finite difference equations 中文意思是什麼

finite difference equations 解釋
有限差分方程
  • 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。
  • equations : 方程式
  1. In this article, physical equations and relative three - dimensional finite - difference formulae in cylindrical and spherical geometries were derived and two - and three - dimensional code in cylindrical and spherical geometries for direct - drive by laser was made, based on the lared - s code in planar geometry. it consisted of the processes such as the inverse bremsstrahlung absorption, electic heat conduction and fluid dynamics

    本論文在lared - s程序平面版本基礎上,推導了三維柱和球幾何中激光驅動的物理方程和相應的差分方程,編制了二維和三維柱和球幾何中激光驅動流體不穩定性的lared - s程序版本,主要物理過程包括:激光逆軔致吸收、電子熱傳導和流體運動。
  2. The spectrum evolution of the femtosecond laser pulse in a three - level organic molecular medium ( 4, 4 ' - bis ( dimethylamino ) stilbene ) is studied theoretically by solving the maxwell - bloch equations using an iterative predictor - corrector finite - difference time - domain method

    摘要通過採用預估校正的時域有限差分法求解麥克斯韋布洛赫方程,我們研究了飛秒激光脈沖在三能級有機分子( 4 , 4 ' -二甲氨基二苯乙烯分子)介質中傳播時脈沖的頻譜演化情況。
  3. An one - dimensional non - equilibrium mathematical model was established to describe the performances of unit adsorbent bed. finite difference forms of the equations were written in matlab. a conventional test bed for investigating the inner properties of cacl2 - nh3 unit tube was developed and the real data were used to test the model

    在前人研究經驗的基礎上,建立了單元管吸附床內一維非平衡吸附條件下的傳熱傳質數學模型,提出了該模型的數值求解方法,並給出了數值模擬算例。
  4. A normal transform is introduced, and there are enough much grids in the region between the critical layer and the wall, where the variation of the disturbance is the quickest. the finite - difference of governing equations with fourth - order accuracy in the normal direction is utilized in full regions including points close the wall, and is very important for accurately discreting equations. the combination of global and local methods is implemented, and a new iterative formula is derived

    對于曲線坐標系下的拋物化穩定性方程,文中發展了求解的高效數值方法:引進法向變換,使得在臨界層與壁面之間的擾動量變化最快的區域有更多的法向網格點;導出包含邊界鄰域在內的完全四階精度的法向有限差分格式,這對方程精確離散至關重要;採用全局法和局部法相結合的方法及其新的迭代公式,大大加速收斂並得到更精確的特徵值。
  5. ( l ) the three - dimensional equations for tidal flow are derived from the navier - stokes equations based on some assumptions. the model is based on the vincenzo casulli method, and semi - implicit finite difference scheme has been used

    ( 1 )從navier - stokes方程上經過假設和簡化得到的三維潮流控制方程,以vincenzocasulli法,採用半顯半隱差分格式,建立了一個三維潮流數值模型。
  6. Though adopting the - coordinate transformation in the control equations and mode - splitting technique, the external mode ( surface gravity waves ) is solved by the improved double - sweep - implicit finite difference method ; the internal mode ( internal gravity waves ) untilizes the eulerian - lagrangian method, which improves the implicit - difference scheme for the vertical direction. the newly developed 3d numerical tidal model with implicit scheme has been successfully applied in the radial sandbanks area

    基於過程分裂法及垂向坐標伸縮變換,外模式採用改進型雙步全隱有限差分dsi法,內模式採用歐拉?拉格朗日公式,改進了三維垂向隱式格式,成功地建立了南黃海輻射狀沙脊群海域三維全隱格式潮流數學模型。
  7. The research of this dissertation is focused on how to solve the 3 - dimensional compressible navier - stokes equations by the implicit finite difference algorithm and to simulate numerically the unsteady subsonic and transonic viscous flows around rigid and elastic wings. on the base of them the aeroelastic characterictics of an elastic wing have been studied

