multi- grid method meaning in English
多重网格法
Examples
- Multi - grid method
多重网格法 - Then the explicit finite - volume method for the two - dimensional steady navier - stocks equations is studied . in order to prevent odd - even decoupling of the solution and oscillations near the shock waves , artificial dissipation is added . local time step , residue averaging , enthalpy damping and multi - grid method are used to accelerate the convergence during the five - step runge - kutta explicit time marching
在计算中，采用五步runge - kutta显式时间推进，引进人工耗散项以克服中心差分固有的奇偶不关联性和抑制激波附近解的振荡，应用了当地时间步长、残值光顺、焓阻尼、多重网格法等措施加速计算收敛。 - Three finite - difference methods , i . e . , stagger grid , implicit and explicit algorithms , are analyzed in detail . multi - grid algorithm is firstly introduced in elastic wave simulation , to solve for the stability problem inherent in stagger grid and implicit algorithm , also for the efficiency problem inherent in explicit algorithm , and the precision , stability and efficiency for simulation of elastic wave arc increased by multi - grid method . phase - delay method is provided to effectively absorb boundary reflection and increase efficiency for wave motion simulation , based on phase delay and amplitude decaying features along wave propagation
在水平分层介质接收函数的波形反演研究的基础上，本文系统阐述了非均匀介质中弹性波传播数值模拟常用的三种有限差分方法：显式差分、隐式差分和交错网格法，首次将多重网格算法应用于弹性波方程的数值模拟问题，克服了交错网格法和显式差分法稳定性差，以及隐式差分法计算效率低的缺点，大大提高了弹性波数值模拟的精度、稳定性和计算效率。 - A highly efficient numerical algorithm by using multi - grid method ( mgm ) is introduced to solve the three dimensional field distribution in the present paper . formulae of the restriction and prolongation in mgm computation is deduced , and a 3d program of mgm is accomplished , which can solve the field distributions in electron optical systems for various electrostatic lenses . the 3d field distribution in an electrostatic concentric spherical model is tested with mgm algorithm and an algorithm based on finite difference method ( fdm ) respectively . comparing these two results in view of computational efficiency and computational accuracy , it appears that mgm is superior to fdm in solving electrostatic field distribution for the electron optics problem . this paper shows that the 3d field computation using mgm greatly improves the computational efficiency of field distributions in electron optical systems and shortens the computational time
本文将一种高效率的数值计算方法? ?多重网格法引入三维静电场分布的计算，多重网格法利用限制和延拓可迅速求得满足精度要求的场分布.研究了求解各种静电透镜电子光学系统三维场分布的多重网格法程序，验算了静电同心球模型的三维场分布.通过与目前在场计算中常用的有限差分法进行比较，可以看出多重网格法的计算效率和计算精度优于有限差分法.本文表明利用多重网格法计算三维场大大提高了场分布的计算效率，缩短了计算时间，因此为后续计算打下了良好的基础