計(jì)算流體力學(xué)原理

內(nèi)容概要

《計(jì)算流體力學(xué)原理》是為從事流體計(jì)算的研究生、科研人員、工程師和物理學(xué)家而寫。本書首先介紹計(jì)算流體動(dòng)力學(xué)中的數(shù)值方法的現(xiàn)狀；運(yùn)用基本的數(shù)學(xué)分析，詳盡闡述數(shù)值計(jì)算的基本原理；然后討論流域和非一致結(jié)構(gòu)化邊界適應(yīng)網(wǎng)格的幾何復(fù)雜性帶來(lái)的困難；研究奇異擾動(dòng)問題的一致精確性和效率，指出大雷諾數(shù)情形下精確計(jì)算流的方法；特別討論了穩(wěn)定性分析，給出在許多實(shí)際算法中有價(jià)值的穩(wěn)定性條件，其中某些條件是新的；敘述計(jì)算可壓縮流和不可壓縮流的統(tǒng)一方法；給出了狹窄水漕方程的數(shù)值分析；論述了雙曲守恒律；討論了戈杜諾夫階障礙及如何利用有限斜率格式加以克服。簡(jiǎn)要介紹了運(yùn)用克雷洛夫子空間理論和多重網(wǎng)格加速的有效的解的迭代方法。本書還包括許多最新的文獻(xiàn)，以幫助讀者迅速了解當(dāng)前的研究前沿。

作者簡(jiǎn)介

作者：(荷蘭)韋斯林

書籍目錄

Preface1. The basic equations of fluid dynamics  1.1 Introduction  1.2 Vector analysis   1.3 The total derivative and the transport theorem  1.4 Conservation of mass  1.5 Conservation of momentum  1.6 Conservation of energy  1.7 Thermodynamic aspects  1.8 Bernoulli s theorem  1.9 Kelvin s circulation theorem and potential flow  1.10 The Euler equations   1.11 The convection-diffusion equation  1.12 Conditions for incompressible flow  1.13 ZTurbulence  1.14 Stratified flow and free convection  1.15 Moving frame of reference  1.16 The shallow-water equations2. Partial differential equations: analytic aspects  2.1 Introduction  2.2 Classification of partial differenial equations   2.3 Boundary conditions  2.4 Maximum principles  2.5 Boundary layer theory3. Finite volume and finite difference discretization on nonuniform grids  3.1 Introduction  3.2 An elliptic equation  3.3 A one-dimensional example  3.4 Vertex-centered discretization  3.5 Cell-centered discretization  3.6 Upwind discretization  3.7 Nonuniform grids in one dimension4. The stationary convection-diffusion equation  4.1 Introduction  4.2 Finite volume discretization of the stationary convection-diffusion equation in one dimension  4.3 Numerical experiments on locally refined one-dimensional grid  4.4 Schemes of Positive type  4.5 Upwind discretization  4.6 Defect correction  4.7 Peclet-independent accuracy in two dimensions  4.8 More accurate discretization of the convection term5. The nonstationary convection-diffusion equation  5.1 Introduction  ……6. The incompressible Navier-Stokes equations7. Iterative methods8. The shallow-water equations9. Scalar conservation laws10. The Euler equations in one space dimension11. Discretization in general domains12. Numerical solution of the Euler equations in general domains13. Numerical solution of the Navier-Stokes equations in general domains14. Unified methods for computing incompressible and compressible flowReferencesIndex

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　　《計(jì)算流體力學(xué)原理》(影印版)(精裝)還包括許多最新的文獻(xiàn)，以幫助讀者迅速了解當(dāng)前的研究前沿。《計(jì)算流體力學(xué)原理》是為從事流體計(jì)算的研究生、科研人員、工程師和物理學(xué)家而寫。

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