    本文的主要工作是用隱式有限差分法求解三維非定常紊流n - s方程組,數值模擬剛性機翼及彈性機翼的亞、跨、超音速定常及非定常粘性繞流,並在此基礎上研究了彈性機翼的氣動彈性問題。
  8. Based on the previous work, the equations of motion and elastodynamics are changed. a high - order staggered velocity - stress finite - difference formula of the acoustic field in borehole are set up in cylindrical coordinate, and the corresponding code is accomplished

    本文在彈性波動力學的基礎上,將運動方程和本構方程作適當變形,採用交錯網格技術建立了井孔波動方程在柱坐標系下的速度?應力高階有限籌分公式,並編制了相關計算程序。
  9. Prestack migration is performed by reverse - time migration method based on maxwell ' s equations using time - domain finite - difference method

    疊前偏移用時間域有限差分求解麥克斯韋方程組的逆時偏移方法實現。
  10. A simplified set of equations for analysis of the filling. finite difference methods are used for the pressure calculation. advancement of flow f ront uses a control volume approachand dynamic simulation of the moldfilling process is achieved. other is wetting out process which is the most critical stage in rtm. this stage is a typical porous media flow problem

    從粘性流體力學的質量和動量方程出發,建立了描述充模流動過程的數學模型,利用有限差分法求解壓力方程,並利用控制體積法跟蹤流體前沿;第二部分是充模流動的主體部分,屬于典型的多孔介質的流動問題。
  11. First, we reviewed the finite - difference time - domain yee ' s method. the difference equations, the stability condition, numerical dispersion characteristics, absorbing boundary conditions, incident wave source conditions and the calculation of the frequency - dependent scattering parameters are discussed

    首先本文回顧了時域有限差分yee演算法,包括時域有限差分的差分方程、穩定性條件、數值色散特性、吸收邊界條件,激勵源的設置以及散射參數的計算等。
  12. The flow equations are solved using finite difference technique. using body - fitted curvilinear coordinate system treated the boundary conditions. by iteratively solving the flow governing equation and the blade equation, the design of axial flow pump impeller in the quasi - three - dimensional rotational flow can be performed according to the angular momentum distribution, the blade which was designed in the lifting method, flow channel and the blade thickness given

    其次在流動無粘性、不可壓及考慮葉片厚度的條件下,依據葉輪內的流動特性,推導了葉輪內三維流動周向平均流動控制方程以及葉片方程;在貼體坐標系中,採用有限差分法求解流動方程和葉片方程;在採用升力法設計出的葉片作為初始葉片、給定葉片速度矩分佈、葉片厚度分佈和葉輪軸面流道幾何形狀條件下,迭代求解流動控制方程及葉片方程,實現了軸流泵葉輪的準三維方法設計。
  13. The transient mathematical equations are addressed for the coupled heat and moisture transfer by taking account of moisture accumulation procedure. an analytical method by means of the transfer function is proposed to predict the transient distributions of temperature and moisture content at different interfaces in walls. a numerical analysis approach based on an efficient finite - difference method is developed to deal with the procedure of coupled heat and moisture transfer in a multilayer wall with nonlinear boundary conditions considered

    建立了考慮濕積累過程的瞬態熱濕耦合模型,在方程中引入了濕積累項;發展了一種傳遞函數解析方法進行墻體內不同剖面處溫度和含濕量的動態預測;首次提出了一種基於有效有限差分法預測非線性邊界條件下多層多孔結構內的傳熱傳濕過程的數值分析方法,求解過程中考慮了瞬態邊界條件,從而避免了通常處理中由於邊界條件設定為常數而給計算帶來的誤差,對于多層結構每一層物性參數的非連續性,則採用了有效的有限差分逼近處理。
  14. According to different water phenomena, we use two different method to produce waves source : the first method is by specifying the boundary conditions and initialization conditions, this method simulate the dam breaking, reflection and diffraction of water waves ; the second method is by specifying disturbance model, this method simulate water droplets, waterfall, waves of ship ; in the first part of this thesis, we discuss the prevalent methods of the simulation of water scenes, in the second part of this thesis, we describe the numerical methods of solving the shallow water equations using the finite difference method and the finite volume method respectively, in the third part of this thesis, we simulate some realistically liquid phenomena such as rain droplets, the waves of ship, dam breaking etc

