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对流扩散方程的保正守恒特征有限体积法研究 被引量:1
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作者 李昕姝 付凯 《中国海洋大学学报(自然科学版)》 CAS CSCD 北大核心 2022年第8期89-96,110,共9页
本文通过结合特征线方法、保正守恒插值和局部限制器,提出了求解对流占优扩散方程的时空二阶保正守恒特征有限体积法,给出了保正性和守恒性的理论分析。该格式克服了对时间步长的严格限制,所得数值解具有时空二阶精度,且满足保正性和守... 本文通过结合特征线方法、保正守恒插值和局部限制器,提出了求解对流占优扩散方程的时空二阶保正守恒特征有限体积法,给出了保正性和守恒性的理论分析。该格式克服了对时间步长的严格限制,所得数值解具有时空二阶精度,且满足保正性和守恒性。数值算例表明了该方法的精度和效果。 展开更多
关键词 对流扩散方程 对流占优 特征有限体积法 保正性 质量守恒
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非线性对流占优扩散方程的特征有限体积算法 被引量:1
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作者 龚春琼 秦新强 +1 位作者 魏红记 张爱君 《纺织高校基础科学学报》 CAS 2006年第1期39-42,共4页
对于非线性对流占优扩散方程,利用特征线法和有限体积法,构造了特征有限体积算法,并进行了误差分析.理论分析和数值算例表明,在收敛阶保持不变的情况下,此算法既消除了数值震荡现象,又达到了简化计算的目的.
关键词 对流扩散方程 特征有限体积法 误差估计
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对流扩散方程的特征有限体积两重网格算法与误差估计
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作者 龚春琼 秦新强 张爱君 《西安理工大学学报》 CAS 北大核心 2010年第2期228-232,共5页
对于非线性对流扩散方程,构造了特征有限体积算法格式,再用两重网格算法计算非线性系统,先通过非线性迭代求出粗网格ΔH上的解uH,再利用粗网格上的解uH将问题线性化并求出细网格Δh上的近似解h(H>h)。理论分析及数值例子的计算结... 对于非线性对流扩散方程,构造了特征有限体积算法格式,再用两重网格算法计算非线性系统,先通过非线性迭代求出粗网格ΔH上的解uH,再利用粗网格上的解uH将问题线性化并求出细网格Δh上的近似解h(H>h)。理论分析及数值例子的计算结果均表明,在收敛阶保持不变的情况下,此算法既可消除非线性对流占优扩散问题数值震荡现象,又可简化计算,提高计算效率。 展开更多
关键词 对流占优扩散方程 特征有限体积法 两重网格算 误差估计
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Numerical investigation on flow and heat transfer characteristics of corrugated tubes with non-uniform corrugation in turbulent flow 被引量:1
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作者 Dongwei Zhang Hanzhong Tao +1 位作者 Yuan Xu Zishuai Sun 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2018年第3期437-444,共8页
Based on finite volume method, the pressure drop and heat transfer characteristics of one smooth tube and ten different axisymmetric corrugated tubes, including two with uniform corrugation and eight with non-uniform ... Based on finite volume method, the pressure drop and heat transfer characteristics of one smooth tube and ten different axisymmetric corrugated tubes, including two with uniform corrugation and eight with non-uniform corrugation, have been studied. A physical model of the corrugated tube was built, then the numerical simulation of the model was carried out and the numerical simulation results were compared with the empirical formula.The results show that: the friction factor decreases with the increase of Reynolds number ranging from 6000 to 57000, the value of which in the corrugated tubes with non-uniform corrugation(tube 03–10) are smaller than those with uniform corrugation(tube 01–02). The geometry parameters of tube(01) have advantages on the heat transfer enhancement in low Reynolds number flow region(from 6000 to 13000) and tube(07–08)have advantages on the heat transfer enhancement in high Reynolds number flow region(from 13000 to 57000). The vortex, existed in each area between two adjacent corrugations called second flow region, is the root of the enhancement on heat transfer in the corrugated tubes. The effectiveness factor decreases with the increasing of Reynolds number and the performances of the corrugated tubes with pitch of 12.5 mm have advantages than these of 10 mm under the same corrugation geometric parameter. 展开更多
关键词 Numerical simulation Corrugated tube Non-uniformed corrugation Turbulent flow
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