有限差分方程 的英文怎麼說
中文拼音 [yǒuxiànchāfēnfāngchéng]
有限差分方程
英文
finite difference equations- 有 : 有副詞[書面語] (表示整數之外再加零數): 30 有 5 thirty-five; 10 有 5年 fifteen years
- 限 : Ⅰ名詞(指定的范圍; 限度) limit; bounds Ⅱ動詞(指定范圍, 不許超過) set a limit; limit; restrict
- 差 : 差Ⅰ名詞1 (不相同; 不相合) difference; dissimilarity 2 (差錯) mistake 3 [數學] (差數) differ...
- 分 : 分Ⅰ名詞1. (成分) component 2. (職責和權利的限度) what is within one's duty or rights Ⅱ同 「份」Ⅲ動詞[書面語] (料想) judge
- 方 : Ⅰ名詞1 (方形; 方體) square 2 [數學] (乘方) involution; power 3 (方向) direction 4 (方面) ...
- 程 : 名詞1 (規章; 法式) rule; regulation 2 (進度; 程序) order; procedure 3 (路途; 一段路) journe...
- 有限 : limited; restricted; finite; a little; not much
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In this paper, the crank - nicolson type finite difference method is applied to the benjamin - bona - mahony equation. we obtain the existence and uniqueness of the numerical solutions
在這篇文章中,使用crank - nicolson有限差分方法來離散benjamin - bona - mahony方程,得到其數值解的存在性和唯一性。Based on the semi - vector wave equation under cylindrical coordinate system, the mode distribution and complex propagation constant in bent waveguides were computed by a finite difference method with perfectly matched layer ( pml ) boundary condition
摘要以柱坐標下的半矢量波動方程為基礎,採用基於完美匹配層( pml )邊界條件的有限差分方法,對彎曲波導進行模式求解,進而得到波導彎曲引起的輻射損耗。Fi nite e1ement and finite difference are two primary methods used in the so1 ut ion process of di fferentia1 equat i on
水動力模型採用二維淺水風生流模型,有限元方法和有限差分方法是求解偏微分方程的兩種主要方法。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。In chapter 2, an accurate modified reynolds equation is derived. the modified reynolds equation is solved numerically with the finite different method, the generated axial thrust force, minimal mucus film thickness, load capacity of hydrodynamic pressure and circumferential friction under the rectangular screw are obtained. at last, using numeral methods and coordinate graphs, the influences of rectangular screw parameters on the generated axial thrust force, minimal mucus film thickness, load capacity of hydrodynamic pressure and circumferential friction are studied and analyzed
第二章,首先推導了非牛頓流體的變形雷諾方程,化簡了雷諾方程,得出了矩形螺紋下有限差分方程;還推出了矩形螺紋作用下軸向摩擦牽引力、粘液膜厚度、粘液膜承載能力、周向摩擦阻力無量綱表達式,最後用數值計算方法求解,通過坐標圖分析了矩形螺紋參數對軸向摩擦牽引力、最小粘液膜厚度、粘液膜承載能力、周向摩擦阻力的影響。The 1eap - - frog method i s offered to ca1cu 1ate the hydrodynamic equat ion in 1hi s di sserta1 i on and 1he so1u1ion is di scussed
本文就使用有限差分方法中的跳點法求解水動力方程的具體過程進行說明,並給出計算結果。So an equation, which calculates the annual times of pavement concrete natural freeze - thaw cycle was developed and the cycle parameters, including temperature decreasing speed of freezing, length of freezing time and lowest freezing temperature were statistically calculated
根據有限差分方法計算得到的我國主要城市鋪面混凝土內部年逐時溫度,進行了鋪面混凝土凍融環境的量化指標統計分析,建立了鋪面混凝土年凍融循環次數的預估方程,統計得到各量化指標的分佈狀況和特徵值。Compared with traditional air - conditioning, its advantages lie in thermal comfort energy efficiency free use of spacing and etc. this paper introduces the procedure and the result of the experiment of gas - heater radiant floor system and gshp radiant floor system and compares them with traditional air - conditioner. based on the analysis of the heat transfer of radiant floor, this paper uses the theory of heat transfer to establish a mathematical model and computes it with difference equation. the important factors inferred from the model such as floor surface temperature heat intensity composite heat transfer coefficient deviate from the experiment result in a small range of 20 % and fit the need of the practical use
在分析了輻射地板傳熱機理的基礎上,文中利用熱傳導、大空間的自然對流換熱等傳熱學理論建立了輻射地板的傳熱模型,再採用有限差分方法對模型求解,所得有關輻射地板供冷熱性能的重要參數如地板表面平均溫度、熱流密度、地板表面復合換熱系數等與實測值相差在20以內,滿足工程使用要求;同時得出輻射地板盤管供水溫度是影響地板供冷熱性能的重要因素的結論。In chapter 4, the modified reynolds equation is solved numerically with the finite different method, and the generated axial thrust force, minimal mucus film thickness, load capacity of hydrodynamic pressure and circumferential friction under the serrate screw are obtained. at last, using numeral methods and coordinate graphs, the influences of serrate screw parameters on the generated axial thrust force, minimal mucus film thickness, load capacity of hydrodynamic pressure and circumferential friction are studied and analyzed
