CAJ | 학술논문

引入阶谱与自适应技术，将p型有限元法应用于水管冷却混凝土温度场的仿真计算，通过对单元升阶谱，以扩大容许函数空间来提高数值解精度，并编制了p型自适应有限元计算程序。针对同一计算模型，分别采用不同网格密度的常规有限元法和p型有限元法进行了水管冷却混凝土温度场的计算分析和对比研究。结果表明，p型有限元法的计算结果在网格稀疏的情况下仍然能够达到较高的精度，特征点温度时程线和温度场等值线与精细算法值吻合得较好，而常规有限元法则误差相对较大。同时，采用p型有限元法进行水管冷却混凝土温度场模拟，可以在保证计算精度的前提下减少单元数量，从而降低前处理的难度、工作量以及计算的时间成本。
인입계보여자괄응기술，장p형유한원법응용우수관냉각혼응토온도장적방진계산，통과대단원승계보，이확대용허함수공간래제고수치해정도，병편제료p형자괄응유한원계산정서。침대동일계산모형，분별채용불동망격밀도적상규유한원법화p형유한원법진행료수관냉각혼응토온도장적계산분석화대비연구。결과표명，p형유한원법적계산결과재망격희소적정황하잉연능구체도교고적정도，특정점온도시정선화온도장등치선여정세산법치문합득교호，이상규유한원법칙오차상대교대。동시，채용p형유한원법진행수관냉각혼응토온도장모의，가이재보증계산정도적전제하감소단원수량，종이강저전처리적난도、공작량이급계산적시간성본。
Introducing hierarchical and adaptive technique, increasing the order of hierarchical and expand-ing the space of basis function to improve the numerical precision,the 3D p-version hierarchical finite ele-ment method(FEM) and corresponding finite element program of concrete cooling pipe temperature field are proposed and compiled. For a same calculation model, the different mesh density of the traditional FEM and p-version hierarchical FEM is used for analysis and comparative study of concrete cooling pipe tempera-ture field. The comparison of the calculation results shows that the p-version hierarchical finite element method brings better precision with a coarse grid in unsteady cooling pipe temperature field analysis. At the same time, under the condition of the same computational precision, the element number can be re-duced,so that the time consumption for preprocess and computation is obviously reduced.