Characteristics Finite Element Methods in Computational Fluid Dynamics
- Author
- Joe Iannelli
- Publication Year
- 2006
- Publisher
- Springer
- Language
- English
- Document Type
- Book
- Faculty / Subject Heading
- Engineering
- Download Book Read book
This book details a systematic characteristics-based finite element procedure to investigate incompressible, free-surface and compressible flows. The fluid dynamics equations are derived from basic thermo-mechanical principles and the multi-dimensional and infinite-directional upstream procedure is developed by combining a finite element discretization of a characteristics-bias system with an implicit Runge-Kutta time integration. For the computational solution of the Euler and Navier Stokes equations, the procedure relies on the mathematics and physics of multi-dimensional characteristics. As a result, the procedure crisply captures contact discontinuities, normal as well as oblique shocks, and generates essentially non-oscillatory solutions for incompressible, subsonic, transonic, supersonic, and hypersonic inviscid and viscous flows.
Keywords: Engineering / Compressible Flows / Computational Fluid Dynamics / Finite Elements / Free-Surface Flows / Incompressible Flows / Multi-Dimensional, Infinite-Directional Upwind / Reactive Flows / Convection / Fluid dynamics / Fluid mechanics
