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      dissipation term
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  耗散项
     Asymptotic behavior and blow up of solutions for a class of nonlinear hyperbolic equations with dissipation term
     一类具耗散项非线性双曲型方程解的渐近行为和blow up
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     Blow up of solutions of initial boundary problem for a class of evolution equations with nonlinear strong dissipation term
     一类具非线性强耗散项的发展方程初边值问题解的Blow up
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     A mass-weighed averaged second-order moment (MUSM) two-phase turbulence model is proposed. The volume fraction is used instead of particle number density. The particle relaxation time is used to close the dissipation term in the transport equation of two-phase fluctuation velocity correlation.
     本文用视密度加权平均代替时平均,建立了视密度加权平均的统一二阶矩两相湍流模型方程组(MUSM),其中用体积分数代替了数密度,用颗粒驰豫时间作为封闭两相脉动速度关联方程耗散项的时间尺度,并引入了颗粒视在的气体速度脉动的输运方程。
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     GLOBAL SOLUTION TO A CLASS HIGHER ORDER NONLINEAR HYPERBOLIC EQUATIONS WITH STRONG DISSIPATION TERM
     一类具有强耗散项的高阶非线性双曲型方程的整体解
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     In this paper,the author study asymptotic behavior and blow up of solutions to the initial boundary value problem for a class of nonlinear hyperbolic equation with dissipation term.
     研究一类具耗散项的非线性双曲型方程utt-uxx+εut+f(u) =0的初边值问题解的渐近行为和blowup .
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  扩散项
     The convection term and dissipation term in momentum equations are discretized using the third-order upwind compact scheme and the fourth-order central compact scheme, respectively and the Poisson equation for pressure is solved by normal second-order central scheme. The equation of the cylinders'motion can be solved easily using the Runge-Kutta method.
     动量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差分紧致格式离散,压力方程采用一般二阶中心差分,柱体运动方程采用经典的龙格-库塔法求解。
短句来源
     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.
     N-S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.
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     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. A H-O type of non-stagger grid is adopted incorporating the DDM(Domain Decomposition Method).
     N S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,计算网格采用H O非交错网格系统,并结合分块耦合方法。
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     FVM was used to discrete the governing equations,the second-order upwind difference scheme was adopted for the convection term and the centric difference scheme for the dissipation term.
     控制方程使用有限体积法离散,对流项采用二阶迎风差分格式,扩散项采用中心差分格式。
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  “dissipation term”译为未确定词的双语例句
     3. after adding the dissipation term, the Nuler- Kraus type model can be used to study the modelling of intraseasonal time scale variations in the upper ocean.
     3.Niiler,-Kraus模式在考虑耗散作用后,可用于海洋季节内时间尺度变化的模式研究。
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     The application of the meshfree methods are extended to non-Newtonian flow problems, which successfully simulate the heat transfer problem of flowing polymer melts. Temperature profiles are obtained for different tube lengths, comparied with the no viscous dissipation model, which shows that the temperature-dependent viscous dissipation term had significantly impact on the heat transfer, i.e., the temperature difference between the model with temperature-dependent power-law viscous dissipation and the model without viscous dissipation is about 64 °C.
     (4)首次将无网格方法的研究范围拓展到非牛顿流体,模拟了圆管内具有粘性耗散的聚合物流动热传导问题,给出了粘性耗散模型离入口不同位置处的温度分布,并将其和无粘性耗散模型相比,其计算结果显示粘性耗散模型的温度比无粘性耗散模型高出64℃,从而说明了粘性耗散在聚合物流动热传导问题中具有举足轻重的作用。
短句来源
     Thus, in order to properly describe the propagation of a crack it is necessary to consider the rheological solid mechanically as a dissipature type media, and so in the global energy balance law must inclusion the rate-of-energy dissipation term which represent the behavior of rheological materials.
     因此,为能正确地描述裂纹扩展,就需要把流变固体从力学上看作是耗能型介质,从而在整体能量平衡规律中必须计及标志流变性材料特性的耗能率。
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     The paper discusses the different attributes of singularity induced bifurcation(SIB) between power system differential algebraic model(DAE) without dissipation term and with .
     该文系统地讨论了无阻尼项和包括阻尼项的电力系统微分代数模型(DAE)发生奇异诱导分岔(SIB)的特点;
短句来源
     A study was done on the initial boundary value problem of fourth order nonlinear wave equation with dispersive and dissipation term u_(tt)-Δu-Δu_t-Δu_u=f(x),x∈Ω,t>0,u(x,0)=u_0(x),u_t(x,0)=u_1(x),x∈Ω,((u|_(Ω))=0), where Ω∈R~Nis a boundary domain.
