The subject of this book is the efficient solution of partial differential equations (PDEs) that arise when modelling incompressible fluid flow. The material is organized into four groups of two chapters each, covering the Poisson equation (chapters 1 & 2); the convection-diffucion equation (chapter
Krylov Subspace Methods with Application in Incompressible Fluid Flow Solvers
โ Scribed by Iman Farahbakhsh
- Publisher
- Wiley
- Year
- 2020
- Tongue
- English
- Leaves
- 242
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
A succinct and complete explanation of Krylov subspace methods for solving matrices Krylov Subspace Methods with Application in Incompressible Fluid Flow Solvers is the most current and complete guide to the implementation of Krylov subspace methods for solving systems of equations with different types of matrices. Written in the simplest language possible and eliminating ambiguities, the text is easy to follow for post-grad students and applied mathematicians alike. The book covers a breadth of topics, including: The different methods used in solving the systems of equations with ill-conditioned and well-conditioned matrices. The behavior of Krylov subspace methods in the solution of systems with ill-posed singular matrices The book includes executable subroutines and main programs that can be applied in CFD codes as well as appendices that support the results provided throughout the text. There is no other comparable resource to prepare the reader to use Krylov subspace methods in incompressible fluid flow solvers.
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