| |
In this volume, the author explains the use of basic computational methods to solve problems in fluid dynamics, comparing these methods so that the reader can see which would be the most appropriate to use for a particular problem. The book is divided into four parts. In the first part, mathematical models are introduced. In the second part, the various numerical methods are described, while in the third and fourth parts the workings of these methods are investigated in some detail.
Contents :
The mathematical models for fluid flow simulations at various levels of approximation.The basic equations of fluid dynamics.The dynamic levels of approximation.The mathematical nature of the flow equations and their boundary conditions.Basic discretization techniques.The finite difference method.The finite element method.Finite volume method and conservative discretization.The analysis of numerical schemes.The concepts of consistency, stability, and convergence.The von Neumann method for stability analysis.The method of the equivalent differential equation for the analysis of stability.The matrix method for stability analysis.The resolution of discretized equations.Integration methods for systems of ordinary differential equations.Iterative methods for the resolution of algebraic systems.
Interesting Facts :
It explains the use of basic computational methods to solve problems in fluid dynamicsThe basic equations of fluid dynamicsBasic discretization techniquesThe concepts of consistency, stability, and convergence.ISBN - 9788126539246
|
| |
Pages : 536
|