Part I Basic Thoughts and Equations
1 Philosophy of Computational Fluid Dynamics
1.1 Computational Fluid Dynamics:Why?
1.2 Computational Fluid Dynamics as a Research Tool
1.3 Computational Fluid Dynamics as a Design Tool
1.4 The Impact of Computational Fluid Dynamics-Some Other
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Part I Basic Thoughts and Equations
1 Philosophy of Computational Fluid Dynamics
1.1 Computational Fluid Dynamics:Why?
1.2 Computational Fluid Dynamics as a Research Tool
1.3 Computational Fluid Dynamics as a Design Tool
1.4 The Impact of Computational Fluid Dynamics-Some Other
1.5 Computational Fluid Dynamics:What Is It?
1.6 The Purpose of This Book
2 The Governing Equations of Fluid Dynamics: Their Derivation,a Discussion of Their Physical Meaning,and a Presentation of Forms Particularly Suitable to CFD
2.1 Introduction
2.2 Models of the Flow
2.3 The Substantial Derivative(Time Rate of Change Following a Moving Fluid Element
2.4 The Divergence of the Velocity:Its Physical Meaning
2.5 The Continuity Equation
2.6 The Monetum Equation
2.7 The Energy Equation
2.8 Summary of the Governing Equations for Fluid Dynamics
2.9 Physical Boundary Conditions
……
3 Mathematical Behavior of Partial Differential Equations: The Impact on CFD Part II Basics of the Numerics
4 Basic Aspects of Discretization
5 Grids with Appropriate Transformations
6 Some Simple CFD Techniques: A Beginning
Part III Some Applications
7 Numerical Solutions of Quasi-One-Dimensional Nozzle Flows
8 Numerical Solution of a Two-Dimensional Supersonic Flow: Prandtl-Meyer Expansion Wave
9 Incompressible Couette Flow: Numerical Solutions by Means of an Implicit Method and the Pressure Correction Method
10 Supersonic Flow over a Flat Plate: Numerical Solution by Solving the Complete Navier-Stodes Equations Part IV Other Topics
11 Some Advanced Topics in Modern CFD: A Discussion
12 The Future of CFD
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There is a subtle difference between the integral and differential forms of the governing flow equations which is best noted at this stage. The integral form of the equations allows for the presence of discontinuities inside the fixed control volume(fixed in space); there is no mathematical reason to assume otherwise. However, the differential form of the governing equations assumes the flow properties are differentiable, hense continuous. This is particulary evident when we use the devergence theorem to derive the differential form from the integral form--the divergence theorem assumes mathematical continuity. This is a strong argument for the integral form of the equations to be considered more fundermental than the differential form. This consideration becomes of particular importance w... (查看原文)
This motivation is driven by more than just trying to minimize the truncation error with closely spaced points; it is also a matter of simply having enough grid points to properly capture the physics of the flow(in those regions of the flow where large gradients in the flow-field properties exist). (查看原文)
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安德森 作者
0 有用 按钮 2010-05-15 23:21:40
爱死它了。
0 有用 麥-Albatross 2017-02-15 22:13:36
CFD入門之一，目前還沒入門的我好著急
0 有用 Zerg 2013-08-31 16:39:35
科普地给出了流体方程的推导，有限差分求解方法。非常清晰的思路图是一大亮点。对黏性部分解释模糊，给出的航空方面的案例不够亲民，没有配套的源代码。
1 有用 阅微草堂 2014-04-20 22:39:23
重视方程的物理意义。对于算法不同的方程形式有不同的意义，这个对于沉浸在理论中，有更深层次的思考
1 有用 平安北道鐵山郡 2016-10-26 16:59:09
虽然第一部分作者仅仅是为了给后面引入Cfd作铺垫稍微讲了下流体经典动力学，但这却是我读到过把这部分讲得最为清晰的教材。作者从一开始就把教材模块化地呈现给读者，展现他写教材的思路，读起来简直就是醍醐灌顶。我在输运公式那里迷糊了好久，别人四张图，一点即透。国内教材真要好好学学。