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1.
有限谱ENO格式在爆轰波数值模拟中的应用   总被引:4,自引:2,他引:2  
使用有限谱ENO(Essentially Non-Oscillatory)格式.采用V.P.Korobeinikov二步化学反应模型.对稀释的化学当量的氢气和氧气混合物中非定常自维持爆轰波进行了二维数值模拟.研究了横波的产生和演化机理,分析了爆轰波的三波结构和传播过程。计算得到的爆轰波参数和结构与以前的计算和实验结果一致。研究表明:有限谱ENO格式可以成功地模拟非定常自维持爆轰波。  相似文献
2.
一维溃坝洪水波的高精度数值模拟   总被引:2,自引:0,他引:2  
将ENO(Essentially Non-Oscillatory)格式和Runge-Kutta时间离散的思想应用于一维Saint-Venant方程组的求解,数值模拟溃坝洪水,得出了水位和流速的沿程分布。经与理论解比较可见,数值解在间断波附近没有出现数值振荡,水位和流速大小均符合较好,表明ENO格式是一类新的高精度无振荡差分格式,采用ENO格式所建立的高分辨率模型能够很好地模拟溃坝波的演进过程。  相似文献
3.
有限谱ENO格式及其应用   总被引:2,自引:0,他引:2  
首先对王健平提出的有限谱法^[1-3]做了进一步的理论研究,发现了一些新的有限谱法的插值基函数组,并互将有限谱法应用在ENO格式中,构造了有限谱ENO计算格式,然后通过对一维Euler方程的几个经典的模型问题和二维湍流与弱激波相互作用问题的数值计算,并且与理论解或准精确解进行比较分析,从而表明了此格式对于激波和其他间断具有较高的分辨率,在激波附近基本上没有明显的数值振荡,而且对于流场中的细致结构也具有相当高的精度。  相似文献
4.
5.
This work describes the implementation and analysis of high‐order accurate schemes applied to high‐speed flows on unstructured grids. The class of essentially non‐oscillatory schemes (ENO), that includes weighted ENO schemes (WENO), is discussed in the paper with regard to the implementation of third‐ and fourth‐order accurate methods. The entire reconstruction process of ENO and WENO schemes is described with emphasis on the stencil selection algorithms. The stencils can be composed by control volumes with any number of edges, e.g. triangles, quadrilaterals and hybrid meshes. In the paper, ENO and WENO schemes are implemented for the solution of the dimensionless, 2‐D Euler equations in a cell centred finite volume context. High‐order flux integration is achieved using Gaussian quadratures. An approximate Riemann solver is used to evaluate the fluxes on the interfaces of the control volumes and a TVD Runge–Kutta scheme provides the time integration of the equations. Such a coupling of all these numerical tools, together with the high‐order interpolation of primitive variables provided by ENO and WENO schemes, leads to the desired order of accuracy expected in the solutions. An adaptive mesh refinement technique provides better resolution in regions with strong flowfield gradients. Results for high‐speed flow simulations are presented with the objective of assessing the implemented capability. Copyright © 2007 John Wiley & Sons, Ltd.  相似文献
6.
SUMMARY

The numerical simulation of the gaseous flow originated by a gunshot both during the projectile motion within the muzzle and out of it is considered. The numerical solution of the Euler equations is obtained via a second order accurate ENO scheme. A special algorithm of cells reorganization is developed for computing the projectile motion out of the muzzle. It reveals an interesting property of the ENO schemes and Roe's approximate solution of automatically capturing discontinuities by means of the choice of the corresponding grid velocity. The algorithm developed describes sufficiently well all gasdynamics phenomena which accompany the gunshot.  相似文献
7.
 在分析桩土支撑体系及其相互作用关系的基础上,利用有限元分析软件ANSYS建立了群桩 体系计算模型. 通过对均质土体例题计算结果分析,可以看出利用该建模方法与传统解答有 很好的一致性. 根据辽宁工程技术大学实验馆场地土实测资料,利用该建模方法,求解出了承台与桩的 荷载分担比,对安全、经济地进行群桩基础设计具有重要指导作用和应用价值.  相似文献
8.
The present paper deals with the development of optimized weighted–ENO schemes to improve the resolution of a class of compressible flows characterized by a wide disparity of scales, typical of compressible turbulence and/or aeroacoustic phenomena, and shock waves. The approach relies on a least square minimization of both the dispersion and dissipation error components together with the use of symmetric stencil support. Extensive numerical simulations of sound propagation, shock–sound interaction and isotropic compressible turbulence have been carried out, and the results confirm that the optimized schemes yield a resolution in wave number space greater than the non‐optimized ones. Copyright © 2003 John Wiley & Sons, Ltd.  相似文献
9.
申义庆  高智 《力学学报》2003,35(2):224-229
在基本无振荡格式的构造中,将通常的对流通量f的逼近方式推广到对通量导数的逼近,这一构造方法可以有效地应用到非均匀或非结构网格。直接基于非均匀网格上,构造了一个二阶的基本无振荡(ENO)差分格式,该格式具有形式简单,对网格的划分灵活,对传统格式相比不增加计算量等优点,几个数值算例证明了格式的有效性。  相似文献
10.
IntroductionThemixingflowfieldresultingfromasonicgaseousinjectioninjectedtransverselyintoasupersonicfreestreamisencounteredinmanyfieldssuchasrocketmotorthrustvectorcontrolsystems,supersoniccombustion ,high_speedflightvehiclereactioncontroljets,andgas_t…  相似文献
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