    產生水波首先要有波源,設置不同的波源便可以得到不同的水流情形,我們用兩種方法來產生波源:一種是通過設置邊界條件和初始條件產生,這種方法用於模擬潰壩波的反射、折射等現象;另一種是通過擾動控制產生,這種方法用於模擬雨滴、瀑布、船波等自然現象。本論文的第一部分我們討論了目前水動畫模擬常用的幾種方法;在第二部分討論了我們所使用的兩類數值方法:有限差分方法和有限體積方法;在第三部分我們模擬了雨滴、船波、潰壩波等一些水流現象。
  15. When the author sets up the mathematics model with describing the process of two - dimensional debris flow, he develops the continuity equation by the law of conservation of mass and establishes the momentum equations by the law of conservation of momentum. the author makes full use of the advanced computer technologies, establishes the finite difference equation of numerical simulation by the differential operator fission method, and writes programs for computers which contact friendly with the other programs. the parameters are directly input on the keyboard

    在泥石流堆積數值模擬方面,作者以前人工作成果為基礎,在建立數學模型時,根據質量守恆原理,推導建立了泥石流連續性方程,根據動量守恆原理,推導建立了泥石流運動方程;在數值解法上,充分利用高速發展的計算機技術,採用運算元分裂法建立數學模型的差分格式,開放式編製程序,人機對話方式設置參數,計算機程序具有通用性、可擴展性和易維護性。
  16. In the procedure, the column is first divided into a finite number of small segments in equal length. the deflection - curvature relation of each segment is determined using the finite - difference method. the final nonlinear algebraic equations are then obtained by means of the equilibrium condition for each segment

    運用這種方法,先將長柱離散成若干等長的柱段,利用差分方法求得各柱段截面上的撓度與曲率的關系,再根據各截面上外力與抵抗力的平衡條件,得到一組關于荷載與變形關系的非線性代數方程組;本文對該方程組採用載荷增量法進行迭代求解。
  17. The exhaust system and muffler are simplified as a set of 1 - d pipes with non - isentropic flow and with variable sections. the partial differential equations of non - stationary flow are transferred into the stationary differential equations by means of the characteristic lines. these equations are solved by finite difference method

    在排氣管系的計算中將排氣管簡化為一組一維非等熵變截面管,並通過「特徵線法」將描述其運動的非定常流的偏微分方程轉化為常微分方程,再用差分數值方法依靠計算機求解。
  18. Finite difference solution of nonlinear model equations for rarified gas using discrete velocity ordinate method

    稀薄流非線性模型方程離散速度坐標法有限差分解
  19. It is well known that the integral and finite difference inequalities play a fundamental role in the development of the theory of differential and finite difference equations

    積分不等式和離散不等式在研究微分方程與有限差分方程理論過程中具有非常重要的作用。
  20. ( 2 ) the explicit simulating process for the pulse combustion spray drying process in this project, both the gas - phase equations and particle - phase equations were integrated in the computational cell using up - wild scheme to obtain the finite difference equations. the gas - phase equations are solved using the simpler algorithm and multiple iterations have been made based on a two - way coupling ( legaml algorithm )

    ( 2 )進行了模型的求解本文詳細論述了該類數學模型的具體求解過程,包括模擬區域的確定和非結構化網格的劃分、邊界條件的選擇、微分方程的控制容積離散方法、代數方程組的simpler解法以及兩相流方程的legami演算法。
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