gradient equations 中文意思是什麼
gradient equations
解釋
梯度方程-
2. dynamic meteorology : equations of motion ; geostrophic, ageostrophic and gradient winds ; thickness and thermal wind ; continuity equation ; stream function ; vorticity equation ; divergence equation ; omega equation ; rossby wave ; ekman layer ; numerical weather prediction
2 .動力氣象學：運動方程地轉風非地轉風及梯度風厚度及熱成風連續方程流函數渦度方程輻散方程奧米茄方程羅斯貝波埃克曼層數值天氣預報。 -
Compared with the pressure hydrophone, vector transducer can provide both the information about pressure ( scalar quantity ) and particle velocity ( vector quantity ) of the sound field, which offers more possibilities for signal processing. so vector transducer and its signal processing have attracted the attention of researchers both native and foreign. in this thesis, a method of correlation equations for pressure gradient transducer is presented, and the estimation of multi - signal parameters with single vector transducer is given
與傳統的聲壓水聽器相比，矢量水聽器既能獲得聲場中的聲壓這一標量信息，又能獲得聲場中質點振速這一矢量信息，這為其信號處理帶來更大的空間，因此矢量水聽器及其相應的聯合信息處理技術日益成為國內外科技工作者們研究的熱點。 -
By performing fourier transformation, the relationship between the turbulent intensity of the particle and that of the carrier fluid was obtained which makes clear that particle size, specific gravity, velocity gradient, and the characteristic frequency of energy - containing eddies are four basic influencing parameters. it is proven theoretically that under certain conditions, the stream - wise and transverse particle turbulent intensities exceed those of the carrier fluid. based on the equations of two - phase flow, the presence of fine sediment suspension is shown to attenuate the turbulent intensity of the water
通過對細小顆粒在剪切流場中運動方程的fourier分析，得到了顆粒脈動強度和流體脈動強度之間的定量關系，表明顆粒粒徑、顆粒密度、流速梯度以及紊動場含能旋渦的特徵頻率是影響顆粒脈動強度的主要因素，首次從理論上證明了在一定條件下，顆粒在縱、垂向的脈動強度均會超過相應的流體脈動強度，為已有的實測資料提供了合理的解釋。 -
The numerical algorithm of solving the adjoint equations for different design cases have been developed by using finite volume methodology which is usually used to solve the flow governed equation. it includes the some important aspects, such as flux formulation, wall and far - field boundary treatment methodology, dissipative term formulation, etc. after the solution of the adjoint equations is obtained, the derivatives of the cost function with respect to all the design variables can be evaluated with the same operation. this can yields a significant saving over the other gradient - based techniques when there are many design variables
（ 3 ）進行了應用控制理論和三維歐拉方程的機翼氣動反設計研究，以及有升力約束情形下機翼跨音速減阻問題研究，分別推導了相應的共軛方程及邊界條件數學表達形式，研究與發展了三維共軛方程的有限體積數值求解方法，及相應梯度公式的數值求解方法，通過對計算網格生成、流場計算、共軛方程數值求解、梯度求解和優化演算法等多方面的有效結合，成功發展了三維機翼的氣動反設計和跨音速減阻優化設計程序，成功地進行了多個設計算例研究。 -
By means of c - language, the paper has developed a large - scale computer program, in which the combination of both the newton iteration and the gradient method is introduced to solve reynolds equation and film thickness equation, and the march method is used to solve the energy equation and heat interface equations, the satisfactory results are obtained
本文採用c語言編制了大型計算機程序進行數值計算，數值計算中採用梯度-牛頓聯合法求解reynolds方程和油膜厚度方程，採用步進法求解能量方程和熱界面方程，獲得了滿意的數值結果。 -
Based on the empirical equations used for calculating the cost of main and distribution pipes of gravity sprinkler irrigation project, equations for calculating. 4. economical hydraulic gradient, pipe length and the minimum cost of the main pipe were derived through theoretical analysis and mathematical transformation
3 .在建立的自壓噴灌工程主幹管和配水管道的造價計算經驗公式基礎上，通過理論分析和數學變換，推導得出了自壓噴灌主幹管經濟水力坡度、經濟管長和最低造價計算公式。 -
This paper deals with the solution for 200 000 order normal equations in combined adjustment of astro - geodetic and space networks by using conjugate gradient method, puts forward a scheme of adjusting the coefficients and a strategy of separation as well as mergence between the adjustment and inversion
本文研究了用共軛梯度法解算天文大地網與空間網聯合平差中20萬階法方程的有關問題，提出了「系數調整策略」和「平差與求逆既分又合的策略」 。 -
Analysis of two typical sorts of velocity gradient equations about s
2流面的兩類典型梯度方程的分析 -
( 2 ) on the basis of continuity equation, momentum conservation equation, energy conservation equation, and substantial equation, coupled thm governing equations are derivated with giving up the assumption of local thermal equilibrium, adopting thermal elasto - plastic constitutive relation, taking the effect of temperature gradient on groundwater seepage ( analogous to soret diffusion ) and the effect of viscous dissipation of groundwater on temperature field of rock mass into account
（ 2 ）根據連續性方程、線動量平衡方程和能量守恆方程以及相應的物性方程推導了飽和巖體溫度場-滲流場-變形場三場耦合作用控制方程組。在推導控制方程組時舍棄了「局部熱平衡」假設，採用了熱彈塑性本構關系，考慮了溫度梯度對地下水滲流的影響（類soret效應）以及地下水的粘性耗散對巖體溫度場的影響。 -
The structural vibrational equations for the former are also depicted. the disturbance torques imparted by space environment are analyzed, which include gravity gradient torque, solar pressure torque, aerodynamic torque and magnetic torque