第四章,首先求出鋸齒形螺紋下數值計算所需的有限差分方程,再推出了鋸齒形螺紋作用下軸向摩擦牽引力、粘液膜厚度、粘液膜承載能力、周向摩擦阻力無量綱表達式,最後用數值計算方法求解,通過坐標圖分析了鋸齒形螺紋參數對軸向摩擦牽引力、最小粘液膜厚度、粘液膜承載能力、周向摩擦阻力的影響。Application of the cauchy ' y law of continua, the motion equation of the tetrahedral element is concluded, and discretization the analysis zone, applying the finite difference method, all tetrahedral differential equations of motion are converted into the nodal finite difference equation
快速拉格朗日分析程序運用連續介質的柯西定律,推導出四面體單元運動偏微分方程,並離散化分析區域,用有限差分計算方法,把所有的四面體單元運動偏微分方程等效成節點有限差分方程。Based on the asymptotic properties for numerical integral formulas, this paper obtains a class of finite difference methods for solving initial value problems of odinary differential equations, and studies the consistency and stability of new methods
摘要基於數值積分公式中間點的漸近性質,獲得了一類求解常微分方程初值問題有限差分方法,研究了新方法的相容性和穩定性。Based on former work, a finite difference viscous code that uses a high convergence, high accuracy, high resolution lu - sgs - ge implicit scheme and an improved fourth ( fifth ) - order high resolution muscl tvd scheme to integrate the full 3d navier - stokes equations and the low - reynolds number two - equation turbulence model is extended to simulate the flow field inside centrifugal impeller mechanism
並且在現有工作基礎之上,將基於有限差分方法的高收斂率、高精度、高解析度的lu - sgs - ge隱式格式和四(五)階muscltvd格式求解全三維navier - stokes方程和低雷諾數雙方程湍流模型的計算程序推廣到離心葉輪機械內部流場的數值求解。The heat transfer of the wall and the internal thermal mass is considered in this model. the control equation can be solved by an implicit finite - difference method
利用有限差分方法對該數學模型得到的控制方程組進行離散,並對離散得到的差分方程的計算求解過程進行了編程。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。The numerical simulation is an effective method. the main task of this dissertation is to establish a hydrodynamic and pollutant transport model, and to simulate the tide field and concentration field of hakata bay : ( 1 ) dispersing the long - wave equation on interlaced grid by adi method, a two - dimension hydrodynamic model is established to simulate the tidal flow in hakata bay under the effects of m _ 2, s _ 2, o _ 1, k _ 1 tide
本文的主要工作是建立一個深度平均的二維水動力及污染物擴散輸移的數值模型,並對一實際海灣的潮流場及濃度場進行數值模擬: ( 1 )用深度平均淺水波動方程為控制方程,採用迎風adi有限差分方法(交替方向隱式法)在矩形交錯網格上離散潮波方程,建立了一個二維潮流數值模型。A new method of multiresolution finite difference for wave equation
多尺度有限差分方法求解波動方程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。Through the analysis of heat - transfer process of the slab in reheating furnace, the numerical simulation of the temperature within the slab was carried out with the finite difference method, and an optimized mathematical model for heating - up process curve in a reheating furnace was given by using the flexible tolerance optimization method
摘要通過對鋼坯在步進式爐內傳熱過程的分析,採用有限差分方法對鋼坯內溫度進行數值模擬,用可變容差優化方法建立了鋼坯最優加熱數學模型。In chapter 3, the modified reynolds equation is solved numerically with the finite different method, and the generated axial thrust force, minimal mucus film thickness, load capacity of hydrodynamic pressure and circumferential friction under the trapezoidal screw are obtained. at last, using numeral methods and coordinate graphs, the influences of trapezoidal screw parameters on the generated axial thrust force, minimal mucus film thickness, load capacity of hydrodynamic pressure and circumferential friction are studied and analyzed
第三章,首先求出梯形螺紋下有限差分方程,然後推導了梯形螺紋作用下軸向摩擦牽引力、粘液膜厚度、粘液膜承載能力、周向摩擦阻力無量綱表達式,並用數值計算方法求解,通過坐標圖分析了梯形螺紋參數對軸向摩擦牽引力、最小粘液膜厚度、粘液膜承載能力、周向摩擦阻力的影響。It shows that for some difference equations, we ' d better adopt the expansion equations in the process of the heuristic method being applied to these difference equations
結果表明,對于部分有限差分方程,在用啟示性方法分析其計算穩定性的過程中最好採用從差分方程推導來的展開式以期得到較合理的結果。分享友人