On the Convergence of Discrete Approximations to the NavierStokes Equations Classic Reprint
Language: English
Published by Forgotten Books, 2018
- Softcover
- New

Seller: PBShop.store US, Wood Dale, IL, U.S.A.PBShop.store US
AbeBooks seller since April 7, 2005
Condition: New
US$ 27.19
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Add to basketItem description from seller
Seller Inventory # LW-9781330194720
- Title
- On the Convergence of Discrete Approximations to the NavierStokes Equations Classic Reprint
- Author
- Alexandre Joel Chorin
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Binding
- PAP
- Language
- English
- ISBN 10
- 1330194721
- ISBN 13
- 9781330194720
- Item weight
- 123 grams
Understanding how discrete approximations converge to the Navier–Stokes equations
Learn how finite-difference schemes can accurately model fluid flow by building a rigorous foundation for discrete operators and their properties. This work develops the math needed to prove convergence for periodic problems and shows how to handle the mix of initial value and boundary value conditions.
Two clear, focused chapters walk you through the setup, from discretizing time and space to defining the discrete operators that mimic gradient, divergence, and Laplacian. You’ll see how these operators interact, the role of orthogonal projections, and how to formulate a stable, implementable scheme. The author also discusses limitations and what is required to extend results to more complex boundary conditions.What you’ll experience
- Grounding in the discrete operators D, G, and P, and how they resemble their continuous counterparts
- A step-by-step look at a multi-stage time-stepping scheme and its discrete pressure update
- Theorems that establish decompositions and orthogonality, plus conditions that ensure uniqueness and stability
- Convergence results in bothLp and maximum norms, including error estimates and norms used
- Discussion of two- and three-dimensional cases, and the impact of boundary conditions and Reynolds number
Whether you are a graduate student, researcher, or professional who needs a solid mathematical foundation for computational fluid dynamics, this edition provides detailed proofs and careful construction of the discrete framework needed for reliable simulations.
Ideal for readers of advanced applied mathematics and numerical analysis texts on fluid mechanics.
"Synopsis" may belong to another edition of this title.
PBShop.store US
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