Adaptive high-order methods in computational fluid dynamics

✍ Scribed by Z J Wang

• Publisher: World Scientific
• Year: 2011
• Tongue: English
• Leaves: 471
• Series: Advances in computational fluid dynamics, v. 2
• Category: Library

✦ Synopsis

This book consists of important contributions by world-renowned experts on adaptive high-order methods in computational fluid dynamics (CFD). It covers several widely used, and still intensively researched methods, including the discontinuous Galerkin, residual distribution, finite volume, differential quadrature, spectral volume, spectral difference, PNPM, and correction procedure via reconstruction methods. The main focus is applications in aerospace engineering, but the book should also be useful in many other engineering disciplines including mechanical, chemical and electrical engineering. Since many of these methods are still evolving, the book will be an excellent reference for researchers and graduate students to gain an understanding of the state of the art and remaining challenges in high-order CFD methods. Read more...

✦ Table of Contents

Content: Ch. 1. Discontinuous galerkin for turbulent flows / Francesco Bassi ... [et al.] --
ch. 2. Massively parallel solution techniques for higher-order finite-element discretizations in CFD / Laslo T. Diosady and David L. Darmofal --
ch. 3. Error estimation and hp-adaptive mesh refinement for discontinuous Galerkin methods / Tobias Leicht and Ralf Hartmann --
ch. 4. A Runge-Kutta based discontinuous Galerkin method with time accurate local time stepping / Gregor J. Gassner, Florian Hindenlang and Claus-Dieter Munz --
ch. 5. High-order discontinuous Galerkin methods for CFD / Jaime Peraire and Per-Olof Persson --
ch. 6. Weighted non-oscillatory limiters for Runge-Kutta discontinuous Galerkin methods / Jianxian Qiu --
ch. 7. A venerable family of discontinuous Galerkin schemes for diffusion revisited / Bram van Leer ... [et al.] --
ch. 8. P[symbol]P[symbol] schemes on unstructured meshes for time-dependent partial differential equations / Michael Dumbser --
ch. 9. High-order finite-volume discretization of the Euler equations on unstructured meshes / Carl Ollivier-Gooch and Chris Michalak --
ch. 10. A biased short review of residual distribution schemes for hyperbolic problems / Remi Abgrall --
ch. 11. Radial basis function-based differential quadrature (RBF-DQ) method and its applications / Chang Shu --
ch. 12. Stability and accuracy analysis of spatial discretizations / Chris Lacor and Kris Van den Abeele --
ch. 13. Efficient relaxation methods for high-order discretization of steady problems / Georg May and Antony Jameson --
ch. 14. High-order methods by correction procedures using reconstructions / H. T. Huynh --
ch. 15. A unifying discontinuous formulation for hybrid meshes / Z. J. Wang, H. Gao and T. Haga.
Abstract:

Consists of important contributions by world-renowned experts on adaptive high-order methods in computational fluid dynamics (CFD). This book covers several widely used, and intensively researched methods, including the discontinuous Galerkin, differential quadrature, residual distribution, spectral volume, and spectral difference. Read more...