高階有限差分 的英文怎麼說

中文拼音 [gāojiēyǒuxiànchāfēn]
高階有限差分 英文
higher-order finite difference
  • 高 : Ⅰ形容詞1 （從下向上距離大; 離地面遠） tall; high 2 （在一般標準或平均程度之上; 等級在上的） above...
  • 階 : 名詞1. （臺階） steps; stairs 2. （等級） rank 3. [醫學] （耳蝸的三個螺旋管的任一個） scala 4. [數學] order 5. [地質學] stage
  • 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
  • 高階 : high [higher] order高階導數 higher derivative; higher order derivative; derivative of higher orde...
  • 有限 : limited; restricted; finite; a little; not much
  1. In this paper, high - order accurate weighted essentially non - oscillatory ( weno ) schemes are investigated and their applications in hyperbolic conservation laws are discussed. based on this, a new weno difference scheme which based on dispersion - relation - preserving relation is developed, and representative test cases with this scheme for computational aeroacoustics ( caa ) problems has been implemented and compared in order to test capability of wave capturing ; in addition, weno schemes generally do not converge at high order in the presence of contact discontinuity of euler equations, so a conservative front tracking technique coupling weno schemes and level set method to simulate the translating density profile is presented here, and numerical simulation with this technique for representative test case has been implemented and results show the desired accuracy

    本文研究了高階精度加權基本無振蕩（ weno ）格式及其在雙曲守恆律方程中的應用，在此基礎上作了兩個方面的工作：一是針對高頻聲波問題構造出一種基於保色散關系（ drp ）的weno有限差分格式，並對計算氣動聲學（ caa ）問題的代表性算例進行了大量數值實驗，比較了該格式捕捉波數的能力；另外，針對高階weno格式在處理euler方程的接觸間斷時精度有所降低的問題，研究了利用界面追蹤技術levelset方法和高階激波捕捉weno格式相結合的一種守恆追蹤方法，並且給出有代表性的密度滑移面問題的算例，得到一致高階精度的數值模擬結果。
  2. 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。
  3. The regional deformation anomaly of medium - term phase ( 1 ~ 3 years or more ) before strong earthquake occurrence usually shows three aspects of common characteristics : for regional vertical deformation, it shows distribution features of anomalous uplift area and concentration belt - high gradient belt of vertical differential deformation ( some of them reflect distribution of four quadrants ) related to tectonics ; for horizontal movement, it shows features of centralized high strain area ( or zone ) of domination shear deformation related to active blocks and faults ; it shows common features of regional vertical deformation anomaly area and high strain distribution area of horizontal deformation

    摘要強震前中期階段（ 1 ~ 3年或稍長）區域性形變異常往往表現出3個方面的共性特徵：區域垂直運動變形呈現與構造有關的異常隆起區、垂直差異變形高梯度帶（有的還呈「四象限」 ）分佈特徵；水準運動變形呈現與活動地塊及斷裂構造有關的、以剪切變形?主的高應變集中區（帶）特徵；區域性垂直形變異常區與水準形變的高應變分佈區共性的特徵。
  4. In this dissertation, the numerical computation for the acoustic radiation problem ( arp ) is studied deeply and systematically in the theory, method and the application technique, based on analyzing the situation of the home and abroad on the numerical computation for the acoustic radiation problem. the calculation formulas of the boundary element method ( bem ) for the exterior acoustic radiation problem in the full - space and half - space are deduced, based on the wave propagation theorem ; the arising of the non - unique solutions, which is associated with the application of the boundary integral equation ( bie ) in acoustic radiation problem, is analyzed and proofed ; the improved combined helmholtz integral equation formulation ( ichief ) is presented to overcome the non - uniqueness problem more effectively and reliably ; the determination of the singular integral coefficients on various occasions is analyzed ; the properties and treatments of the singular integrals with different orders axe studied ; the computation program of the cubic spline ichief is developed and its ability to overcome the non - uniqueness problem and feasibility to discrete the surface coarsely with the sufficient calculation precision are examined through examples

    第二章在聲波動理論基礎上，詳細地推導出對應于無限域和半無限域的外部振動聲輻射問題的邊界積分方程計算公式；根據fredholm積分理論，對利用邊界積分方程計算振動聲輻射問題過程中解的非唯一性的產生進行了分析和證明；改進了chief法以提高其克服解的非唯一性的有效性和可靠性；對不同條件下奇性系數的計算、強奇性積分的收斂性及其在變量替換時與普通積分的差異性、不同階奇性積分的計算、數值求積分等進行了研究；開發了三次樣條改進chief法計算軟體，並通過算例考核了該方法在特徵波數處克服解的非唯一性的有效性和在保證計算精度的前提下實現剖分粗化以提高計算效率的可行性。
  5. According to the contemporary encouragement theory and the constitution of salary system, the text has analyzed the human resource encouragement of medium and small enterprises, which make a contribution to the improvement of the managing level of medium and small enterprises. firstly, it introduces the factor of salary influence, the form of salary system both within the country and abroad. the fruit of the encouragement theory, and some of basic methods which enterprises " supervisors used to encourage the employees

    文章後面部分以南溪縣鵬程化工實業有限公司的薪金制度為例，對薪金制度的設計、原則、內容等作了仔細研究，明確提出薪金收入差別不宜過大，高層管理人員年收入為企業員工的三倍，中層人員的年收入為基層員工的一點五倍，還對涉及薪金制度的工作分析、勞保福利進行了闡述，說明在現階段，薪金仍是廣大勞動者的最重要的激勵因素。
  6. 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。
  7. 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。
  8. It is well known that the coupled interactions between the ship hull and the surrounding fluid field of explosion give rise great influence to both the fluid loadings over the structural wetted surface and the responses of the hull. jt is the coupling effect that provides the major difficulties in the underwater explosion induced dynamic responses of the ship structure. the second order doubly asymptotic approximation method ( dda2 ) has been commonly employed in the world to deal with the coupling effect

    本文針對daa方法不適合於分析敷有聲阻抗與水差不多的聲學材料（如玻璃鋼與消聲瓦）的船體結構與水下沖擊波相互作用的局限性，依據聲波的反射和透射原理對二階daa方法的高頻段進行了改進，發展並提出了能夠分析聲學材料流固相互作用的adaa方法（ acousticdaa ） ，拓展了應用范圍，使現有的二階daa方法成為它的一個特例。
  9. The numerical solutions obtained in computation of riemann problem are satisfied. hyperbolic conservation laws with stiff source terms could describe the effect of relaxation as in the kinetic theory of gases, water waves and traffic flows, etc. the gauss schemes with staggered grids for hyperbolic conservation laws are applied to solve hyperbolic conservation laws with stiff source terms, a class high resolution schemes for hyperbolic conservation laws with stiff source terms are presented. these schemes are the second order accurate and tvd under the restriction of cfl condition, convergence of these schemes are proved

    本文將求解雙曲守恆律方程的交錯網格的gauss型差分格式，應用於求解含有剛度源項的雙曲守恆律，構造了一類具有高分辨，計算簡便等優點的求解含有剛度源項的雙曲守恆律的交錯網格的gauss型差分格式，證明該格式為一致二階精度的格式，證明了該格式在cfl條件限制下為tvd格式，並證明了該格式的收斂性。
  10. Three - dimensional numerical simulation of elastic wave propagation in 3 - d anisotropic media with staggered - grid high - order difference method

    三維各向異性介質中彈性波方程交錯網格高階有限差分法數值模擬
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