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An accelerated conservative sharp-interface method for multiphase flows simulations
Journal of Computational Physics ( IF 4.1 ) Pub Date : 2020-11-24 , DOI: 10.1016/j.jcp.2020.110021
Tian Long , Jinsheng Cai , Shucheng Pan

In this paper, we develop an accelerated conservative sharp-interface method for multiphase flows simulations. Traditional multiphase simulation methods use the minimum time step of all fluids obtained according to the CFL conditions to evolve the fluid states, which limits the computational efficiency, as the sound speed of one fluid may be much larger than of others. To address this issue, based on the original conservative sharp-interface methods, the present method is proposed by solving the governing equations of each individual fluid with the corresponding time step. Without violating the numerical stability requirement, the states of one fluid containing larger time-scale features will be evolved with a larger time step. The interaction step between two fluids is solved for synchronization, which is handled by interpolating the intermediate states of the fluid with larger time steps. In addition, an interfacial flux correction is applied to maintain the conservative property. The present algorithm has be coupled with a wavelet-based adaptive multi-resolution (MR) algorithm to achieve additional computational efficiency. A number of numerical tests indicate that the accuracy of the results obtained by the present method is comparable to of the original costly method, with a significant speedup. The speedup increases with the dimensions and resolution, which indicates its applications in 3D high resolution simulations of multiphase flows.



中文翻译:

用于多相流模拟的加速保守尖锐界面方法

在本文中,我们为多相流仿真开发了一种加速的保守的清晰界面方法。传统的多相模拟方法使用根据CFL条件获得的所有流体的最小时间步长来演化流体状态,这限制了计算效率,因为一种流体的声速可能远大于其他流体的声速。为了解决这个问题,在原始保守的锐界面方法的基础上,通过求解每个单独流体的控制方程式和相应的时间步长,提出了本方法。在不违反数值稳定性要求的情况下,包含较大时标特征的一种流体的状态将以​​较大的时间步长演化。解决了两种流体之间的相互作用步骤以实现同步,通过用较大的时间步长内插流体的中间状态来处理。另外,应用界面通量校正以保持保守性。本算法已经与基于小波的自适应多分辨率(MR)算法结合,以实现额外的计算效率。大量数值测试表明,通过本方法获得的结果的准确性可与原始昂贵方法相媲美,而且速度明显加快。速度随尺寸和分辨率而增加,这表明其在多相流的3D高分辨率模拟中的应用。本算法已经与基于小波的自适应多分辨率(MR)算法结合,以实现额外的计算效率。大量数值测试表明,通过本方法获得的结果的准确性可与原始昂贵方法相媲美,而且速度明显加快。速度随尺寸和分辨率而增加,这表明其在多相流的3D高分辨率模拟中的应用。本算法已经与基于小波的自适应多分辨率(MR)算法相结合,以实现额外的计算效率。大量数值测试表明,通过本方法获得的结果的准确性可与原始昂贵方法相媲美,而且速度明显加快。速度随尺寸和分辨率而增加,这表明其在多相流的3D高分辨率模拟中的应用。

更新日期:2020-11-25
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