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国家自然科学基金(11171281): 作品数：10被引量：11H指数：2; 导出分析报告; 相关作者：李明军李胜男唐树江李桂波蔡振宇更多>>; 相关机构：沈阳师范大学湘潭大学更多>>; 相关期刊：《Science China Mathematics》《Advances in Applied Mathematics and Mechanics》《应用物理前沿（中英文版）》《Numerical Mathematics(Theory,Methods and Applications)》更多>>; 相关主题：解析解打靶法MHDLATTICE_BOLTZMANN_METHODSOLUTION更多>>; 相关领域：理学更多>>

温敏MHD旋转圆盘流动与传热问题数值研究: 《应用力学学报》2018年第2期365-371,共7页李胜男李明军; 国家自然科学基金(11171281);辽宁省自然科学基金(201602673); 研究了温敏三维定常MHD旋转圆盘流动数值解问题。其中热传导系数和粘性系数均是温度的函数。通过物理分析得到Navier-Stokes控制方程组,利用相似变换,将N-S控制方程组转化为常微分方程组,再利用打靶法计算此常微分方程组的数值解。分别...; 关键词：旋转圆盘 MHD流动传热霍尔电流打靶法

A conservative local discontinuous Galerkin method for the solution of nonlinear Schrdinger equation in two dimensions被引量：7: 《Science China Mathematics》2017年第12期2515-2530,共16页ZHANG RongPei YU XiJun LI MingJun LI XiangGui; supported by the Foundation of Liaoning Educational Committee (Grant No. L201604);China Scholarship Council, National Natural Science Foundation of China (Grant Nos. 11571002, 11171281 and 11671044);the Science Foundation of China Academy of Engineering Physics (Grant No. 2015B0101021);the Defense Industrial Technology Development Program (Grant No. B1520133015); In this study, we present a conservative local discontinuous Galerkin(LDG) method for numerically solving the two-dimensional nonlinear Schrdinger(NLS) equation. The NLS equation is rewritten as a firstorder system an...; 关键词：discontinuous Galerkin method nonlinear Schrdinger equation CONSERVATION Krylov implicit integration factor method

考虑变粘性系数的MHD驻点流解析解: 《沈阳师范大学学报（自然科学版）》2017年第1期68-72,共5页李明军李胜男李桂波; 国家自然科学基金资助项目(11171281);辽宁省科技厅自然科学基金资助项目(201502065;201602673); 研究变粘性系数的2维MHD驻点流问题。平板被放置在大小为H0的磁场中,对Navier-Stokes方程组进行计算,其中粘性系数是温度的函数。通过物理分析得到变粘性系数的MHD驻点流动的Navier-Stokes控制方程组。通过相似变换,将控制方程组转化为...; 关键词：驻点流 MHD流变粘性系数相似解打靶法

速度边界层剪切定律（英文）: 《沈阳师范大学学报（自然科学版）》2016年第4期419-425,共7页李明军蔡振宇; Supported by National Natural Science Foundation of China(11171281); 自20C初,路德维希·普朗特提出相关理论以来,边界层理论被人们所熟知。然而,边界层方程的解并不能恰当地描述高雷诺数流体。通过普朗特边界层方程的平均值和脉动值推导出带有脉动函数F的广义的Blasius方程,并且通过理论推导和数值模拟...; 关键词：广义的Blasius方程波动函数边界厚度牛顿线性剪切定律

A Numerical Study of Jet Propulsion of an Oblate Jellyfish Using a Momentum Exchange-Based Immersed Boundary-Lattice Boltzmann Method: 《Advances in Applied Mathematics and Mechanics》2014年第3期307-326,共20页Hai-Zhuan Yuan Shi Shu Xiao-Dong Niu Mingjun Li Yang Hu; the One Hundred Person Project of Hunan Province of China under Xiangtan University,and the Academic Frontier Research Project on”Next Generation Zero-emission Energy Conversion System”of Ministry of Education,Culture,Sports,Science and Technology of Japan,and NSFC Project(Grant No.91130002 and 11171281);Innovative Research Team in University of China(No.IRT1179);Specialized research Fund for the Doctoral Program of Higher Education(Grant No.20124301110003);Hunan Provincial Innovation Foundation for Postgraduate(CX2012B239)。; In present paper,the locomotion of an oblate jellyfish is numerically investigated by using a momentum exchange-based immersed boundary-Lattice Boltzmann method based on a dynamic model describing the oblate jellyfish...; 关键词：Lattice Boltzmann method immersed boundary method momentum exchange oblate jellyfish locomotion

