Numerical methods in fluid mechanics

Bibliographic Information

Numerical methods in fluid mechanics

Alain Vincent, editor

(CRM proceedings & lecture notes, v. 16)

American Mathematical Society, c1998

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Description and Table of Contents

Description

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.

Table of Contents

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

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