文章研究的是解析函数的等价命题和解析函数及其柯西—黎曼方程在解决物理学中平面场的无源无旋问题中的应用。
This paper discusses several equivalent propositions in analytic function and their application to the nonsource and irrotation problems of plane field in physics.
在已知空间物体表面区域方程的前提下，利用黎曼和可以方便地求出被测物体的体积。
It is very convenient to calculate the object volume to use Riemann sum after obtained the object surface region equation.
该方法将原参数非定常欧拉方程组重新组合成以广义黎曼变量表示的欧拉方程组，再用二点二步迎风格式离散求解。
Euler equations of generalized Riemann variable are derived from unsteady primitive variable Euler equations and solved by using two - a point-two-step upwind finite difference method.
模型在有限体积法框架下应用黎曼近似解求得耦合方程的数值解。
Under the framework of finite volume method, the Riemann approximate solver is applied to obtain the numerical solution of the equation.
利用柯西黎曼条件和偏微分方程理论，得到了一类非线性RH问题的求解方法，并通过实例表明该方法是可行的。
In this paper, we get a method to solve a non-linear RH problem by the Cauchy-Riemann conditions and the theories of partial differential equation.
本文采用求解非齐次方程组的广义黎曼问题解，对模型数值通量计算格式进行了修改。
In hydrodynamics, however, the scheme for numerical flux is constructed from the solution of the generalized Riemann problem in the present research.
此格式对于计算压差方程只包含强简单波的黎曼解是很好的，对于计算压差方程的包含弱简单波的数值解是不适用的。
According to our numerical experiments, this scheme is good for computing the Riemann solution consist of only strong simple waves, but bad for the Riemann solution which contains weak simple w.
此格式对于计算压差方程只包含强简单波的黎曼解是适合的，对于计算压差方程的包含弱简单波的黎曼解则不适用。
According to our numerical experiments, this scheme is good for computing the Riemann solution consist of only strong simple waves, but bad for the Riemann solution which contains weak simple waves.
此格式对于计算压差方程只包含强简单波的黎曼解是适合的，对于计算压差方程的包含弱简单波的黎曼解则不适用。
According to our numerical experiments, this scheme is good for computing the Riemann solution consist of only strong simple waves, but bad for the Riemann solution which contains weak simple waves.
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