本文選題：初值外插　切入點(diǎn)：非定常流場(chǎng)求解　出處：《西北工業(yè)大學(xué)學(xué)報(bào)》2016年01期

【摘要】：基于非定常流場(chǎng)的雙時(shí)間求解方法,提出了一種提高非定常流場(chǎng)求解效率的有效策略。通過(guò)對(duì)前幾個(gè)時(shí)刻的流場(chǎng)信息進(jìn)行外插來(lái)確定下一時(shí)刻的迭代初值,使之更接近于收斂解,降低內(nèi)迭代初始?xì)堉?進(jìn)而提高了非定常流場(chǎng)的求解效率。將流場(chǎng)中每個(gè)點(diǎn)的守恒量在時(shí)間方向上進(jìn)行泰勒級(jí)數(shù)展開,設(shè)計(jì)了若干種外插格式。采用繞圓柱非定常流動(dòng)的求解來(lái)驗(yàn)證本方法的計(jì)算效果,并研究了不同初值外插格式、空間離散格式、時(shí)間步長(zhǎng)和收斂標(biāo)準(zhǔn)對(duì)初值外插方法效果的影響。研究表明,在雙時(shí)間步法基礎(chǔ)上,采用初值外插策略可普遍提高計(jì)算效率,其中交替外插策略可以普遍將求解效率提高1倍左右。相比于迎風(fēng)格式,該方法對(duì)中心格式的求解效率提高更顯著,并且對(duì)于不同的收斂標(biāo)準(zhǔn)和時(shí)間步數(shù)均有非常明顯的效果。
[Abstract]:Based on the two-time solution method of unsteady flow field, an effective strategy to improve the efficiency of solving unsteady flow field is proposed. The initial iteration value of the next moment is determined by extrapolating the flow field information of the previous time. By making it closer to the convergence solution and reducing the initial residual value of the internal iteration, the efficiency of solving the unsteady flow field is improved. The Taylor series expansion of the conserved quantity of each point in the flow field is carried out in the time direction. Several extrapolation schemes are designed. The solution of unsteady flow around a cylinder is used to verify the results of this method, and the different initial extrapolation schemes, spatial discrete schemes, are studied. The effect of time step size and convergence criterion on the effect of initial value extrapolation method is studied. It is shown that based on the dual time step method, the calculation efficiency can be generally improved by using the initial value extrapolation strategy. The alternative extrapolation strategy can generally increase the efficiency of the solution by about twice as much as that of the upwind scheme. Compared with the upwind scheme, the method can improve the efficiency of the central scheme more significantly, and has a very obvious effect on the different convergence criteria and the number of time steps.
【作者單位】： 西北工業(yè)大學(xué)航空學(xué)院;
【分類號(hào)】：O35

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相關(guān)期刊論文 前3條

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本文編號(hào)：1672835