航空工程进展
航空工程進展
항공공정진전
ADVANCES IN AERONAUTICAL SCIENCE AND ENGINEERING
2012年
3期
274-278
,共5页
流体网络%节点残量修正%收敛性和稳定性%赋值规律%隐式梯形迭代
流體網絡%節點殘量脩正%收斂性和穩定性%賦值規律%隱式梯形迭代
류체망락%절점잔량수정%수렴성화은정성%부치규률%은식제형질대
fluid network%node residue correction%convergence and stability%principle of setting initial values%implicit trapezoid iteration
为了提高流体网络求解的收敛性与稳定性，对网络节点残量修正算法进行改进。基于理论分析，提出使残量修正算法大范围收敛的初值赋值规律，并通过简单模型的数值分析加以验证；在节点残量修正显式迭代的基础上，提出隐式梯形迭代格式，扩大最大迭代步长。基于改进方法，以某典型航空发动机空气系统为例进行计算，获得空气系统各节点的压力、温度以及各支路的质量流量。该计算过程显示，相对于残量修正显式迭代，改进计算振荡大幅度减弱，收敛速度提高了80％以上。结果表明：改进算法有效地提高了流体网络求解的稳定性和收敛性。
為瞭提高流體網絡求解的收斂性與穩定性，對網絡節點殘量脩正算法進行改進。基于理論分析，提齣使殘量脩正算法大範圍收斂的初值賦值規律，併通過簡單模型的數值分析加以驗證；在節點殘量脩正顯式迭代的基礎上，提齣隱式梯形迭代格式，擴大最大迭代步長。基于改進方法，以某典型航空髮動機空氣繫統為例進行計算，穫得空氣繫統各節點的壓力、溫度以及各支路的質量流量。該計算過程顯示，相對于殘量脩正顯式迭代，改進計算振盪大幅度減弱，收斂速度提高瞭80％以上。結果錶明：改進算法有效地提高瞭流體網絡求解的穩定性和收斂性。
위료제고류체망락구해적수렴성여은정성，대망락절점잔량수정산법진행개진。기우이론분석，제출사잔량수정산법대범위수렴적초치부치규률，병통과간단모형적수치분석가이험증；재절점잔량수정현식질대적기출상，제출은식제형질대격식，확대최대질대보장。기우개진방법，이모전형항공발동궤공기계통위례진행계산，획득공기계통각절점적압력、온도이급각지로적질량류량。해계산과정현시，상대우잔량수정현식질대，개진계산진탕대폭도감약，수렴속도제고료80％이상。결과표명：개진산법유효지제고료류체망락구해적은정성화수렴성。
In order to enhance stability and convergence of solving fluid network, the network node residue cor- rection algorithm is investigated. Based on theory analysis, a principle of setting initial values for network is put forward which enables the algorithm to converge in large scale. Implicit trapezoid iteration formula is advanced on the foundation of node residue correction explicit expression, making maximum iterative step expand a lot. One certain aero engine secondary air system is computed with the improved algorithm above as an example, whose pressure distribution, temperature distribution and mass f~ow distribution are obtained. The computation process shows that calculation oscillation is greatly reduced and convergence speed is improved by more than 80% compared with the explicit iteration. It indicates that the improved algorithm ameliorates stability and con- vergence of solving fluid networks effectively.
