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一阶脉冲偏微分方程──(Ⅰ)脉冲微分不等式定理 被引量:1
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作者 李若冰 《河南大学学报(自然科学版)》 CAS 1995年第4期9-18,共10页
本文综述了过去四年中,在一阶脉冲偏微分方程理论方面所获得的部分成果.介绍了脉冲偏微分方程的一些基本理论和定性性质,同时还给出了适用于这类方程近似解的数值方法.
关键词 脉冲 一阶偏微分方程 微分不等式
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一阶脉冲偏微分方程──(Ⅱ)解的稳定性及差分法
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作者 李若冰 《河南大学学报(自然科学版)》 CAS 1996年第1期1-13,共13页
本文综述了过去四年中,在一阶脉冲偏微分方程理论方面所获得的部分成果介绍了脉冲偏微分方程的一些基本理论和定性性质,同时还给出了适用于这类方程近似解的数值方法.
关键词 偏微分方程 差分法 脉冲偏微分方程 稳定性
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A Thermal-Hydraulic Coolant Channel Module (CCM) for Single- and Two-Phase Flow
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作者 Alois Hoeld 《Applied Mathematics》 2015年第12期2014-2044,共31页
A theoretical “drift-flux based thermal-hydraulic mixture-fluid coolant channel model” is presented. It is the basis to a corresponding digital “Coolant Channel Module (CCM)”. This purpose derived “Separate-Regio... A theoretical “drift-flux based thermal-hydraulic mixture-fluid coolant channel model” is presented. It is the basis to a corresponding digital “Coolant Channel Module (CCM)”. This purpose derived “Separate-Region Mixture Fluid Approach” should yield an alternative platform to the currently dominant “Separate-Phase Models” where each phase is treated separately. Contrary to it, a direct procedure could be established with the objective to simulate in an as general as possible way the steady state and transient behaviour of characteristic parameters of single- and/or (now non-separated) two-phase fluids flowing within any type of heated or non-heated coolant channels. Their validity could be confirmed by a wide range of verification and validation runs, showing very satisfactory results. The resulting universally applicable code package CCM should provide a fundamental element for the simulation of thermal-hydraulic situations over a wide range of complex systems (such as different types of heat exchangers and steam generators as being applied in both conventional but also nuclear power stations, 1D and 3D nuclear reactor cores etc). Thereby the derived set of equations for different coolant channels (distinguished by their key numbers) as appearing in these systems can be combined with other ODE-s and non-linear algebraic relations from additional parts of such an overall model. And these can then to be solved by applying an appropriate integration routine. Within the solution procedure, however, mathematical discontinuities can arise. This due to the fact that along such a coolant channel transitions from single- to two-phase flow regimes and vice versa could take place. To circumvent these difficulties it will in the presented approach be proposed that the basic coolant channel (BC) is subdivided into a number of sub-channels (SC-s), each of them being occupied exclusively by only a single or a two-phase flow regime. After an appropriate nodalization of the BC (and thus its SC-s) and after apply 展开更多
关键词 Applied MATHEMATICS Non-Linear partial differential equations of first order THERMAL-HYDRAULICS of Single- and TWO-PHASE Flow Separate-Region Mixture-Fluid Model Concept
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