Barriers and Challenges in Computational Fluid Dynamics

Preface. 1: Accuracy. Progress in Applied Numerical Analysis for Computational Fluid Dynamics; M.B. Giles. Examples of Error Propagation from Discontinuities; B. Engquist, B. Sjögreen. Accurate Finite Difference Algorithms; J.V. Goodrich. Computational Considerations for the Simulation of Discontinuous Flows; M. H. Carpenter, J.H. Casper. Space-Time Methods for Hyperbolic Conservation Laws; R.B. Lowrie, et al. II: Boundary Conditions and Stiffness Issues. Anisotropic Mesh Adaptation: A Step Towards a Mesh-Independent and User-Independent CFD; W.G. Habashi, et al. Artificial Boundary Conditions for Infinite-Domain Problems; S.V.Tsynkov. Issues and Strategies for Hyperbolic Problems with Stiff Source Terms; M. Arora, P.L. Roe. III: Discontinuities. Numerical Methods for a One-Dimensional Interface Separating Compressible and Incompressible Flows; R. Fedkiw, et al. On Some Outstanding Issues in CFD (1996); R. Löhner. Accurate and Robust Methods for Variable Density Incompressible Flows with Discontinuities; W.J. Rider, et al. A Variational Approach to Deriving Smeared-Interface Surface Tension Models; D. Jacqmin. IV: Other Applications. Compounded of Many Simples: Reflections on the Role of Model Problems in CFD; P. Roe. A Unified CFD-Based Approach to a Variety of Problems in Computational Physics; R.K. Agarwal. Second Order Godunov Schemes for 2D and 3D MHD Equations and Divergence-Free Condition; Wenlong Dai, P.R. Woodward. On Multidimensional Positively Conservative High-Resolution Schemes; T. Linde, P.L. Roe. A New Scheme for the Solutions of Multidimensional MHD Equations; N. Aslan, T. Kamash . V: Convergence. Local Preconditioning: Who Needs It? B. VanLeer. The Quest for Diagonalization of Differential Systems; P. Roe, E. Turkel. Multidimensional Upwinding: Unfolding the Mystery; D. Sidilkover.