歐拉方程式 的英文怎麼說
中文拼音 [ōulāfāngchéngshì]
歐拉方程式
英文
eulers equation- 歐 : 名詞1. (姓氏) a surname 2. (歐洲的簡稱) short for europe
- 拉 : 拉構詞成分。
- 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...
- 式 : 名詞1 (樣式) type; style 2 (格式) pattern; form 3 (儀式; 典禮) ceremony; ritual 4 (自然科...
- 方程式 : capeta
-
Due to the moving base existence of the minehunting and the frame structure characteristic of the sonar array, a new modeling thought in which the boat body coordinates is regarded as moving coordinates and the whirligig equation of sonar array compared with the self coordinates is founded on the basis of the euler ' s theorem and the coordinate transform is introduced. the dynamic equations of minehunting sonar array with the state matrix form are founded by settling the dynamic models with the vector form. so it offers theory foundation for analyzing the dynamic characteristic and designing robust control
由於獵雷艇作為動基座的存在和聲納基陣的框架結構特點,提出了以艇體坐標系為運動坐標系,運用變形的歐拉定理和坐標變換建立聲納基陣相對自身坐標系的旋轉運動方程的建模思想;將所建立的矢量形式的動力學模型展開整理,獲得了狀態矩陣形式的獵雷聲納基陣動力學方程,為系統動力學模型的實用化奠定了基礎。Compared with octree data structure, the omni - tree data structure could reduce the meshes " total numbers and get better mesh quality. this paper uses cell - centered finite volume spatial discretization and four - stage runge - kutta time - stepping scheme with some convergence acceleration techniques such as local time stepping and enthalpy damping
在流場計算中,本文採用格心格式的有限體積法用二階中心差分對歐拉方程作空間離散,用四步龍格庫塔方法作顯式時間推進。The numerical simulation of axisymmetric two - dimensional shock tube is studied, which has a conical convergent section, and its driving gas is the hot product of hydrogen oxygen detonation. finite volume tvd scheme is adopted and the mesh is local orthogonal. the primitive equations are euler s equations of multi - component flow. the new method of eliminating numerical oscillation at the interface of two materials is extended to two dimensions. the mechanical character of this shock tube is analyzed
對由前向爆轟產生驅動氣體並具有局部錐形收縮截面的軸對稱激波管利用兩相常比熱完全氣體的歐拉方程組和有限體積tvd格式在局部正交的網格上進行了二維數值模擬。將消除兩種介質界面處數值振蕩的新方法成功地推廣到二維情況。分析了該激波管的力學特性。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。The classic difference scheme of euler is employed to solve the forward problem, and the truncated singular value decomposition is used to solve the ill - conditioned system of algebraic equation
用古典歐拉差分格式求解正問題,用截斷奇異值分解法求解病態方程組。But anthony trewavas, a biochemist at the university of edinburgh, counters that organic farming actually requires more energy per tonne of food produced, because yields are lower and weeds are kept at bay by ploughing
但是愛丁堡大學的安施歐尼.崔瓦拉斯反對說,採用有機耕作方式每噸糧食實際上需要更多能源,因為產出更低而且耕作過程中還要拔除雜草。We practically applied the wnnd scheme to solve scalar conservation laws and euler system in one dimension and n - s equations in two and three dimensions. the numerical results of wnnd schemes indicated good shock transitions without any noticeable oscillations and uniformly high accuracy in smooth regions. the wnnd scheme could catch the detail o f the flow field more particularly
