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Numerical Methods in Fluid Mechanics
Edited by: Alain Vincent, Université de Montréal, QC, Canada
A co-publication of the AMS and Centre de Recherches Mathématiques.

CRM Proceedings & Lecture Notes
1998; 199 pp; softcover
Volume: 16
ISBN-10: 0-8218-0813-3
ISBN-13: 978-0-8218-0813-9
List Price: US$75
Member Price: US$60
Order Code: CRMP/16
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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.


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
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