Numerical Methods for Unsteady Compressible Flow Problems
暫譯: 非穩態可壓縮流問題的數值方法

Birken, Philipp

Numerical Methods for Unsteady Compressible Flow Problems

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商品描述

Numerical Methods for Unsteady Compressible Flow Problems is written to give both mathematicians and engineers an overview of the state of the art in the field, as well as of new developments. The focus is on methods for the compressible Navier-Stokes equations, the solutions of which can exhibit shocks, boundary layers and turbulence. The idea of the text is to explain the important ideas to the reader, while giving enough detail and pointers to literature to facilitate implementation of methods and application of concepts.

The book covers high order methods in space, such as Discontinuous Galerkin methods, and high order methods in time, in particular implicit ones. A large part of the text is reserved to discuss iterative methods for the arising large nonlinear and linear equation systems. Ample space is given to both state-of-the-art multigrid and preconditioned Newton-Krylov schemes.

Features

  • Applications to aerospace, high-speed vehicles, heat transfer, and more besides

  • Suitable as a textbook for graduate-level courses in CFD, or as a reference for practitioners in the field

商品描述(中文翻譯)

《非穩態可壓流動問題的數值方法》旨在為數學家和工程師提供該領域的最新技術概覽以及新發展。重點在於可壓Navier-Stokes方程的方法，其解可能會顯示出激波、邊界層和湍流。這本書的目的是向讀者解釋重要的概念，同時提供足夠的細節和文獻指引，以便於方法的實施和概念的應用。

本書涵蓋了空間中的高階方法，例如不連續Galerkin方法，以及時間中的高階方法，特別是隱式方法。文本中有很大一部分專門討論針對出現的大型非線性和線性方程系統的迭代方法。書中也充分介紹了最先進的多重網格和預處理的Newton-Krylov方案。

特點：
- 應用於航空航天、高速車輛、熱傳遞等領域
- 適合作為研究生級別計算流體力學（CFD）課程的教科書，或作為該領域從業者的參考資料

作者簡介

Philipp Birken is an associate professor for numerical analysis and scientific computing at the Centre for the Mathematical Sciences at Lund University, Sweden. He received his PhD in mathematics in 2005 from the University of Kassel, Germany, where he also received his habilitation in 2012. He was a PostDoc and a consulting assistant professor at the Institute for Computational & Mathematical Engineering at Stanford University, USA. His work is in numerical methods for compressible CFD and Fluid-Structure-Interaction.

作者簡介(中文翻譯)

菲利普·比肯（Philipp Birken）是瑞典隆德大學數學科學中心的數值分析與科學計算副教授。他於2005年在德國卡塞爾大學獲得數學博士學位，並於2012年獲得資格認證（habilitation）。他曾在美國史丹佛大學計算與數學工程研究所擔任博士後研究員及顧問助理教授。他的研究專注於可壓縮計算流體力學（CFD）和流體-結構互動的數值方法。

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