multipole expansion 中文意思是什麼
multipole expansion
解釋
多極擴散-
The major work is as follows : solution of two dimensional radiation or diffraction fluid field. this thesis extends multipole expansion method to adapt to disturbed fluid fields of 2d floating bodies with asymmetric forms, which is applied with symmetric forms originally. and given the solution of potential velocity and hydrodynamic pressure of radiation and diffraction fluid fields, which is incited by a 2d arbitrary form, actual application field of the multipole expansion method has been enlarged
關於二維擾動流場的求解：將通常僅適宜求解具有對稱形狀二維物體擾動流場的多極展開法（保角變換方法）擴展至非對稱形狀二維物體，給出了任意形狀二維物體的輻射和繞射流場的速度勢及水動壓力的頻域解，進一步擴大了多極展開法的實際應用范圍。 -
Implementation of the fast multipole expansion technique in the higher order bem
快速多極子展開技術在高階邊界元方法中的實現 -
After solution of radiational and diffractional fluid field of asymmetrical sections by applying the multipole expansion method, wave loads on damaged ships are calculated by the linear strip theory under the non - upright floating condition, taking the effect on the heel angle and trimming angle caused by the damaged tank inundation below waterline into account
然後採用線性切片理論，計及水線以下破損后船舶由於艙室進水產生的橫傾角與縱傾角的影響，利用多級展開法求解非對稱剖面的二維輻射和繞射流場，計算了破損船體非正浮狀態條件下的波浪載荷。 -
Here are some references for nrqcd & nrqed : renormalization group scaling in nonrelativistic qcd on the multipole expansion, the qcd heavy quark potential to order v * * 2 : one loop matching conditions on matching calculations
11下面是非相對論性量子色動力學和非相對論性量子電動力學的一些參考資料：關于多極展開的非相對論性量子色動力學中的重整化群定標，關于匹配計算的v * * 2階的量子色動力學重夸克勢：單圈匹配條件。 -
From the exact expression of the field, we obtain a multipole polynomial expansion, and under the paraxial condition we furthermore obtain the approximate expression. the loffe trap, consisting of two coils with parallel currents and four straight conductors with currents in alternating directions, is one of the most important traps. we specially study the field structure of it by using both the exact expression and a multipole polynomial expansion that facilitates studies of classical or quantum orbits. if the region near the origin is of interest, we may obtain a simple expression of the field and this configuration may be called idealized loffe trap
若只討論阱中的近原點區域時，阱中的磁場可以呈現出一種簡潔的形式，人們把它稱為理想ioffe阱。磁矩反平行於磁場的中性粒子在阱中與磁場發生相互作用，藉助相互作用勢，可以獲得粒子在阱中的經典運動方程。在一定的近似條件下，我們可以採用逐次近似的方法，使方程簡化，其中三個分量式中關于z的方程比較容易求解，而關于x 、 y的方程則演化為我們熟悉的馬丟方程的形式。 -
Secondly, proportional arc length method is used to conformal mapping process of asymmetry sections so as to solute the 2d radiation problem with the method of multipole expansion. on the basis of above, 3d hydrodynamic coefficients are given and motions of the container ship flokstra are predicted considering the initial heel
然後，採用比例弧法對全剖面進行保角變換並在此基礎上用多極展開法計算非對稱剖面的輻射流場，進而採用切片理論合成全船的水動力系數並對flokstra集裝箱船進行了考慮橫傾影響的運動響應預報。
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