原子能科学技术
原子能科學技術
원자능과학기술
ATOMIC ENERGY SCIENCE AND TECHNOLOGY
2013年
z2期
494-498
,共5页
张鹏鹤%陈义学%张斌%臧启勇%袁龙军%陈蒙腾
張鵬鶴%陳義學%張斌%臧啟勇%袁龍軍%陳矇騰
장붕학%진의학%장빈%장계용%원룡군%진몽등
中子输运方程%离散纵标方法%ARES%二维输运模块%各项异性散射
中子輸運方程%離散縱標方法%ARES%二維輸運模塊%各項異性散射
중자수운방정%리산종표방법%ARES%이유수운모괴%각항이성산사
neutron transport equation%discrete ordinates%ARES%2-D transport module%anisotropic scattering
基于一阶稳态中子输运方程理论模型,采用离散纵标方法对方向变量进行离散,得到一组差分方程组,应用源迭代法对差分方程组进行求解。基于上述理论,开发了 A RES屏蔽程序二维输运模块。程序实现了中子输运过程 kef和固定源问题的计算,并考虑到各向异性散射问题。本文简要介绍了A RES屏蔽程序二维输运模块的理论模型,并对一系列基准题结果进行了校验计算。在二维沸水堆栅元问题中,A RES屏蔽程序二维输运模块的 kef计算结果与基准结果最大相对误差为0.09%,通量密度最大相对误差为0.60%。针对各向同性和各向异性散射源问题,A RES屏蔽程序二维输运模块与DORT程序计算结果进行对比,整体符合很好。初步验证了 ARES屏蔽程序二维输运模块的正确性,且计算精度较高。
基于一階穩態中子輸運方程理論模型,採用離散縱標方法對方嚮變量進行離散,得到一組差分方程組,應用源迭代法對差分方程組進行求解。基于上述理論,開髮瞭 A RES屏蔽程序二維輸運模塊。程序實現瞭中子輸運過程 kef和固定源問題的計算,併攷慮到各嚮異性散射問題。本文簡要介紹瞭A RES屏蔽程序二維輸運模塊的理論模型,併對一繫列基準題結果進行瞭校驗計算。在二維沸水堆柵元問題中,A RES屏蔽程序二維輸運模塊的 kef計算結果與基準結果最大相對誤差為0.09%,通量密度最大相對誤差為0.60%。針對各嚮同性和各嚮異性散射源問題,A RES屏蔽程序二維輸運模塊與DORT程序計算結果進行對比,整體符閤很好。初步驗證瞭 ARES屏蔽程序二維輸運模塊的正確性,且計算精度較高。
기우일계은태중자수운방정이론모형,채용리산종표방법대방향변량진행리산,득도일조차분방정조,응용원질대법대차분방정조진행구해。기우상술이론,개발료 A RES병폐정서이유수운모괴。정서실현료중자수운과정 kef화고정원문제적계산,병고필도각향이성산사문제。본문간요개소료A RES병폐정서이유수운모괴적이론모형,병대일계렬기준제결과진행료교험계산。재이유비수퇴책원문제중,A RES병폐정서이유수운모괴적 kef계산결과여기준결과최대상대오차위0.09%,통량밀도최대상대오차위0.60%。침대각향동성화각향이성산사원문제,A RES병폐정서이유수운모괴여DORT정서계산결과진행대비,정체부합흔호。초보험증료 ARES병폐정서이유수운모괴적정학성,차계산정도교고。
The 2-D transport module of radiation shielding code ARES is two-dimensional neutron and radiation shielding code .The theory model was based on the first-order steady state neutron transport equation ,adopting the discrete ordinates method to disperse direction variables .Then a set of differential equations can be obtained and solved with the source iteration method .The 2-D transport module of ARES was capable of calculating kef and fixed source problem with isotropic or anisotropic scattering in x-y geometry .The theoretical model was briefly introduced and series of benchmark problems were verified in this paper .Compared with the results given by the benchmark ,the maximum relative deviation of kef is 0.09% and the average relative deviation of flux density is about 0.60% in the BWR cells benchmark problem .As for the fixed source problem with isotropic and anisotropic scattering ,the results of the 2-D transport module of ARES conform with DORT very well .These numerical results of benchmark problems preliminarily demonstrate that the development process of the 2-D transport module of ARES is right and it is able to provide high precision result .