     研究四阶色散、耗散非线性波动方程的初边值问题utt-Δu-Δut-Δutt=f(x),x∈Ω,t>0,u(x,0)=u0(x),ut(x,0)=u1(x),x∈Ω,u| Ω=0,其中Ω∈RN为有界域.
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  dissipation term
The dissipation term is computed as a residual and is a major sink for the kinetic energy.
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It has been shown that the similarity solution exists in the unsteady case if we neglet the viscous dissipation term in the energy equation.
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Here we have taken account of the viscous dissipation term.
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Though previously, attempts were made to obtain similarity solutions of a steady boundary layer flow neglecting viscous dissipation term in the energy conservation equation but the treatments were not complete.
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The residual 'dissipation' term would indicate a production of kinetic energy, particularly for the layer 500/300 mb in winter.
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         In this paper, the equations of a(?)mospheric circulation are discussed. Since they contain effect of heat conduction, eff(?)t of internal friction and the dissipation term which describes the transformation from kinetic energy into internal energy, they keep the total energy unchanged. A class of weighted-average conservative schemes is given, which describe the conservation by discrete model. The censervative scheme used in common is suboptimal only. Using Jessen's inequality, Hardy's inequali...
            本文讨论大气环流闭合方程组,由于同时考虑了热传导效应,内摩擦效应及表达动能向内能转化的耗散项,因此符合总能量守恒律,文中对这一方程组建立了加权平均守恒型差分格式,并证明当选择最优参数时,它满足离散形式的总能量守恒律,通常的二次守恒格式是其次优的情况,文中还综合应用了Jessen不等式,Hardy不等式等等,从而严格证明了在一定条件下,存在t_0>0,当t
文摘来源
         First, we cannot but talk in a few words about rheological fracture, because of this subject is generally understood as a self-contradictory one. In fact, Griffith's works just sixty years ago signaled the beginnings of a mechanics of fractcture, he realized and investigated the beginnings of a mechanics of fracture, he realized and investigated the phenomena of rupture and flow in solids. However it must be remembered that rheological mechanics sixty years ago was not well developed. Today from rheological...
            首先,关于流变断裂我们不能不说几句,因为这个课题一般被理解是自相矛盾的。实际上,整六十年前Griffifh的工作标志着断裂力学的开始,他那时就认识到并研究了固体中的破裂和流动现象。可是必须提及,流变力学在六十年前还没有很好发展起来。今天,我们从流变力学知道,由于温度和力场的变化可引起任一材料发生流动。若将(?)定义为质点×存参考构形(?)的实质迷向群,则固体是迷向群为正交群的材料,而流体就是迷向群为全幺模群的材料。整个连续变形形成对称群。破裂时,群的性质改变。换句话说,可以把变到破裂状态看作是一种渐近现象,它给场张量不变量以限制。在这个新的看法中,流动和破裂都是物理量,而任一物理量都有它自身的数学背景。流动的数学背景可视为从一个拓扑空间到另一拓扑空间的映射,而破裂的数学背景则是相应的映射变为奇异的,这是由于破裂时宏观组元破坏,变换模趋于无穷大的缘故。从而,它们是彼此相关的。流变断裂学就是建立存这个数学背景上。我们另一文的结论是,断裂是不受表面能影响的一个纯粹流变过程。可是,把表而能引入断裂过程的连续统力学描述中,才主要地使它从适用于未裂体的力学独立出来。但我们认为,由于这项引入,使得经典连续统力学惯刚的把相应...
文摘来源
         In this paper, many quasi-linear equations are reduced to evolution equations inoperator form It is proved that if the operator A is non-negative, then"strongly implicit (i.e., 1/2 ≤θ≤ 1) schemes" would be absolutely stable, but if the operator A is skew-symmetric, then "weakly implicit and explicit (i.e., 0 ≤θ ≤ 1/2) schemes" are absolutely unstable.Furthermore, taking one dimensional non-linear advection equation as an example, three schemes with non-negative operator A and the corresponding stable scheme...
            本文把许多拟线性方程归结为算子形式的“发展方程”:F/t+AF=0.证明了带有非负算子A的“强隐式(即1/2≤θ≤1)格式”是绝对隐定的;而带有反对称算子A的“弱隐式和显式(即0≤θ≤1/2)格式”是绝对不稳定的。文中又以一维非线性平流方程为例,具体地构造了具有非负算子A的三种差分格式和相应的带人工耗散项的稳定格式,给出一个计算实例,说明后一类格式对消除虚假的寄生波也是很有效的,适于计算有间断的问题。
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