Characteristics Finite Element Methods in Computational Fluid Dynamics

  • Joe┬áIannelli
Part of the Computational Fluid and Solid Mechanics book series (COMPFLUID)

About this book

Introduction

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

Compressible Flows Computational Fluid Dynamics Finite Elements Free-Surface Flows Incompressible Flows Multi-Dimensional, Infinite-Directional Upwind Reactive Flows convection fluid dynamics fluid mechanics

Authors and affiliations

  • Joe┬áIannelli
    • 1
  1. 1.Centre for AeronauticsSchool of Engineering and Mathematical Sciences City UniversityLondonUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-45343-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 2006
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-540-25181-1
  • Online ISBN 978-3-540-45343-7
  • Series Print ISSN 1860-482X
  • About this book