Ionut Danaila's Books

An Introduction to Scientific Computing

Twelve Computational Projects Solved with MATLAB

By: Ionut Danaila,Pascal Joly,Sidi Mahmoud Kaber,Marie Postel

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An Introduction to Scientific Computing

Twelve Computational Projects Solved with MATLAB

By: Ionut Danaila,Pascal Joly,Sidi Mahmoud Kaber,Marie Postel

This book demonstrates scientific computing by presenting twelve computational projects in several disciplines including Fluid Mechanics, Thermal Science, Computer Aided Design, Signal Processing and more. Each follows typical steps of scientific computing, from physical and mathematical description, to numerical formulation and programming and critical discussion of results. The text teaches practical methods not usually available in basic textbooks: numerical checking of accuracy, choice of boundary conditions, effective solving of linear systems, comparison to exact solutions and more. The final section of each project contains the solutions to proposed exercises and guides the reader in using the MATLAB scripts available online.

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Page Count

303

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387491597

ISBN 13

9780387491592

Vortex Ring Models

By: Ionut Danaila,Felix Kaplanski,Sergei S. Sazhin

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Vortex Ring Models

By: Ionut Danaila,Felix Kaplanski,Sergei S. Sazhin

This book offers a guide to understanding models of vortex rings, starting from classical ones (circular vortex filament, Hill and Norbury-Fraenkel inviscid models) to very recent models incorporating viscous effects and realistic shapes of the vortex core. Unconfined and confined viscous vortex rings are described by closed formulae for vorticity, stream function, translational velocity, energy, impulse and circulation. Models are applied to predict the formation number of optimal vortex rings and to describe two-phase vortex ring-like structures generated in internal combustion engines. The book provides a detailed presentation of analytical developments of models, backed up by illustrations and systematic comparisons with results of direct numerical simulations. The book is useful for graduate students in applied mathematics, engineering and physical sciences. It is a useful reference for researchers and practising engineers interested in modelling flows with vortex rings.

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