boltzmann equation 中文意思是什麼
boltzmann equation
解釋
玻耳茲曼方程-
Formal invariability of canonical equation of nonholonomic system boltzmann - hamel
正則方程的形式不變性 -
For the ten years of late, the cellular automata has made the new progress in hydy nimiee dynamices. by gaining the moment equations from lattice boltzmann equation and using chapman - enskog expansion, the fluid dynamices equation and energy equation of 13 - bit lattice gas automata model with polyvelocity have been deduced. the validity of the model using for non - isothermal fluid dynamics has been proved
近十年來，細胞自動機已在流體力學的研究中取得了進展，應用13 - bit多速格子氣自動機模型，在由格子boltzmann方程求得矩方程的基礎上，根據chapman - enskog展開方法，導出了該模型的宏觀熱流體力學方程，從理論上證明了所建模型對熱流體力學問題描述的正確性。 -
In this work, we detailedly introduced the whole ideas of rkdg finite element method and the theory of constructing gas - kinetic schemes based on boltzmann equation. and then presented a kind of new computational method for solving id and 2d compressible euler equations, i. e. firstly, we discretize euler equations in the space with discontinuous galerkin finite element method ; secondly, we discretize temporal variable t with runge - kutta formula ; thirdly, for numerical fluxes constructing, we give two kinds of different numerical fluxes - kfvs and bgk numerical fluxes by using gas - kinetic schemes
本文分別對rkdg有限元方法的整個思想和基於boltzmann方程的分子動力學格式的構造思想給予了詳細的介紹，並分別結合rkdg有限元方法與kfvs數值通量和bgk數值通量的構造方法，給出了一種求解一維、二維可壓縮流體力學方程組新的計算方法，即，我們先用間斷有限元方法進行空間離散，然後再對所得到的半離散格式使用runge - kuttatvd方法進行時間離散，得到全離散格式。 -
6. on the base of the two - phase flow theory, the paper studies the velocity distributing of solid - liquid two - phase flow, acquires the distributing function of velocity and consistence, on the other hand, studies the loosing during flow, and gets the movement equation of solid - liquid two - phase flow. finally, the paper analyzes the flow characters of solid - gas two - phase flow, put forwards the boltzmann equation, gets the critical condition of slope angle tg a > tg ( p1, and brings forwards the relevant m
（ 6 ）分別應用二相流理論研究了固液型碎屑流流速分佈，得出了流速分佈及濃度分佈的方程式，並進一步研究了固液型碎屑流流動過程的弛豫現象，得出了固液型碎屑流的運動方程；同時，分析了固氣型碎屑流（即干碎屑流）的運動特點，給出了固氣型碎屑流的boltzmann方程，得出了干碎屑流的臨界坡角條件哈a2igs 』 ，並給出了滿足此條件下干碎屑流的運動方程。 -
According to the mathematic modeling principle of physical problem, the error of lattice boltzmann model is analyzed in chapter 3. the nonlinear deviation term from the navier - stokes equation is given, and the main model coefficients, such as speed of sound, viscosity and so on, are verified by numerical computation, the results show that the lattice boltzmann method has second order precision in space and in time which satisfy the engineering application, whereas, the compressible effect ca n ' t be neglected along with mach number increasing, and must be reduced or eliminated
其次，按照物理問題數學建模的原則，對格子法的誤差進行了分析，給出了格子bgk方程再現navier - stokes方程時的壓縮誤差項，並數值驗證了格子模型的聲速及粘性系數等相關參數的精度，表明格子模型盡管具有時空二階精度，能滿足工程計算的要求，但隨著mach數增大，壓縮誤差逐漸成為主要誤差，必須予以消除。 -
After the coordinate transformation, the discrete velocity boltzmann equation is solved directly in computational domain to preserve the geometry of body. the results comparison of cylindrical couette flow at different size meshes, different lattice bgk models and different algorithms shows that, not only the precision of the incompressible lattice bgk model is satisfactory, but also the curvilinear coordinate algorithm is efficient
首先計算了存在理論解的圓柱couette流動，並針對不同數目的離散網格、不同格子模型以及不同坐標系演算法，對結果進行了比較，不僅再次印證了本文第四章給出的不可壓格子模型具有滿意的計算精度，而且表明本章的貼體坐標演算法是行之有效的。 -
One are the microscopic models, namely the kinetic models based on semiconductor boltzmann equation
一類是微觀模型，即以半導體玻爾茲曼方程為基礎的動力學模型。 -
A mortar finite element method for linear poisson - boltzmann equation
有限元方法的數值計算 -
Spectral and discontinuous finite element method for boltzmann equation
方程譜間斷有限元方法
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