本文選題：協(xié)調(diào)算法 + SIMPLER算法　； 參考：《工程熱物理學(xué)報(bào)》2016年06期

【摘要】：本文提出了一種兩次求解質(zhì)量守恒方程、速度與壓力協(xié)調(diào)的求解不可壓縮流體流動(dòng)與傳熱問題的算法。它采用與SIMPLER求解壓力相似的方式,將不含亞松弛因子的離散動(dòng)量方程轉(zhuǎn)化為假擬速度與壓力差的函數(shù),代入到離散質(zhì)量守恒方程中得到壓力方程,以解決壓力沒有控制方程的問題。通過兩次計(jì)算假擬速度和求解質(zhì)量守恒方程,獲得同時(shí)滿足質(zhì)量守恒與動(dòng)量守恒的速度和壓力,克服了以往的SIMPLE類算法中每一迭代步中速度和壓力均不滿足動(dòng)量方程的缺點(diǎn)。有限幾個(gè)算例表明,新算法的速度松弛因子對(duì)收斂速度的影響遠(yuǎn)小于SIMPLER算法,在松弛因子接近于1時(shí),收斂速度略低于SIMPLER算法,但松弛因子低于0.8時(shí),收斂時(shí)間與迭代次數(shù)則遠(yuǎn)小于SIMPLER,算法。
[Abstract]:This paper presents an algorithm for solving the incompressible fluid flow and heat transfer problem by solving the mass conservation equation with the coordination of velocity and pressure. The discrete momentum equation without subrelaxation factor is transformed into a function of pseudo-velocity and pressure difference, and the pressure equation is obtained in the discrete mass conservation equation. To solve the problem that pressure has no governing equation. By calculating the pseudo velocity twice and solving the mass conservation equation, the velocity and pressure satisfying both mass conservation and momentum conservation are obtained, which overcomes the shortcoming that the velocity and pressure in every iteration of simple algorithm are not satisfied with momentum equation. A limited number of examples show that the effect of the new algorithm on the convergence rate is much smaller than that of the simple algorithm. When the relaxation factor is close to 1, the convergence rate is slightly lower than that of the simple algorithm, but the relaxation factor is less than 0.8. The convergence time and iteration times are much less than simple algorithm.
【作者單位】： 中國(guó)石油大學(xué)儲(chǔ)運(yùn)與建筑工程學(xué)院;中國(guó)石化勝利油田分公司勝利發(fā)電廠;
【基金】：國(guó)家自然科學(xué)基金項(xiàng)目(No.51276199) 國(guó)家科技重大專項(xiàng)(No.2011ZX05017-004-HZ01)
【分類號(hào)】：TK124

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1 楊官平,胡滿銀,高香林,潘朝紅,田賀忠;求解壓力耦合方程的全隱算法——CIMPLE算法[J];中國(guó)電機(jī)工程學(xué)報(bào);1999年04期

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本文編號(hào)：2019332