A Novel Finite Volume Scheme with Geometric Average Method for Radiative Heat Transfer Problems: 《应用物理前沿（中英文版）》2013年第4期32-44,共13页Cunyun Nie Haiyuan Yu; This work was partially supported by NSFC Project （Grant No. 11031006, 91130002, 11171281）, the Key Project of Scientific Research Fund of Hunan Provincial Science and Technology Department （Grant No. 2011FJ2011）, Hunan Provincial Natural Science Foundation of China （Grant No. 12JJ3010）.; 关键词：有限体积格式几何平均法辐射换热辐射传热轴对称性数值试验有限体积法调和平均数

Superconvergence and Asymptotic Expansions for Bilinear Finite Volume Element Approximations: 《Numerical Mathematics(Theory,Methods and Applications)》2013年第2期408-423,共16页Cunyun Nie Shi Shu Haiyuan Yu Juan Wu; supported by NSFC Project(Grant No.11031006,91130002,11171281);the Key Project of Scientific Research Fund of Hunan Provincial Science and Technology Department(Grant No.2011FJ2011);Specialized research Fund for the Doctoral Program of Higher Education(Grant No.20124301110003);Program for Changjiang Scholars and Innovative Research Team in University of China(No.IRT1179);Hunan Provincial Natural Science Foundation of China(Grant No.12JJ3010)。; Aiming at the isoparametric bilinear finite volume element scheme,we initially derive an asymptotic expansion and a high accuracy combination formula of the derivatives in the sense of pointwise by employing the energ...; 关键词：Isoparametric bilinear finite volume element scheme asymptotic expansion high accuracy combination formula SUPERCONVERGENCE

Natural Convection in a Concentric Annulus:A Lattice Boltzmann Method Study with Boundary Condition-Enforced Immersed Boundary Method: 《Advances in Applied Mathematics and Mechanics》2013年第3期321-336,共16页Yang Hu Xiao-Dong Niu Shi Shu Haizhuan Yuan Mingjun Li; This work was partially supported by the Key Project of Scientific Research Fund of Hunan Provincial Science and Technology Department(No.2011FJ2011)in China;the Program for Changjiang Scholars and Innovative Research Team in University of China(No.IRT1179);the Scientific Research Fund of Hunan Provincial Education Department(No.12A138);the National Natural Science Fund of China(No.11171281);the Hunan Provincial Innovation For Post Graduate(No.CX2012B264,No.CX2012B239);the One Hundred Person Project of Hunan Province of China under Xiangtan University,and the Academic Frontier Research Project on Next Generation Zero-emission Energy Conversion System of Ministry of Education,Culture,Sports,Science and Technology of Japan.; In this paper,a boundary condition-enforced IBM is introduced into the LBMin order to satisfy the non-slip and temperature boundary conditions,and natural convections in a concentric isothermal annulus between a squar...; 关键词：Lattice Boltzmann method boundary condition-enforced immersed boundary method natural convection

平板层流边界层速度分布的一种最佳近似解析解被引量：3: 《湘潭大学自然科学学报》2013年第1期18-20,共3页唐树江李明军; 国家自然科学基金项目(11171281);湘潭大学自然科学基金项目(09XZX02); 针对层流流动,在王绍亭(1989)提出的指数型速度分布的基础上,提出了一个全新的指数型速度分布.将其代入边界层动量方程后,求得一类精度更高的边界层厚度、任意点的流速、平板总摩擦阻力及摩擦阻力系数与精确解有更好的吻合.; 关键词：平板层流边界层速度分布

An Iterative Two-Grid Method of A Finite Element PML Approximation for the Two Dimensional Maxwell Problem被引量：1: 《Advances in Applied Mathematics and Mechanics》2012年第2期175-189,共15页Chunmei Liu Shi Shu Yunqing Huang Liuqiang Zhong Junxian Wang; This work was partially supported by NSFC Project(Grant No.11031006,91130002,11171281,10971059,11026091);the Key Project of Scientific Research Fund of Hunan Provincial Science and Technology Department(Grant No.2011FJ2011);Hunan Provincial Innovation Foundation for Postgraduate(CX2010B245,CX2010B246).; In this paper,we propose an iterative two-grid method for the edge finite element discretizations(a saddle-point system)of Perfectly Matched Layer(PML)equations to the Maxwell scattering problem in two dimensions.Firs...; 关键词：Maxwell scattering edge finite element PML iterative two-grid method

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