Implementing Spectral Methods for Partial Differential Equations

Implementing Spectral Methods for Partial Differential Equations
Author: David A. Kopriva
Publisher: Springer Science & Business Media
Total Pages: 397
Release: 2009-05-27
Genre: Mathematics
ISBN: 9048122619

This book explains how to solve partial differential equations numerically using single and multidomain spectral methods. It shows how only a few fundamental algorithms form the building blocks of any spectral code, even for problems with complex geometries.

Mathematics of Large Eddy Simulation of Turbulent Flows

Mathematics of Large Eddy Simulation of Turbulent Flows
Author: Luigi Carlo Berselli
Publisher: Springer Science & Business Media
Total Pages: 378
Release: 2006
Genre: Computers
ISBN: 9783540263166

The LES-method is rapidly developing in many practical applications in engineering The mathematical background is presented here for the first time in book form by one of the leaders in the field

Computational Fluid Dynamics

Computational Fluid Dynamics
Author: T. J. Chung
Publisher: Cambridge University Press
Total Pages:
Release: 2010-09-27
Genre: Technology & Engineering
ISBN: 1139493299

The second edition of Computational Fluid Dynamics represents a significant improvement from the first edition. However, the original idea of including all computational fluid dynamics methods (FDM, FEM, FVM); all mesh generation schemes; and physical applications to turbulence, combustion, acoustics, radiative heat transfer, multiphase flow, electromagnetic flow, and general relativity is still maintained. The second edition includes a new section on preconditioning for EBE-GMRES and a complete revision of the section on flowfield-dependent variation methods, which demonstrates more detailed computational processes and includes additional example problems. For those instructors desiring a textbook that contains homework assignments, a variety of problems for FDM, FEM and FVM are included in an appendix. To facilitate students and practitioners intending to develop a large-scale computer code, an example of FORTRAN code capable of solving compressible, incompressible, viscous, inviscid, 1D, 2D and 3D for all speed regimes using the flowfield-dependent variation method is made available.

ADIGMA – A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications

ADIGMA – A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications
Author: Norbert Kroll
Publisher: Springer Science & Business Media
Total Pages: 498
Release: 2010-09-18
Genre: Technology & Engineering
ISBN: 3642037070

This volume contains results gained from the EU-funded 6th Framework project ADIGMA (Adaptive Higher-order Variational Methods for Aerodynamic Applications in Industry). The goal of ADIGMA was the development and utilization of innovative adaptive higher-order methods for the compressible flow equations enabling reliable, mesh independent numerical solutions for large-scale aerodynamic applications in aircraft industry. The ADIGMA consortium was comprised of 22 organizations which included the main European aircraft manufacturers, the major European research establishments and several universities, all with well proven expertise in Computational Fluid Dynamics (CFD). The book presents an introduction to the project, exhibits partners’ methods and approaches and provides a critical assessment of the newly developed methods for industrial aerodynamic applications. The best numerical strategies for integration as major building blocks for the next generation of industrial flow solvers are identified.

Chebyshev and Fourier Spectral Methods

Chebyshev and Fourier Spectral Methods
Author: John P. Boyd
Publisher: Courier Corporation
Total Pages: 690
Release: 2001-12-03
Genre: Mathematics
ISBN: 0486411834

Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.

Shock Wave-Boundary-Layer Interactions

Shock Wave-Boundary-Layer Interactions
Author: Holger Babinsky
Publisher: Cambridge University Press
Total Pages: 481
Release: 2011-09-12
Genre: Technology & Engineering
ISBN: 1139498649

Shock wave-boundary-layer interaction (SBLI) is a fundamental phenomenon in gas dynamics that is observed in many practical situations, ranging from transonic aircraft wings to hypersonic vehicles and engines. SBLIs have the potential to pose serious problems in a flowfield; hence they often prove to be a critical - or even design limiting - issue for many aerospace applications. This is the first book devoted solely to a comprehensive, state-of-the-art explanation of this phenomenon. It includes a description of the basic fluid mechanics of SBLIs plus contributions from leading international experts who share their insight into their physics and the impact they have in practical flow situations. This book is for practitioners and graduate students in aerodynamics who wish to familiarize themselves with all aspects of SBLI flows. It is a valuable resource for specialists because it compiles experimental, computational and theoretical knowledge in one place.