 2020-11-15 , DOI: 10.1002/fld.4940
Wenqiang Guo 1 , Senyun Liu 2 , Guoxiang Hou 1 , Yang Yu 1
Affiliation  

The implementation of the boundary condition at the corner points is very important. The discontinuities at the corner points propagate in the computational domain and have a great impact on the surrounding points and the global solution in the evolution process, resulting in the poor precision or the unphysical oscillatory behavior. However, it had been a largely under explored domain in the discrete unified gas kinetic scheme (DUGKS) methods. In the last few years, the DUGKS is proposed as a mesoscopic finite volume method with great development potential. In order to improve accuracy and efficiency, this paper proposes a new corner boundary condition for the DUGKS, which is deduced strictly in theory and available to satisfy conservation relations. The new corner boundary condition is validated by three numerical tests: the flow past a square cylinder (external flow), lid‐driven cavity flow (internal flow) and flow past the AUV (nonright angle corner). The results show that the convergence efficiency and accuracy of the DUGKS are improved by the new corner boundary condition.

中文翻译:

离散统一气体动力学方案的新角边界条件

在拐角处执行边界条件非常重要。拐角处的不连续点在计算域中传播,并且对进化过程中的周围点和整体解有很大影响,从而导致精度不佳或不自然的振荡行为。但是,它在离散统一气体动力学方案(DUGKS)方法中一直处于探索领域。在最近的几年中,DUGKS被提出作为一种具有巨大发展潜力的介观有限体积方法。为了提高精度和效率,本文为DUGKS提出了一种新的拐角边界条件,该条件在理论上严格推导并可以满足守恒关系。新的边角边界条件通过三个数值测试得到验证:通过方筒的流量(外部流量),盖驱动的腔体流量(内部流量)和通过AUV的流量(非直角拐角)。结果表明,新的角边界条件提高了DUGKS的收敛效率和精度。
更新日期:2020-11-15
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