计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2010年
3期
23-26
,共4页
稳定性%多尺度分析%均场方程%拟谱算法
穩定性%多呎度分析%均場方程%擬譜算法
은정성%다척도분석%균장방정%의보산법
stability%multiscale analysis%mean-field eqnations%pseudospectral algorithm
为了研究小尺度不可压缩周期流的稳定性,应用多尺度分析方法获得控制其扰动流的大尺度均场方程.对稳态平行流,根据均场方程得到控制大尺度扰动流稳定性的涡流粘性系数.为了验证多尺度理论预测的正确性,采用可以避免速度场和压力场失耦且具有高精度的时间分裂拟谱算法,对不同参数和初始条件下的均场方程以及原始扰动流控制方程进行了数值求解.
為瞭研究小呎度不可壓縮週期流的穩定性,應用多呎度分析方法穫得控製其擾動流的大呎度均場方程.對穩態平行流,根據均場方程得到控製大呎度擾動流穩定性的渦流粘性繫數.為瞭驗證多呎度理論預測的正確性,採用可以避免速度場和壓力場失耦且具有高精度的時間分裂擬譜算法,對不同參數和初始條件下的均場方程以及原始擾動流控製方程進行瞭數值求解.
위료연구소척도불가압축주기류적은정성,응용다척도분석방법획득공제기우동류적대척도균장방정.대은태평행류,근거균장방정득도공제대척도우동류은정성적와류점성계수.위료험증다척도이론예측적정학성,채용가이피면속도장화압력장실우차구유고정도적시간분렬의보산법,대불동삼수화초시조건하적균장방정이급원시우동류공제방정진행료수치구해.
In order to study the stability of the incompressible small-scale periodic flow,the multiscale analysis method is devel-oped to derive the mean-field equations which govern the transport of large-scale perturbations.On the basis of the mean-field e-quations,the eddy viscosity for stabilities of large scale perturbations is obtained for the parallel time-independent flow.And then, the time-splitting pseudospectral algorithm is used to solve the mean-field equations and the original linearized equations for dif-ferent parameters and initial conditions.The agreements between the direct numerical simulations and the multiscale theoretic pre-dictions demonstrate the multiscale method and the numerical algorithm are effective.
