Characteristics Finite Element Methods in Computational Fluid Dynamics [electronic resource] /
Iannelli, Joe.author.
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.
Description based upon print version of record.
Includes bibliographical references (p. [711]-725) and index.
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.
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.
Continuum physics.
Fluid mechanics.
Applied mathematics.
Engineering mathematics.
Computer mathematics.
Fluids.
Computational intelligence.
Classical and Continuum Physics.
Engineering Fluid Dynamics.
Mathematical and Computational Engineering.
Computational Science and Engineering.
Fluid- and Aerodynamics.
Computational Intelligence.
Computational Fluid and Solid Mechanics