对数值振荡的抑制、通用ICCG指针存储寻址等相关理论进行了研究。
Relevant theories as suppression of numerical oscillating, general ICCG pointer memory addressing, etc. are studied.
为了解决数值振荡问题，采用了局部网格细化、动态时间步长和集中热容矩阵等方法。
The methods of local mesh refined, dynamic time step and lumped heat capacity matrix were introduced to resolve the numerical oscillation problem.
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.
人工粘性能够较好地抑制冲击波压力计算中出现的数值振荡，但同时也引起了冲击波峰值的衰减。
The artificial viscosity can control the oscillations trailing the shock front, but it also weakened the peak pressure.
如果不进行集中热容矩阵，无论是细化网格还是减小时间步长，其解决数值振荡问题的效果都不好。
However, if the heat capacity matrix is not lumped, the numerical oscillation problem can not to be resolved even though by refining the local mesh or by decreasing the time step.
结果显示，本文的干湿判断方法无明显的数值振荡产生，且可以较准确的估计浅水处水体的蓄留能力。
The results show that the new method leads to no excessive numerical wiggles and results in effective estimation of retention volume in each cell with shallow water.
方法具有高阶精度，不呈现数值振荡，不带有可感受的数值衰减，计算过程稳定，计算方法简便等优点。
This method possesses the desirable properties of high accuracy, inherent numerical stability (no wiggles), non numerical damping and algorithm simplicity.
该算法能够加速收敛、消除数值振荡，且与实测结果相当吻合，适用于复杂多变边界条件下土体的冻胀计算。
This algorithm can not only accelerate the convergent speed and remove the numerical oscillation, but also apply to many kinds of changeful boundary conditions.
对于压力增量形式的投影方法，在非交错网格上，仅仅采用近似投影过程，通常不足以抑制压力场的数值振荡。
On staggered grids, the approximate projection procedure for incremental projection methods is not sufficient to avoid the oscillation of pressure.
通过模拟结果与解析解的比较可以看出，在时间步长选择合适的情况下，集中热容矩阵能够很好地解决数值振荡问题；
The results show that the simulation results fit the theoretic results(by separate variable method)very well when the heat capacity matrix is lumped with appropriate time step.
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.
模拟算例表明该模型能够自动捕捉间断且能消除激波附近的虚假数值振荡，克服了在间断处过分耗散和数值振荡的缺点。
Case study shows that, instead of dissipation of discontinuity and numerical oscillation, the model can capture discontinuity and eliminate spurious numerical oscillation.
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.
由于对流为主的弥散方程具有双曲性质，中心差分格式虽然关于空间步长具有二阶精度，但会产生数值弥散和非物理力学特性的数值振荡，使数值模拟失真。
Due to the hyperbolic properties of convection-dominate dispersion equations, the central difference formula often cause numerical dispersion and oscillation even it has two-order precision in space.
结果表明该法能消除大部分的数值弥散，而且又不增加解的振荡性。
It is showed that the method can dispel most numerical dispersion and the vibration of solution doesn't increase.
采用离散旋涡法对振荡叶栅传播失速不稳定流场进行了数值模拟。
The unsteady flow in an oscillating cascade with propagating stall was simulated numerically with discrete vortex method.
作者讨论了使用MATLAB对振荡反应进行数值模拟的方法，应用该方法对硫化学反应非线性动力学行为进行了模拟。
This paper discusses the numerical simulation method for oscillation reactions by using MATLAB, and studies nonlinear kinetic phenomena of sulfuric reactions.
结合了解析方法和数值方法优点，本文提出了一种求解机械振动和电振荡问题的新方法。
By combining the merits of the analytic method and those of the numerical method, this paper proposes a new method for solving the problem of mechanical vibration and electrical oscillation.
针对甲醇电化学氧化过程中观察到的电化学振荡现象，建立了非线性动力学模型并对模型进行了线性稳定性分析和数值模拟。
We establish nonlinear dynamics model, make a linear stability analysis and numerical value simulation for the electrochemical oscillation phenomena observed in experiment.
研究还发现振荡流场长期输运作用数值模拟适用迎风差分格式，而不适用中心差分格式。
In addition, this study has discovered that the up-wind differencing but not the central differencing is fit to simulate the long-term transport of the oscillatory current.
采用非稳态数学模型，通过数值模拟对周期性矩型槽通道内流动和换热的振荡特性进行了研究。
Based on an unsteady model, the oscillatory convection heat transfer is studied numerically in the periodical channels with periodically grooved parts.
对高振荡微分方程给出一种好的数值解法是一件非常困难的事情。
It is very difficult to give a good numerical method for highly-oscillatory ordinary differential equations.
由于这类积分的强烈振荡性，直接数值积分，即通常的广义点源叠加方法(GPSS)，计算比较复杂。
Due to intense oscillation of these integral, calculation using direct numerical integral, i. e., GPSS (the generalized point source synthesis method), is complex.
为验证模型的可靠性，对静水中的振荡圆柱流场进行模拟，与实验及数值计算结果吻合较好。
Circular cylinder oscillating in water at rest is simulated to validate the model and the result compared with experimental and numerical simulation data is in good agreement.
数值实验表明了该类格式的高阶精度和分辨率，且过间断基本无振荡。
Numerical results show their high-order accuracy and high resolution, and low oscillations across discontinuities.
WENO格式的主要思想是通过低阶的数值流通量的凸组合重构得到高阶的逼近，并且在间断附近具有本质无振荡的性质。
The basic idea of WENO is to obtain a higher approximation by a linear combination of low order numerical fluxes.
在亚光速区，对处于相对论性振荡的纵等离激元色散方程进行数值求解，得到了朗道阻尼系数的数值解。
The landau damping rate is obtained by solving the dispersion equation of relativistic longitudinal plasmons with the sub-light-velocity numerically.
通过数值模拟弯曲损耗随弯曲半径的变化关系，证实了两种光子晶体光纤均具有弯曲损耗振荡特性。
The bending loss oscillations in the two kinds of PCFs are observed by simulating the relationship between the bending loss and bending radius, and the origin of the loss oscillations was analyzed.
采用格子气数值方法模拟了共振腔中气体声振荡衰减过程。
A lattice gas method is applied to simulate the attenuation of sound oscillation.
通过数值求解符拉索夫方程和泊松方程，研究了相对论效应和温度效应对等离子体振荡破裂的影响。
The influence of relativistic and thermal effects on plasma wave breaking has been studied by solving the coupled Vlasov-Poission equations.
应用推荐