应用交替分段显隐方法求解变系数对流扩散方程，此方法具有很好的并行性且无条件稳定。
Using alternating segment explicit implicit method for the variable coefficient convection diffusion equation. The method has the obvious property of parallelism and is unconditionally stable.
应用电子计算机计算了太阳宇宙线在均匀并无限的行星际介质中传播的各向异性扩散对流方程的量纲分析解。
Computer calculations have been made on the dimensional solution to the anisotropic diffusion convection equation for solar cosmic rays propagating in an uniform and unbounded interplanetary medium.
给出了解非线性对流扩散方程的线性修正的特征差分格式及交替方向格式。
Linear modified characteristic finite difference and alternating direction schemes are devised for nonlinear convection diffusion problems.
此模型由一个单一的具有源项的对流扩散方程组成。
The model consists of a single advection? Diffusion equation with a source term.
讨论了对流扩散方程的第二逆风差分格式的一些性质，并说明了在自然对流计算中的某些问题。
Discusses some properties of the second upwind difference scheme for the convection-diffusion equation and explains certain questions in the computation of natural convection problems.
可用单内点子域精细积分，求解对流-扩散方程初值问题。
Initial value as a problem of convection diffusion equation can be solved by applying fine integral of single inner point subdomains.
确定了本文数值模拟所采用的网格的生成技术，对流扩散项的离散格式，压力修正与速度修正方法，以及非线性代数方程组的求解方法。
The grid generation technique, difference scheme of convective and diffusive terms, pressure and velocity correction methods and arithmetic of nonlinear equations are determined.
对于非线性对流占优扩散方程，不仅可以消除因对流占优项引起的数值振荡现象，还可以加快收敛速度、提高计算效率。
For the nonlinear convection-dominated diffusion equation, this method can not only stabilize the numerical oscillation but also accelerate the convergence and improve the computational efficiency.
讨论具有一般形式的对流项、扩散项、边界流项以及反应项的一维牛顿渗流方程初边值问题非负解的整体存在性。
The present paper studied the global existence of nonnegative solutions of one-dimensional Newtonian filtration equation with more general boundary fluxes term, reaction, diffusion and convection.
本文提出了数值求解对流扩散方程的局部解析算法。
A numerical method based on the local linear analytical solution is given for the nonlinear advection diffusion equations.
该算法的优点是特别适用于求解变系数的对流占优扩散方程，能更有效地消除数值振荡现象。
The advantage of this scheme is very adaptable to obtain the solution of the equations with variable coefficient and can eliminate the numerical oscillations more efficiently.
将有限体积和有限元方法相结合，解决对流扩散方程问题，并给出了稳定性分析。
In this paper, finite bulk-finite element means is presented for solving convection-diffusion problem, moreover give out the stability analysis.
引入指数函数，将对流扩散方程变换为扩散反应方程，消除了数值求解中较难处理的对流项。
To eliminate the difficulty in dealing with convection terms, an exponential transformation function is introduced to turn the CDE into their equivalent diffusion-reaction equations (DRE).
将此N S方程看作一个特殊的扩散方程，将压力项与对流项看作是源项，得到一个积分方程。
The integral N-S equation is regarded as a special diffusion equation and the pressure term, convective term are regarded as source terms.
建立了含有外力的分数阶非线性对流-扩散方程。
Fractional nonlinear convection-diffusion equation with external forces is given.
由对流扩散方程的对流系数和扩散系数确定了局域平衡分布函数的系数。
The coefficients in the equilibrium distribution are determined by the convection coefficient and the diffusion coefficient.
第四章里，对二维非线性对流扩散方程，构造了特征有限元的两重网格算法，并给出了相应的收敛性分析，数值例子。
In chapter 4, for 2d nonlinear convection-dominated diffusion equation, a two-grid scheme of characteristic finite-element solution is constructed.
控制方程采用通用的对流扩散方程并利用有限控制容积法离散。
The governing equations represented by the general convection diffusion forms are discretized using the finite control volume method.
对流一扩散方程中扩散系数反演问题，可以归结为一个特殊的非线性算子方程求解问题。
The problem of determining the diffusive coefficients can be formulated as one of solving a special nonlinear operator equation.
对于非线性对流占优扩散方程，不仅可以消除因对流占优项引起的数值振荡现象，更重要的是可以加快收敛速度、提高计算效率。
For the nonlinear convection-dominated diffusion equation, the method can stabilize the numerical oscillation, accelerate the convergence and improve the computational efficiency.
提出了求解含源汇项非定常对流扩散方程的一类高精度格式。
A high order accuracy compact difference method is presented for soling unsteady convection equation with source term.
方程的对流项和扩散项分别采用三阶迎风紧致格式和四阶中心紧致格式离散。
The N-S equation's convection term and dissipation term are discretized using the third-order upwind compact scheme and the fourth-order central compact scheme, respectively.
这类具有对流项的非线性扩散方程，类似于著名的统计力学方程，具有重要的物理意义。
This class of nonlinear diffusion equation with convection term resemble to the celebrated equation arising in statistical mechanics and have important physical sense.
采用四结点四面体单元和八结点六面体等参数单元进行三维定常对流扩散方程的有限元分析。
The finite element analysis of three-dimensional steady-state convection-diffusion equation is given by using 4-node tetrahedral elements and 8-node hexahedral elements.
运用待定系数法，建立了求解二维对流扩散方程的HAUC2格式。
By using the undetermined coefficient method, a new scheme is derived from the HAUC2 scheme to simulate the two dimensional convection-diffusion equation.
采用箱式模型、二维ADI流体方程和对流扩散模型计算浔江湾海水交换时间，分析浔江湾的水动力特点和湾内海水交换时空分布的特点。
With the box model, 2D ADI tidal current equation and convectiondiffusion model, the exchange time of Xunjiang bay water is computated.
采用对流扩散方程并且考虑渗流作用的影响，研究了缓流水体底泥污染物对周围土层的影响。
This article studied the convection and diffusion of polluted materials in soil using convection and diffusion equation considering the effect of percolation.
以有限体积法为核心，建立了求解二维浅水方程和对流扩散方程的模型体系。
Based on the Finite Volume Methods (FVM), model system is developed to solve the 2d shallow water equation and convection-diffusion equation.
以有限体积法为核心，建立了求解二维浅水方程和对流扩散方程的模型体系。
Based on the Finite Volume Methods (FVM), model system is developed to solve the 2d shallow water equation and convection-diffusion equation.
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