對作用在衛星上的各種空間環境力矩進行了分析，包括重力梯度力矩、太陽光壓力矩、氣動力矩、剩磁力矩等。 -
According to heat load source of die cavity, temperature distribution gradient equations and heat flux equations and the peak value equations of temperature load at die cavity surface have been obtained with research of temperature distribution and transfer laws of die surface by unsteady heat transfer theory
摘要根據鍛模型腔熱負荷來源，通過非穩態傳熱理論，分析研究了模具工作表面層的溫度分佈與傳遞規律，給出了型腔表面溫度分佈梯度和熱流密度公式，並給出了鍛模型腔表面的溫度負荷峰值的計算公式。 -
The effective optimization design programs for different cases are developed by integrating the following several aspects which involves the flow analysis, adjoint equation solution, gradient solution, optimal arithmetic and grid generation. some practical design tests for airfoil and wing show that the continuous adjoint approach is very effective and useful method for aerodynamic optimization design. at the same time, we have done the research of aerodynamic optimum design for airfoils by using navier - stokes equations
（ 4 ）研究了基於控制理論和三維navier一stokes方程的優化設計理論，在計算坐標下詳細推導了該優化設計理論，得到了計算坐標系下描述的共扼方程數學描述形式，並以給定目標壓力分佈的氣動反設計為例，導出了相應的共扼方程邊界條件，以及關鍵的梯度求解具體表達形式，為了求解方便，把計算空間上描述共扼方程表達形式變換到物理空間中進行描述，通過與ns方程表達形式對比分析，最終給出了一種直觀的共轆方程表達方式。 -
Methods a set of mixed parabolic - gradient nonlinear equations was established based upon the principles of the developing neural biology, which was computed by the adi scheme and the modified euler ' s method
方法根據神經發育原理，建立具有一定剛性的非線性混合拋物型偏微分方程組，運用adi差分格式和改進的歐拉法作數值分析。 -
Based on the theory of mechanical optimization and finite element analysis, elbow - bar mechanism of the mp1040b moulding machines made by beiren group is investigated in the dissertation. firstly, a kinematic model representing the bar mechanism is built and the nonlinear system of equations is solved through the method of gradient. meanwhile, the angular displacement, angular velocity, angular acceleration and the corresponding curves of each component in a motion period are obtained
本文以北京人民機器廠mp1040b型模切機肘桿機構為研究對象，以機械最優化理論和有限元技術為基礎，首先對模切機肘桿機構建立數學模型，通過梯度法求解此非線性方程組，並得出機構在一個運動周期中各構件的角位移、角速度、加速度等運動參數及曲線。 -
In this paper, we consider mixed finit element methods for the initial - boundary value problems of two order hyperbolic equations and linear integro - differential equations of parabolic type, obtain the error estimates of the discrete schemes for this two kinds of problems. in chapter one, we consider the expanded mixed finite element methods for the followling 2nd order hyperbolic problems this method expands the standard mixed formulation in the sense that three variable are explixitly treated : the scalar unknwon, its gradient and its flux
本文討論了二階雙曲方程和線性拋物型積分微分方程方程初邊值問題的混合有限元方法，得到了這兩類問題混合有限元離散格式的誤差估計。第一章討論二階雙曲初邊值問題的擴展混合元方法。該方法能同時逼近未知函數、未知函數的梯度和流體的流量，較好的模擬了帶有混合型邊界條件的二階雙曲問題。 -
Abstract : in this paper, the maximum principles for fourth order nonlinear parabolic equations are proved. by using these maximum principles, the uniqueness theorem and gradient estimates for the solutions of some fourth order parabolic equations are obtained
文摘:文中證明了四階非線性拋物方程的最大值原理，利用這些最大值原理獲得了一些四階拋物型方程的解的唯一性定理和解的梯度估計 -
In the computation procedure of the above problems, efficient algorithms to perform sparse matrix were applied to saving computer memory units and cpu time. the conjugate gradient method and biconjugate gradient method were applied to solve the sparse systems of generated linear equations
為了減少計算機內存的需求和有效提高計算速度，本文在分析計算各類目標的電磁散射和輻射問題時，採用稀疏矩陣的存儲和壓縮技術，並運用共扼梯度和雙共轆梯度等方法求解線性方程組。 -
Firstly, the identification of the double medium system is considered, the existence, the uniqueness and the boundness of the solution of the system of the partial differential equations are proved by using the monotone method, the mathematical model of the parameter identification problem is established, and under some mild assumptions, the optimality system about the identification is derived, thus the suitable gradient methods can be employed to solving the identification problem. secondly, the theories of optimal control of distributed parameter system are introduced to investigate the parameters identification problem involving the three - dimensional population system
利用單調方法證明了正問題解的存在惟一性和有界性，建立了相應參數識別問題的數學模型，並給出了求解這類識別問題的最優化系，從而可利用適當的梯度法，實現對系統參數的識別；把分佈參數系統最優控制理論引入到具有多個識別參數的三維種群生態系統的參數識別問題之中，給出了參數識別問題最優解的存在性結論，證明了狀態方程的解對識別參數的連續依賴性和g （ -
This paper is investigated a preconditioned conjugate gradient method in solving a linear algebraic system of large sparse symmetric and positive equations
本文研究了解決大型稀疏對稱正定線性方程組的一類預條件共軛梯度法。 -
And the system of linear equations produced by the fem is solved by element - by - element conjugate gradient ( ebe - cg ) algorithm, which is associated naturally with finite element problems because both finite element and ebe - cg use similar minimization procedures
而且，有限元法產生的線性方程組使用ebe - cg演算法求解具有很好的發展前景，如將ebe - cg并行計算應用於地球物理電法勘探有著巨大的市場和經濟效益。
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