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适用于气相爆轰数值模拟的WENO-THINC有限顺风格式

A WENO-THINC Finite Downwind Scheme for the Simulations of Gaseous Detonation

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【作者】 钱琛庚杨同会昝文涛

【Author】 QIAN Chengeng;YANG Tonghui;ZAN Wentao;Petroleum, Oil & Lubricants Department in Army Logistics Academy of PLA;State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology;School of Aerospace Engineering, Tsinghua University;Chinese Academy of Ordnance Sciences;

【通讯作者】 昝文涛;

【机构】 陆军勤务学院油料系北京理工大学爆炸科学与技术国家重点实验室清华大学航天航空学院中国兵器科学研究院

【摘要】 针对WENO (Weighted Essentially Non-oscillatory)有限差分格式数值耗散较大,粗网格下模拟爆轰波位置不准确的问题,构造了高精度低耗散WENO-THINC有限顺风格式,分别使用WENO重构和THINC (Tangent of Hyperbola Interface Capturing)重构计算数值通量,选择与有限顺风通量最为接近的数值通量进行空间离散。该格式在接触间断处只需2~3个过渡点,在保证数值格式的稳定性的同时极大地提高了传统WENO格式在接触间断处的分辨率。数值试验表明,即便使用粗网格计算爆轰波传播问题时,该格式也能获得正确的爆轰波位置,且不会出现非物理结构,这说明其数值耗散很小,相比于传统WENO有限差分格式,更适用于工程尺度气相爆轰数值模拟。

【Abstract】 In response to the problem of high numerical dissipation in the WENO(Weighted Essentially Non-oscillatory) finite difference scheme and inaccurate simulation of detonation wave positions in coarse grids, a high-resolution and low dissipation WENOTHINC finite downwind scheme was constructed. The numerical flux was calculated using WENO reconstruction and THINC(Tangent of Hyperbola Interface Capturing) reconstruction, respectively. The numerical flux closest to the finite downwind flux was selected for spatial discretization. This scheme only requires 2~3 transition points at contact discontinuities, ensuring the stability of the numerical format while greatly improving the resolution of the traditional WENO scheme at contact discontinuities. Numerical experiments show that the scheme can obtain the correct detonation wave position even when using coarse grid to calculate the detonation wave propagation problem, and there is no non-physical structure, which indicates that its numerical dissipation is very small.Compared with the traditional WENO finite difference scheme, it is more suitable for engineering scale numerical simulation of gaseous detonation.

【基金】 火灾与爆炸安全防护重庆市重点实验室(军用油库安全与设施设备评测实验室)开放基金(LQ21KFJJ03);国家自然科学基金(12002043)
  • 【文献出处】 山西大学学报(自然科学版) ,Journal of Shanxi University(Natural Science Edition) , 编辑部邮箱 ,2024年02期
  • 【分类号】O241.3;O381
  • 【网络出版时间】2023-09-15 13:41:00
  • 【下载频次】72
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