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ISBN
9781483271552
9780121740702
Author
Chorin, Alexandre Joel
Title
Computational fluid mechanics : selected papers
Description
1 online resource (240 pages)
Contents
Front Cover -- Computational Fluid Mechanics: Selected Papers -- Copyright Page -- Table of Contents -- Introduction -- Chapter 1. A Numerical Method for Solving Incompressible Viscous Flow Problems -- ABSTRACT -- INTRODUCTION -- THE METHOD OF ARTIFICIAL COMPRESSIBILITY -- A SIMPLE TEST PROBLEM -- THERMAL CONVECTION IN A FLUID LAYER HEATED FROM BELOW. THE TWO-DIMENSIONAL CASE -- THERMAL CONVECTION IN THREE SPACE DIMENSIONS -- REFERENCES -- Chapter 2. Numerical Solution of the Navier-Stokes Equations -- Abstract -- Introduction -- Principle of the Method -- The Dufort-Frankel Scheme and Successive Point Over-Relaxation -- Solution of a Simple Test Problem -- Conclusion and Applications. -- Chapter 3. On the Convergence of Discrete Approximations to the Navier-Stokes Equations -- Abstract -- Introduction -- Chapter 4. Numerical Solution of Boltzmann's Equation -- 1. Introduction -- 2. Method of Solution -- 3· Flow in One Space Dimension -- 4. Application to a Shock Problem -- 5. Numerical Results -- 6. Conclusions and Generalizations -- Bibliography -- Chapter 5. Numerical study of slightly viscous flow -- 1. Introduction -- 2. Principle of the method -- 3. Implementation of the method -- 4. The evaluation of the potential component of the flow -- 5. Heuristic considerations -- 6. Application: flow past a circular cylinder -- 7. Conclusion and further work -- REFERENCES -- Chapter 6. Discretization of a Vortex Sheet, with an Example of Roll-Up -- INTRODUCTION -- APPROXIMATION OF A VORTEX SHEET BY A FINITE ARRAY OF POINT VORTICES -- VORTEX SHEET INDUCED BY AN ELLIPTICALLY LOADED WING -- CONCLUSION -- REFERENCES -- Chapter 7. Random Choice Solution of Hyperbolic Systems -- OUTLINE OF GOAL AND METHOD -- IMPLEMENTATION OF GLIMM'S METHOD -- SOLUTION OF A RIEMANN PROBLEM -- MULTIDIMENSIONAL PROBLEMS -- EXAMPLES -- CONCLUSIONS -- REFERENCES.
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Fluid dynamics
Numerical analysis
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