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Riemann Solvers and Numerical Methods for Fluid Dynamics Book

Riemann Solvers and Numerical Methods for Fluid Dynamics
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Riemann Solvers and Numerical Methods for Fluid Dynamics, High resolution upwind and centered methods are a mature generation of computational techniques. They are applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This tex, Riemann Solvers and Numerical Methods for Fluid Dynamics
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  • Riemann Solvers and Numerical Methods for Fluid Dynamics
  • Written by author Springer
  • Published by Springer-Verlag New York, LLC, 11/9/2010
  • High resolution upwind and centered methods are a mature generation of computational techniques. They are applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This tex
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Preface to the First Edition
1 The Equations of Fluid Dynamics 1
2 Notions on Hyperbolic Partial Differential Equations 41
3 Some Properties of the Euler Equations 87
4 The Riemann Problem for the Euler Equations 115
5 Notions on Numerical Methods 163
6 The Method of Godunov for Non-linear Systems 213
7 Random Choice and Related Methods 237
8 Flux Vector Splitting Methods 265
9 Approximate-State Riemann Solvers 293
10 The HLL and HLLC Riemann Solvers 315
11 The Riemann Solver of Roe 341
12 The Riemann Solver of Osher 373
13 High-Order and TVD Methods for Scalar Equations 409
14 High-Order and TVD Schemes for Non-Linear Systems 489
15 Splitting Schemes for PDEs with Source Terms 527
16 Methods for Multi-Dimensional PDEs 539
17 Multidimensional Test Problems 581
18 Concluding Remarks 593
References 599
Index 620


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Riemann Solvers and Numerical Methods for Fluid Dynamics, High resolution upwind and centered methods are a mature generation of computational techniques. They are applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This tex, Riemann Solvers and Numerical Methods for Fluid Dynamics

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Riemann Solvers and Numerical Methods for Fluid Dynamics, High resolution upwind and centered methods are a mature generation of computational techniques. They are applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This tex, Riemann Solvers and Numerical Methods for Fluid Dynamics

Riemann Solvers and Numerical Methods for Fluid Dynamics

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Riemann Solvers and Numerical Methods for Fluid Dynamics, High resolution upwind and centered methods are a mature generation of computational techniques. They are applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This tex, Riemann Solvers and Numerical Methods for Fluid Dynamics

Riemann Solvers and Numerical Methods for Fluid Dynamics

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