流动与传热问题的高阶紧致差分逼近研究 (田振夫; 梁贤; 葛永斌; 赵秉新; 刘红霞)

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流动与传热问题的高阶紧致差分逼近研究

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3b}W|)`K v0【作者】田振夫; 梁贤; 葛永斌; 赵秉新; 刘红霞 【作者单位】复旦大学; 上海大学; 宁夏大学水利论文t^!@zh1c/h7_|!|

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z } y!usv(w)wY0【论文摘要】 针对黏性不可压缩复杂流动与传热问题的数值模拟,开展了对流扩散问题的指数型高阶紧致差分方法和"导数型"紧致差分逼近的高阶组合格式的研究,建立了求解原始变量和涡量流函数形式的黏性不可压缩 Navier-Stokes 方程组,Navier-Stokes/Boussinesq 方程组等的高精度差分格式与算法,直接数值模拟了驱动方腔流、自然对流换热、双扩散对流、混合流体对流等复杂流动问题.本研究着重介绍近期的研究进展.水利论文1IG%x N0Do@2a

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【英文论文摘要】 Motivated by issues from application and requirements in the future,some studies on high-order compact(HOC)finite difference(FD)approximations for fluid flow and heat transfer have been performed by the present authors'team.Firstly,the high-order compact exponential type (EHOC)FD methods for the steady and unsteady convection-diffusion problems and the combined high-order compact FD schemes have been studied and validated.Then,the HOC schemes and the higher accuracy algorithms for the incompressible Navier-Stokes equations and the incompressible Navier-Stokes/Boussinesq equations have been presented and applied to the direct numerical simulations of two dimensional incompressible driven cavity flow,natural convection heat transfer, double-diffusive convection system and traveling wave convection in binary fluid mixtures.Some significant results have been achieved.In this paper,we will attempt to provide a brief overview on our recent work..水利论文S1DF |-f5?

[+?4pe/dwIS0【论文关键词】 紧致差分格式; 不可压缩流; 流动与传热; 双扩散; 混合流体对流
$[2]X&w*_L"O6^%V`0【英文论文关键词】 compact finite difference schemes; incompressible flow; fluid flow and heat transfer; double diffusive; convection in binary fluid mixture
]`0bHE7j K0【基金】国家自然科学基金项目(10662006,10502026);; 教育部高校优秀青年教师教学科研奖励计划(2001年)资助.水利论文![-dZ:Y5I0x e@.Rs

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