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矩阵初等变换的非数值建模及应用研究
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作者 易法令 张皓明 熊伟 《计算机与现代化》 2009年第11期22-25,共4页
通过分析矩阵初等变换的一般应用,本文建立一个记录矩阵初等变换过程的记录模型。该记录模型不仅能记录矩阵变换过程的所有参数,同时也能减少实际应用中矩阵变换的计算量。通过把记录模型应用于求逆矩阵的实际计算,并与传统的单位矩阵... 通过分析矩阵初等变换的一般应用,本文建立一个记录矩阵初等变换过程的记录模型。该记录模型不仅能记录矩阵变换过程的所有参数,同时也能减少实际应用中矩阵变换的计算量。通过把记录模型应用于求逆矩阵的实际计算,并与传统的单位矩阵扩展变换的运算方法进行对比测试。结果表明,记录模型比传统的计算方法效率更高。 展开更多
关键词 矩阵初等变换 非数值建模 逆矩阵
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Modeling of rotational supercavitating evaporator and the geometrical characteristics of supercavity within 被引量:9
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作者 LIKHACHEV Dmitriy S. LI FengChen 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2014年第3期541-554,共14页
In this paper,a rotational supercavitating evaporator(RSCE)was at first modeled by means of theoretical analysis approach.The geometrical characteristics of supercavity in the modeled RSCE were then studied through nu... In this paper,a rotational supercavitating evaporator(RSCE)was at first modeled by means of theoretical analysis approach.The geometrical characteristics of supercavity in the modeled RSCE were then studied through numerical simulations.The current research objectives consist in determination of shape of the supercavitator(which in the plane of rotation generates supercavity occupying the most volume between blades),and location of the area suitable for steam extraction by revealing the inner structure of supercavity.Analytical analysis was performed by solving empirical equations for the shape of RSCE,through which an evaluation of two-dimensional relative position of supercavity trailing edge for different shapes of the supercavitator has been realized.Numerical simulation was then carried out,by numerically solving the unsteady Navier-Stokes equations in their conservation form coupled with the Rayleigh-Plesset cavitation and Shear-Stress Transport turbulence models,for verification of the results obtained from empirical equations.Despite unreliable assumption of applicability of empirical equations we have confirmed similarity of the supercavity shapes obtained by both methods for the same RSCE.Therefore,the shape of supercavitator calculated by using empirical equations is acceptable,which provides a simple but reliable approach for design of RSCE.The inner structure of supercavity obtained by numerical simulation has indicated position and parameters for steam extraction openings for further numerical and experimental studies on the performance of RSCE.Practical application of steam or gas extraction is suggested for solving of some problems associated with cavitating pumping of cryogenic liquid. 展开更多
关键词 SUPERCAVITATION rotational supercavitating evaporator geometrical characteristics theoretical analysis computationalfluid dynamics
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