hp-Adaptive finite element simulations of viscous flow including convective heat transfer

Wang XL; Pepper DW

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hp-Adaptive finite element simulations of viscous flow including convective heat transfer

机译：hp-包括对流传热的粘性流的自适应有限元模拟

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An hp-adaptive finite element model based on mesh refinement and increasing spectral order is used to solve for viscous flow problems including natural and forced convection. The adaptive FEM produces highly accurate numerical results. An a-posteriori error estimator based on the L-2 norm is employed to guide the adaptive procedure. Example problems include lid-driven cavity viscous flow, natural convection in a differentially heated square enclosure and forced convection over a backward facing step. Results compared with data reported in the literature show excellent agreement.

机译：基于网格细化和增加频谱阶数的hp自适应有限元模型用于解决粘性流问题，包括自然对流和强制对流。自适应有限元法产生高度精确的数值结果。基于L-2范数的后验误差估计器用于指导自适应过程。示例问题包括盖子驱动的腔体粘性流动，在差热加热的方形外壳中的自然对流以及在朝后的台阶上的强制对流。结果与文献报道的数据相比显示出极好的一致性。

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《Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology》 |2007年第6期|共23页
作者
Wang XL; Pepper DW;
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正文语种 eng
中图分类热力工程、热机;
关键词
NAVIER-STOKES EQUATIONS; BACKWARD-FACING STEP; DRIVEN CAVITY FLOW; NATURAL-CONVECTION; INCOMPRESSIBLE FLOWS; NUMERICAL-SIMULATION; COMPRESSIBLE FLOW; FORCED-CONVECTION; SQUARE CAVITY; STRATEGY;

机译：Navier-Stokes方程;向后步;驱动腔流;自然对流;不可压缩流;数值模拟;可压缩流;强制对流;平方腔;策略;

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专利

1. hp-Adaptive finite element simulations of viscous flow including convective heat transfer [J] . Wang XL, Pepper DW Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology . 2007,第5a6期

机译：hp-包括对流传热的粘性流的自适应有限元模拟
2. Combined effect of magnetic field and heat absorption on unsteady free convection and heat transfer flow in a micropolar fluid past a semi-infinite moving plate with viscous dissipation using element free Galerkin method [J] . Sharma R., Bhargava R., Singh I.V. Applied mathematics and computation . 2010,第1期

机译：磁场和热吸收对微极性流体中流过半无限运动板的非稳态自由对流和传热的综合影响，采用无元素Galerkin方法进行粘性耗散
3. Finite Element Analysis of Heat and Mass Transfer of an Unsteady MHD Natural Convection Flow of a Rotating Fluid Past a Vertical Porous Plate in the Presence of Radiative Heat Transfer [J] . J. Anand Rao, B. Prabhakar Reddy Journal of Energy, Heat and Mass Transfer . 2010,第3期

机译：存在辐射传热的旋转流体通过垂直多孔板的非定常MHD自然对流的传热和传质的有限元分析
4. AN HP-ADAPTIVE FINITE ELEMENT MODEL FOR CONVECTIVE HEAT TRANSFER IN AN ATTIC SPACE [C] . Xiuling Wang, Darrell W. Pepper, American Society of Mechanical Engineers(ASME), ASME International Mechanical Engineering Congress and Exposition . 2007

机译：一种阁楼空间对流热传递的HP自适应有限元模型
5. Projection algorithm for the finite-element simulation of fluid flows at high levels of convection. [D] . Caballero, Angel C. 2002

机译：高水平对流中流体流动的有限元模拟的投影算法。
6. On the Influence of Soret and Dufour Effects on MHD Free Convective Heat and Mass Transfer Flow over a Vertical Channel with Constant Suction and Viscous Dissipation [O] . Ime Jimmy Uwanta, Halima Usman 2014

机译：Soret和Dufour效应对恒定吸力和粘性耗散的垂直通道上MHD自由对流传热和传质的影响
7. Discussion: “Force Convection Heat Transfer at an Inclined and Yawed Square Plate—Application to Solar Collectors” (Sparrow, E. M., and Tien, K. K., 1977, ASME J. Heat Transfer, 99, pp. 507–512) and “Local Heat Transfer and Fluid Flow Characteristics for Airflow Oblique or Normal to Square Plate” (Tien, K. K., and Sparrow, E. M., 1979, Internation Journal of Heat and Mass Transfer, 22, pp. 349–359) and “Effect of Finite Width on Heat Transfer and Fluid Flow about an Inclined Rectangular Plate” (Sparrow, E. M., Ramsey, J. W., and Mass, E. A., 1979, ASME J. Heat Transfer, 101, pp. 199–204) [O] . B. Nimmo, S. Zubair 1981

机译：讨论：“在倾斜和偏航的方形板应用于太阳能收集器的强制对流传热”（Sparrow，EM和Tien，KK，1977，Asme J.传热，99，PP。507-512）和“局部热量用于气流倾斜或正常板的转移和流体流动特性“（Tien，KK和Sparrow，EM，1979，热量和传质杂志，22，pp.349-359）和”有限宽度对热量的影响关于倾斜矩形板的转移和流体流动“（Sparrow，EM，Ramsey，JW和Mass，EA，1979，ASME J.传热，101，PP。199-204）
8. A p-version finite element method for steady incompressible fluid flow and convective heat transfer [R] . Winterscheidt, Daniel L. 1993

机译：稳态不可压缩流体流动和对流换热的ap-version有限元方法

hp-Adaptive finite element simulations of viscous flow including convective heat transfer

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