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Finally the magnetic field equation from maxwell ' s equations and the current circuit equation are given to complete the mhd equations 最后進行電流回路方程與磁流體力學方程組的耦合,并且補充電磁邊界條件,完善定解條件。
This paper presents the three - dimensional nonsteady temperature field equation including transfer of mass and heat , and conditions determining solutions 為了反映外界溫度和負載的變化,建立了含有傳質傳熱的三維非穩(wěn)態(tài)溫度場方程及其定解條件。
According to the newton ' s second law , the droplet trajectory equation is established , the flow field calculated by n - s equation is regarded as the base of droplet trajectory equation solved 根據牛頓第二定理,建立了水滴軌跡方程,將解n - s方程得到的流場解作為水滴軌跡方程的定解條件。
In addition , corresponding measures of initial condition and boundary condition are presented . to solve fluid problem , differential equations must be discretized in the computational field 為了求解泛定方程,本文在分析模擬對象流動特征的基礎上,給出了相應的定解條件,包括初始條件和邊界條件。
So the setup of various kinds of seepage differential equations as well as their solving terms , and methods in common use to analyze and calculate the seepage and stabilities are discussed in this paper 為此,本文論述了不同條件下滲流微分方程的建立及其定解條件,簡要介紹了常用的滲流計算和穩(wěn)定分析方法。
By introducing the variational adjoint method to the inversion of initial boundary values and parameters of the one - dimensional shallow water model , the related adjoint equations and adjoint conditions are deduced 摘要利用變分伴隨方法對一維淺水模式初始邊界值和模式參數的反演進行了理論分析,導出了伴隨方程及其伴隨定解條件。
The following is include : 1 . fundamentals : deducing the basic differential equation of saturated - unsaturated seepage in porous medium from fundamental physical equations . explaining the fundamentals of saturated - unsaturated seepage and its different initial and boundary conditions . 2 基本理論:主要從基本的物理方程出發(fā)推導出多孔介質中飽和、非飽和滲流的基本微分方程,闡述了飽和、非飽和滲流問題的基本概念及其不同的定解條件。
In the numerical solution algorithm , the method of characteristics , analytic method and galerkin finite element method ( galerkin - fem ) can be chosen to solve the advective equation , diffusion equations , reaction ( source / sink ) equations , propagation equations and pressure poisson equation , respectively . the developed new algorithm has been verified using analytical solution of circular conduit flow in a reynolds number range of 100 < re < 1 000 and experimental data of the laminar flow over a backward - step facing step . the flow properties are well characterized by this three - dimensional numerical model 本論文在評述三維粘性流動數學模型已有研究成果的基礎上,著重在數值計算方法的選擇和定解條件的給定對數學模型計算結果的影響進行了研究,并首次提出了求解三維純對流方程的高精度的擬協調單元法,建立了三維低雷諾數re流動的數學模型,并在圓管流動、臺階突擴矩形管道流動中得到驗證和應用。
Based on modern optimization theory and optimal control theory , this dissertation studies some questions as follows : 1 . the optimization model of parameter identification of three - dimensional geologic history numerical simulation , algorithm and its application geologic history numerical simulation is a basic content of basin numerical simulation , and the porosity is the major parameter in the evolution and development process of oil - bearing basin . according to the sedimentation and burial mechanism , the physical and chemical principles of oil geology , the mudstone porosity ' s non - linear parabolic partial differential equation has been established 本文應用現代最優(yōu)化及最優(yōu)控制理論,對如下一些問題進行了研究: 1 、三維地史數值模擬的參數辨識優(yōu)化模型、算法及應用地史模擬是盆地數值模擬的一個基礎性的研究內容,地層孔隙度是含油氣盆地地史演化發(fā)育過程中的重要參數,根據地層沉積埋藏機理和石油地質的物理化學原理,通過引入數學物理方程概念,建立了泥巖三維孔隙度場方程,根據問題的特點,給出了方程的定解條件,對方程的動邊界也給出了處理方法,并且證明了解的存在性與惟一性,在此基礎上建立了以當今實測數據為擬合準則的三維地史數值模擬的參數辨識優(yōu)化模型,這是一個含有二階偏微分方程約束的泛函極值問題。
The primary contents are as follows : ( 1 ) based on the fundamental seepage physical equation , the basic differential equation of saturated - unsaturated seepage in porous mediums has been deduced , in which the pressure head is the fundamental unknown quantity . a calculated model for analysis of saturated - unsaturated seepage field with the boundary condition of rain infiltration also has been developed 總體說來,本文主要從以下幾個方面開展了研究: ( 1 )由基本滲流物理方程出發(fā),以壓力水頭為基本未知量推導多孔介質三維飽和?非飽和滲流微分方程,在此基礎上分析了邊坡在有降雨入滲條件下滲流的定解條件和計算模型。