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.
High-Order Residual Distribution Schemes (R Abgrall & H Deconinck; DG for Turbulent Flow (B & Rebay); Massively Parallel Implementation for the DG (D Darmofal); Error Estimate and Adaptations (R Hartmann et al.); Flux Reconstruction Method (H T Hyunh); Efficient Multi-Level Hp-Solution Methods (A Jameson & G May); Time Discretization and Local Time Stepping in the DG Framework (C-D Munz); PnPm Method (M Dumbser et al.); High-Order Finite Volume Method (C Ollivier-Gooch); DG for Moving Boundary Problems (P-O Persson & J Peraire); Limiters (J-X Qiu); Differential Quadratures (C Shu); Comparison of SUPG and DG (V Venkatakarishnan); Analysis of Spectral Volume and Spectral Difference Methods (K Vanden Abeele & C Lacor); DG for Diffusion (B van Leer); Lifting Collocation Penalty Method (Z J Wang).