dispersion of difference scheme 中文意思是什麼

dispersion of difference scheme 解釋
差分格式的頻散
  • dispersion : n 1 分散，散開；散布，傳播；離散。2 【物理學】彌散，色散；【化學】分散作用；被分散物；分散相，分...
  • of : OF ＝Old French 古法語。
  • difference : n. 1. 差異，差別。2. 不和，爭論。3. 【數學】差，差額。4. 【邏輯學】特殊性。vt. 〈罕用語〉區別，使有差別。
  • scheme : n 1 計劃；方案；路線；設計。2 系統；配合；組織。3 綱目；表；清單；分類表；大綱。4 謀劃，策劃；詭...
  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. In chapter one, we propose a new mixed method called characteristics mixed finite element method for a convection - dominated diffusion problems with small parameter e : we handle the convection part whth backward difference scheme along the characteristics, obtain much smaller time - trunction errors and avoid numerical dispersion on the front of the peak curve of the flow : we use a lowest order mixed finite element method to deal with the diffusion part, so this scheme can approximate the unknow function and its following vector with high accuracy at the same time

    第一章中我們對小參數對流占優擴散問題提出了新的數值方法? ?特徵混合有限元方法，即對方程的對流部分採用沿特徵線的後退差分格式求解，以保證較小的截斷誤差限並避免了在流動的鋒線前沿數值彌散現象的出現；對流動的擴散部分採用最低次混合元方法求解，以保證格式對未知函數及伴隨向量的同時高精度逼近。由於該方法中檢驗函數可取分片常數，此格式在某種意義上具有局部守恆性質。
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