CAJ | 학술논문

近年来对新型反应堆中广泛应用的混合氧化物(MOX)燃料的研究表明,中子通量密度在该型燃料栅元中随角度的分布呈现出剧烈的震荡,传统的角度离散方法很难对其进行很好的逼近.本研究利用具有紧支、正交特点的Daubechies小波离散中子输运方程的角度变量,建立了中子输运方程小波基函数展开的理论模型.将小波展开与离散纵标方法相结合,解决了二维张量积小波展开引入的大规模通量矩耦合问题,降低了耦合规模,实现了二维高阶小波展开的数值求解.数值校验证明:中子输运方程小波分析方法可以高精度地模拟复杂中子通量密度随角度的分布.
근년래대신형반응퇴중엄범응용적혼합양화물(MOX)연료적연구표명,중자통량밀도재해형연료책원중수각도적분포정현출극렬적진탕,전통적각도리산방법흔난대기진행흔호적핍근.본연구이용구유긴지、정교특점적Daubechies소파리산중자수운방정적각도변량,건립료중자수운방정소파기함수전개적이론모형.장소파전개여리산종표방법상결합,해결료이유장량적소파전개인입적대규모통량구우합문제,강저료우합규모,실현료이유고계소파전개적수치구해.수치교험증명:중자수운방정소파분석방법가이고정도지모의복잡중자통량밀도수각도적분포.
The recent studies on the MOX fuel cell calculation indicated that the angular flux is a bumpy and irregular function, which is difficult to be represented by using traditional methods. The Daube-chies wavelets, possessing the properties of orthonormality and compact support, are applied in the angular discretization of the neutron transport equation to solve this problem. In order to improve the computational stabilization, a coupled S_N and wavelet expansion scheme is applied instead of the common two-dimensional wavelet expansion. Numerical results demonstrated that this method is accurate and applicable for both tradi-tional and challenging problems.