scalar equation meaning in English
标量方程
无向量方程
Examples
- A general class of solutions to nonlinear scalar equations with static cylindrical symmetry is obtained in the form of a hyperbolic function series . these solutions can be used to describe a long . straight global string
利用双曲函数级数的技术,研究了静态轴对称非线性标量方程的解析解.在物理上.这些解描述了无限长的直整体弦 - Our results can be reduced to those for two - species system . at the same time , our results not only can be reduced to those for the scalar equation when there is no coupling , but also improve and complement some in the literature
我们的结果可以推得二维系统的相应的结果；同时，我们的结果可以推得当耦合消失时标量方程的结果，而且改进和弥补了其不足。 - For scalar equation and system of equations , we build different ghost fields , translate one equation ( system ) into two equations ( system ) . we still use high resolution shock capturing method to compute the two equations ( system ) ; level set equation is used to track the interface , and the result of original equation ( system ) is determined by the level set function . thus , we eliminate the numerical dissipation which high resolution shock capturing method cannot avoid near the interface , and the resolution is enhanced
对标量守恒律方程、守恒律方程组分别构造了一种虚拟区域，将一个方程(组)转化成两个方程(组) ，对这两个方程(组) ，我们仍然使用高分辨率激波捕捉格式，而levelset方程用来追踪间断的位置，原方程(组)的解最后由levelset函数决定：这样做弥补了高分辨率激波捕捉方法在间断附近发生数值耗散的缺陷，提高间断处的分辨率。 - From the experiments in hyperbolic conservation laws , we can see that if we only use high resolution shock capturing method in scalar equation , there would have a transition near the interface ; but when coupled with level set method , we can get a sharp interface , the interface is tracked exactly
通过实验可以看出，对标量双曲守恒律方程应甩levelset方法后，我们得到了锐利的图像，界面得到了准确追踪，而不像高分辨率激波捕捉方法，在界面附近有一个过渡区域。