After centuries of research, turbulence in fluids is still an unsolved problem. The graduate-level lectures in this volume cover the state of the art of numerical methods for fluid mechanics.

The research in this collection covers wavelet-based methods, the semi-Lagrangian method, the Lagrangian multi-pole method, continuous adaptation of curvilinear grids, finite volume methods, shock-capturing methods, and ENO schemes. The most recent research on large eddy simulations and Reynolds stress modeling is presented in a way that is accessible to engineers, postdoctoral researchers, and graduate students. Applications cover industrial flows, aerodynamics, two-phase flows, astrophysical flows, and meteorology. This volume would be suitable as a textbook for graduate students with a background in fluid mechanics.

Titles in this series are co-published with the Centre de Recherches Mathématiques.

Readership

Graduate students, engineers, physicists.

Table of Contents

• C. Basdevant -- Wavelet based methods for PDEs
• J. Côté, S. Gravel, M. Roch, A. Méthot, A. Patoine, J. Caveen, M. Valin, S. Thomas, and A. Staniforth -- Forecasting with a variable-resolution global model
• D. G. Dritschel -- The simulation and analysis of vortex dynamics in nearly-inviscid 2D and layerwise-2D flows
• J. H. Ferziger -- Direct and large eddy simulation of turbulence
• B. Fiedler -- Continuous adaptation of a curvilinear grid
• S. Gravel -- The semi-Lagrangian method
• B. E. Launder -- An introduction to single-point closure methodology
• M. Meneguzzi -- Numerical simulation of two-phase flows
• U.-L. Pen -- A high-resolution adaptive moving mesh hydrodynamic algorithm