Approach for simulating gas-liquid-like flows under supercritical pressures using a high-order central differencing scheme

Approach for simulating gas-liquid-like flows under supercritical pressures using a high-order central differencing scheme
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DOI:
10.1016/j.jcp.2012.06.021
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发表时间:
2012-08
期刊:
J. Comput. Phys.
影响因子:
--
通讯作者:
H. Terashima;M. Koshi
H. Terashima;M. Koshi
中科院分区:
其他
文献类型:
--
作者:
H. Terashima;M. Koshi

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本研究提出了一种利用高阶格式模拟超临界压力下低温流体混合的方法。在这种方法中,我们引入了压力演化方程,并一致地构造了数值扩散项,以保持流体界面上的速度和压力平衡。在不产生杂散振荡的情况下,成功地捕获了具有高密度和高温比的界面,并采用高阶中心差分格式对流场进行了解析。该方法保留了质量和动量守恒性质,同时承认了较差的能量守恒性质。一维单、多组分界面平流和二维低温射流混合问题表明了该方法相对于传统的全保守方法的优越性和鲁棒性。
This study proposes an approach for simulations of cryogenic fluid mixing under supercritical pressures using high-order schemes. In this approach, we introduce a pressure evolution equation and consistently construct numerical diffusion terms to maintain the velocity and pressure equilibriums at fluid interfaces. The interfaces with high density and temperature ratio are successfully captured without the generation of spurious oscillations, while a high-order central differencing scheme resolves the flow fields. The present method preserves the mass and momentum conservation properties, while the poor energy conservation property is recognized. The one-dimensional single and multi-species interface advection and two-dimensional cryogenic jet mixing problems demonstrate the superiority and robustness of the present method over a conventional fully conservative method.