曲率鬆弛 的英文怎麼說
中文拼音 [qūlǜsōngchí]
曲率鬆弛
英文
curvature relaxation-
The hyperbolic conservation laws with relaxation appear in many physical systems such as nonequilibrium gas dynamics, flood flow with friction, magnetohydrodynamics, etc. firstly, the thesis proves that there exists a unique global smooth solution for the cauthy problem to the hyperbolic conservation laws system with relaxation ; secondly, in the large time station, the thesis proves that the global smooth solutions of the hyperbolic conservation laws system with relaxation converge to rarefaction waves solution at a determined l ( p > 2 ) decay rate
帶鬆弛項的雙曲型守恆律組出現在諸多的物理系統中。例如，非平衡態的氣體動力學、帶摩擦的水流、磁動力學等。本文首先證明，帶鬆弛項的雙曲型守恆律組的柯西問題的整體光滑解的存在唯一性；其二，證明了帶鬆弛項的雙曲型守恆律組的解與相應的平衡態守恆律的稀疏波解在大時間狀態下的l ~ p衰減率。By successful solution of non - linear magnetic fields and revision of the program, we can reach following conclusions : in the computation of nonlinear magnetic fields, if iteration method is used, under - relaxation is necessary when amending the permeability distribution in soft magnetic materials ; and when < wp = 5 > calculating the equivalent current density in permanent magnets, under - relaxation is not a necessity ; when searching for permeability values by interpolation method on the demagnetization curve of soft magnetic materials, if a fixed saturation point is set, around this point an abrupt change of permeability values will be obtained ; this sudden change may cause a little problem in the smoothness of magnetic field distribution ; because the magnetic circuits of microwave tubes are too complicated, in the author ' s view, to describe the working state of a magnet system, the working points of magnets can not do it properly but average energy production of magnets will serve ; as to indicate the quality of a magnet system design for microwave tubes, the efficiency of magnetic energy utilization will be a very good criterion
由此得出結論，在非線性磁場計算中：採用迭代法的情況下，在各迭代循環之間進行磁導率修正時，一個欠鬆弛迭代過程是必需的；對永磁體中的等效電流修正時可以不作欠鬆弛迭代；在純鐵的磁化曲線上指定某一個固定的磁感應強度為磁飽和值，會使得插值求出的磁導率在該磁飽和值附近有一突變，這一突變對計算結果中磁場分佈變化的光滑性稍有影響。在微波管磁系統設計中，由於微波管磁路比較復雜，作者認為磁體的工作點並不能很好地反映磁體的工作狀態，而採用平均磁能積為衡量磁體工作狀態的標準更加符合微波管磁系統的實際情況；要表示磁系統設計好壞的程度，則用磁能利用的效率為標準更好。In chapter 1, the thesis studys the following cauthy problem to hyperbolic system with nonlinear relaxation term we prove that for the initial value with bounded c1 norm, there exists a unique global smooth solution for the cauthy problem ( 1 ), ( 2 ) ; in chapter 2, the thesis considers the following hyperbolic system with relaxation term and the sclar conservaton law equation when e is fixed, for a certain class of initial data, in the large time station, the thesis gets a determined lp ( p > 2 ) decay rate between the golbal smooth solutions of system ( 3 ) and the rarefaction waves solution of equation ( 4 )
在第一章中，研究如下帶非線性鬆弛項的雙曲組的柯西問題證明了，對c ~ 1模有界的初值，柯西問題（ 1 ） ， （ 2 ）存在唯一的整體光滑解。在第二章中，考慮如下帶鬆弛項的雙曲組和單守恆律方程u _ t + f （ u ） _ x 0 ， （ x ， t ） r r ~ + 。 （ 4 ）當固定時，對一類初值，得到方程組（ 3 ）柯西問題的整體光滑解與方程（ 4 ）的稀疏波解間在大時間狀態下的l ~ p （ p 2 ）衰減率。The node force corresponding to damp was used to control the mesh distortion. numerical studies show that the method proposed by this paper can successfully control the severe distortion of mesh and retain the density of elements during the membrane form - finding when the damp viscosity coefficient is in a limited scale. especially this method can avoid the sparseness of mesh in the location of lower curvature and have good convergence characteristic
同時針對找形分析中的動力鬆弛格式，本文提出了全新的控制網格變形的動力鬆弛法，此方法能夠有效地解決膜結構找形分析中網格的大變形問題，克服了在曲率較小處網格過于稀疏的缺陷，在曲率較小處保證了單元的密度和初始構形的精度，並且收斂性較好，為準確進行荷載分析和裁剪分析奠定了基礎。分享友人