http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
finite element method for fluid dynamics
1 online resource (xii, 435 pages) : illustrations
Cover -- Contents -- Preface -- Acknowledgements -- 1 Introduction to the equations of fluid dynamics and the finite element approximation -- 1.1 General remarks and classification of fluid dynamics problems discussed in this book -- 1.2 The governing equations of fluid dynamics -- 1.3 Inviscid, incompressible flow -- 1.4 Incompressible (or nearly incompressible) flows -- 1.5 Numerical solutions: weak forms, weighted residual and finite element approximation -- 1.6 Concluding remarks -- References -- 2 Convection dominated problems -- finite element approximations to the convection-diffusion-reaction equation -- 2.1 Introduction -- 2.2 The steady-state problem in one dimension -- 2.3 The steady-state problem in two (or three) dimensions -- 2.4 Steady state -- concluding remarks -- 2.5 Transients -- introductory remarks -- 2.6 Characteristic-based methods -- 2.7 Taylor -- Galerkin procedures for scalar variables -- 2.8 Steady-state condition -- 2.9 Non-linear waves and shocks -- 2.10 Treatment of pure convection -- 2.11 Boundary conditions for convection -- diffusion -- 2.12 Summary and concluding remarks -- References -- 3 The characteristic-based split (CBS) algorithm. A general procedure for compressible and incompressible flow -- 3.1 Introduction -- 3.2 Non-dimensional form of the governing equations -- 3.3 Characteristic-based split (CBS) algorithm -- 3.4 Explicit, semi-implicit and nearly implicit forms -- 3.5 Artificial compressibility and dual time stepping -- 3.6 'Circumvention' of the Babu ka -- Brezzi (BB) restrictions -- 3.7 A single-step version -- 3.8 Boundary conditions -- 3.9 The performance of two-step and one-step algorithms on an inviscid problem -- 3.10 Concluding remarks -- References -- 4 Incompressible Newtonian laminar flows -- 4.1 Introduction and the basic equations -- 4.2 Use of the CBS algorithm for incompressible flows -- 4.3 Adaptive mesh refinement -- 4.4 Adaptive mesh generation for transient problems -- 4.5 Slow flows -- mixed and penalty formulations -- 4.6 Concluding remarks -- References -- 5 Incompressible non-Newtonian flows -- 5.1 Introduction -- 5.2 Non-Newtonian flows -- metal and polymer forming -- 5.3 Viscoelastic flows -- 5.4 Direct displacement approach to transient metal forming -- 5.5 Concluding remarks -- References -- 6 Free surface and buoyancy driven flows -- 6.1 Introduction -- 6.2 Free surface flows -- 6.3 Buoyancy driven flows -- 6.4 Concluding remarks -- References -- 7 Compressible high-speed gas flow -- 7.1 Introduction -- 7.2 The governing equations -- 7.3 Boundary conditions -- subsonic and supersonic flow -- 7.4 Numerical approximations and the CBS algorithm -- 7.5 Shock capture -- 7.6 Variable smoothing -- 7.7 Some preliminary examples for the Euler equation -- 7.8 Adaptive refinement and shock capture in Euler problems -- tidtid6389.
O.C. Zienkiewicz, R.L. Taylor, and P. Nithiarasu.
"In the present edition we retain the three volume format of the fifth edition but have decided not to pursue the course of having three contiguous volumes -- rather we treat the whole work as an assembly of three separate works, each one capable of being used without the others ... The first volume is renamed The Finite Element Method: Its Basis and Foundamentals ... In [the second] volume we consider more advanced problems in solid and structural mechanics while in a third volume we consider applications in fluid dynamics"--Preface.
Includes bibliographical references and indexes.
Finite element method: its basis and fundamentals
Finite element method for solid and structural mechanics
Amsterdam ; Boston : Elsevier Butterworth-Heinemann, 2005