流体力学の数学モデル（第２版） Mathematical Models of Fluid Dynamics : Modelling, Theory, Basic Numerical Facts. An Introduction （2nd, updat. ed. 2009. 270 p. w. 30 figs. 24 cm）

Ansorge, Rainer/ Sonar, Thomas

WILEY-VCH（2009発売）

• 製本 Hardcover:ハードカバー版／ページ数 270 p.
• 商品コード 9783527407743

Full Description

Without sacrificing scientific strictness, this introduction to the field guides readers through mathematical modeling, the theoretical treatment of the underlying physical laws and the construction and effective use of numerical procedures to describe the behavior of the dynamics of physical flow. The book is carefully divided into three main parts: - The design of mathematical models of physical fluid flow; - A theoretical treatment of the equations representing the model, as Navier-Stokes, Euler, and boundary layer equations, models of turbulence, in order to gain qualitative as well as quantitative insights into the processes of flow events; - The construction and effective use of numerical procedures in order to find quantitative descriptions of concrete physical or technical fluid flow situations. Both students and experts wanting to control or predict the behavior of fluid flows by theoretical and computational fluid dynamics will benefit from this combination of all relevant aspects in one handy volume.

Contents

1. Ideal Fluids 2. Weak Solutions of Conservation Laws 3. Entropy Conditions 4. The Riemann Problem 5. Real Fluids 6. Existence Proof for Entropy Solutions by Means of Discretization Procedures 7. Types of Discretization Principles 8. A Closer Look into Discrete Models 9. Discrete Models on Curvilinear Grids 10. Finite Volume Models 11. Simple Meshless Models