本文應用wnnd格式數值模擬求解了一維標量方程、一維歐拉方程、二維n ? s方程和三維n ? s方程,數值結果表明, wnnd格式在激波附近基本無波動,且在解的光滑區保持空間的統一高階精度,較之nnd格式, wnnd格式能夠更高解析度的捕捉到流場細節。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。At the beginning of fourth chapter, the article transforms the solving problem of partial differential equation for the american put price into a standard initial and boundary value problem of parabolic type by making some transformations. afterwards, the solving problem of parabolic type is transformed into a initial value problem of ordinary differential equation with respect to through fourier transform again. at the last section of the fourth chapter, the article solves the initial value problem with the progressive euler method and the finite element method
在第四章,對美式看跌期權價格所滿足的偏微分方程定解問題通過作一系列變換,使之轉化為一個標準的拋物型初、邊值問題,接著又通過傅里葉變換,把拋物型初、邊值問題轉換為一個關于時間變量的常微分方程初值問題,然後再分別利用改進的歐拉法和有限元法對其進行了求解。In chapter two, sph is comment ed synoptically, its fundamentals is reviewed, and sph formulae of euler equations are derived. in chapter five, several fundamental problems occurring in sph implementation are discussed detailedly, e. g
文中第二章在概括性地予以評述之後,系統地介紹了sph方法的基本原理,推導出歐拉方程的sph形式。We generated its grid surface on the fuselage or missile body according to the geometry projection relation between aerodynamic components and the bilinear interpolation approach. finally, we successfully developed a new algebra grid generation technique in virtue of the improved four - boundary interpolation. in this thesis, we put emphasis on the researches of aerodynamic inverse design and drag reduction questions for airfoil and wing using euler equations and control theory proposed by jameson
( 2 )進行了應用控制理論和二維歐拉方程的翼型氣動反設計,以及有升力約束情形下翼型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的數學形式,並給出了相應的梯度求解公式形式,研究發展了共軛方程及梯度的數值求解方法,成功進行了多個翼型的反設計和減阻問題研究。Two - order enhanced un - split finite volume euler method for multi - fluid flow, which combines the roe approximate riemann solver, is developed to simulate the multi - fluid interactions, such as the fluid described by polynomial eos, stiffen gas eos, jones - wilkins - lee ( jwl ) gaseous explosive eos, cochran - chan ( cc ) solid explosive eos and hom shock wave eos, etc. numerical results of the id, 2d and 3d multi - fluid interaction examples show that the high - resolution method and interface capturing equations can resolve the multi - fluid flow correctly and successfully. a simple fluid - mixture type ppm algorithm for multi - fluid flow, which is based on vof interface capturing method and resolved by langange / remap two steps, is developed to simulate the high density or high pressure ratio flow at both sides of the interface
本文提出了實用於多介質流體的增強型二階精度有限體積歐拉數值計算方法,採用roe方法近似求解riemann問題,可以適用於多項式狀態方程、 「 stiffengas 」狀態方程、 jones - wilkins - lee爆轟產物狀態方程、 cochran - chan固體炸藥狀態方程以及hom狀態方程等,並對多介質流體相互作用的一維、二維、三維問題進行數值計算,數值驗證了本文給出的高精度差分格式和界面捕捉方法的正確性,兩種方法耦合形成的多介質流體數值計算方法是成功的。In this paper, the reasonable measures of stress and strain and the right expression of geometric equation and continuity condition are pointed
對于歐拉表達式中的幾何方程和連續條件,文中指出應採用合理度量及正確表達式。When ignoring the influence of deformation, the constitutive relation can be reduced to that of jaumann derivative
當忽略變形率的影響時,歐拉表述的大變形固結本構方程可退化為通常的jaumann率形式。The dynamics problem of the robot is analyzed and the explicit solution of dynamics equation is given by lagrange method that established the foundation of dynamics optimization. the dynamics equation is established by newton - euler formula, and the joints ’ moment is worked out and simulated with matlab. finally, by considering principal axis, a 7 - dof tow placement robot is formed
對鋪絲機械手的動力學問題進行了分析,採用拉格朗日方法推導出具有顯式結構的動力學方程,為后續的動力學優化打下了基礎;通過牛頓-歐拉遞推公式建立起封閉形式的動力學方程,計算出各個關節所需的驅動力矩,並用matlab程序進行了模擬。分享友人