finite difference grid 中文意思是什麼

finite difference grid 解釋
有限差分網格
  • finite : adj. 有限的；【語法】限定的；【數學】有窮的，有盡的。n. 〈the finite〉 有限（性）； 〈集合詞〉有限物。adv. -ly ,-ness n.
  • difference : n. 1. 差異，差別。2. 不和，爭論。3. 【數學】差，差額。4. 【邏輯學】特殊性。vt. 〈罕用語〉區別，使有差別。
  • grid : n 1 格子，格柵。2 （蓄電池的）鉛板。3 【無線電】柵級。4 鐵道網；【電學】電力網；〈英國〉（全國）...
  1. 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

    本文將一種高效率的數值計算方法? ?多重網格法引入三維靜電場分佈的計算，多重網格法利用限制和延拓可迅速求得滿足精度要求的場分佈.研究了求解各種靜電透鏡電子光學系統三維場分佈的多重網格法程序，驗算了靜電同心球模型的三維場分佈.通過與目前在場計算中常用的有限差分法進行比較，可以看出多重網格法的計算效率和計算精度優于有限差分法.本文表明利用多重網格法計算三維場大大提高了場分佈的計算效率，縮短了計算時間，因此為后續計算打下了良好的基礎
  2. Generally, the skew bridge ' s calculation theories can be divided into three types : the category 1 is the plank theories method, such as the finite difference method, the finite element method and the finite strip method, etc ; the category 2 is the beam theories, such as the grid beam theories, the general grid theories, the rigid cross - beam method, the elastically - supported continuous beam method and the bar system analytical method, etc ; the category 3 is the practical method, such as the g - m revising method, the grid - beam simple method and ghali form coefficient method, etc

    目前關于斜梁橋的計算理論和方法概括起來，大致可以分為三類：第一類為板理論方法，如有限差分法、變分法、有限單元法、有限條法等；第二類為梁理論法，如格構梁理論、一般格構理論、剛性橫梁法、彈性支承連續法、桿件結構的分析方法；第三類為實用計演算法，荷載橫向分佈的計算方法如g ? m修正法、格構梁的簡易法、 ghali表格系數法等。
  3. 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

    在水平分層介質接收函數的波形反演研究的基礎上，本文系統闡述了非均勻介質中彈性波傳播數值模擬常用的三種有限差分方法：顯式差分、隱式差分和交錯網格法，首次將多重網格演算法應用於彈性波方程的數值模擬問題，克服了交錯網格法和顯式差分法穩定性差，以及隱式差分法計算效率低的缺點，大大提高了彈性波數值模擬的精度、穩定性和計算效率。
  4. Compared with the conventional finite - difference method on the fixed grid - size rectangular grids, the new method can be more cost - effective in complex models. numerical tests for both seismic modeling and reverse - time migration are performed on various theoretical models and a physical experiment

    用該剖分方法得到的網格在各速度層內的空間步長是不同的，而全區域上的時間步長卻近於恆定，因此在復雜模型上，本文方法的計算效率要高於傳統的矩形網格差分方法。
  5. A new finite - difference method is developed for seismic modeling and reverse - time migration based upon the voronoi cell construction on irregular grids. curved velocity boundaries and irregular earth surface can be accurately represented using the irregular grid implementation. therefore the modeled and migrated results can be more accurate, and meanwhile, the efficiency is still preserved using an explicit finite - difference scheme

    本文的方法可以實現任意非規則網格上的顯式差分計算，因此該方法在保持了傳統的矩形網格差分演算法簡單、高效特點的同時，又能精確地描述彎曲界面和起伏地表，提高了有限差分地震模擬和偏移結果的精度。
  6. The numerical modeling of 3 - d elastic wave equation using a high - order, staggered - grid, finite difference scheme

    交錯網格高階差分法三維彈性波數值模擬
  7. In this model, the operator splitting technique, staggered grid technique and finite difference method were used

    採用運算元分裂法、交錯網格法、有限差分法進行計算。
  8. Multi - grid - blocks, finite volume method, maccormack difference method was used to solve the unsteady two - dimensional navier - stokes equation, finite difference method was used to solve the two - dimensional heat transfer problem

    數值計算方面，以多塊網格為特徵的s2df程序採用有限體積法， maccormack離散格式求解二維、非定常n - s方程，利用有限差分方法求解二維熱傳導方程。
  9. Effects of grid peclet number and grid size on accuracy of finite - difference formulations of convection - diffusion equations

    數和網格尺寸對對流擴散方程
  10. In chapter 4, we present some new techniques in designing finite difference domain decomposition algorithm for the heat equation. the basic procedure is to define the finite difference schemes at the interface grid points with smaller time step by explicit schemes, and the prior error estimates for the numerical solutions are obtained

    在第四章，我們發展了一些新技術，在子區域的邊界處採用小時間步長古典顯式格式求解，構造了新的區域分解演算法，得到了差分解的先驗誤差估計。
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