Characteristics Finite Element Methods in Computational Fluid Dynamics
Title:
Characteristics Finite Element Methods in Computational Fluid Dynamics
Author:
Iannelli, Joe. author.
ISBN:
9783540453437
Personal Author:
Physical Description:
XXVI, 730 p. online resource.
Series:
Computational Fluid and Solid Mechanics,
Contents:
Governing Equations of Fluid Mechanics -- Constitutive and State Equations -- State Equations for Reacting Air -- Euler and Navier Stokes Systems -- Quasi One-Dimensional and Free-Surface Equations -- Overview of CFD Algorithm Development -- The Finite Element Method -- Non-Linearly Stable Implicit Runge-Kutta Time Integrations -- One-Dimensional Non-Discrete Characteristics-Bias Resolution -- Characteristics-Bias Controller and Length -- Computational Analysis of Quasi-1-D Incompressible Flows -- Numerical Study of Generalized Quasi-1-D Free Surface Flows -- CFD Investigation of Generalized Quasi-1-D Compressible Flows -- Multi-Dimensional Characteristics and Characteristics-Bias Systems -- Multi-Dimensional Incompressible Flows -- Multi-Dimensional Free-Surface Flows -- Multi-Dimensional Compressible Flows.
Abstract:
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.
Added Corporate Author:
Electronic Access:
http://dx.doi.org/10.1007/978-3-540-45343-7