Numerical Analysis of Compressible Fluid Flows
暫譯: 可壓流體流動的數值分析
Feireisl, Eduard, Lukáčová-Medviďová, Mária, Mizerová, Hana
- 出版商: Springer
- 出版日期: 2021-12-18
- 售價: $7,160
- 貴賓價: 9.5 折 $6,802
- 語言: 英文
- 頁數: 450
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 303073787X
- ISBN-13: 9783030737870
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相關分類:
數值分析 Numerical-analysis
海外代購書籍(需單獨結帳)
商品描述
This book is devoted to the numerical analysis of compressible fluids in the spirit of the celebrated Lax equivalence theorem. The text is aimed at graduate students in mathematics and fluid dynamics, researchers in applied mathematics, numerical analysis and scientific computing, and engineers and physicists.
The book contains original theoretical material based on a new approach to generalized solutions (dissipative or measure-valued solutions). The concept of a weak-strong uniqueness principle in the class of generalized solutions is used to prove the convergence of various numerical methods. The problem of oscillatory solutions is solved by an original adaptation of the method of K-convergence. An effective method of computing the Young measures is presented. Theoretical results are illustrated by a series of numerical experiments.
Applications of these concepts are to be expected in other problems of fluid mechanics and related fields.
商品描述(中文翻譯)
本書專注於可壓縮流體的數值分析，體現了著名的 Lax 等價定理。該文本旨在為數學和流體力學的研究生、應用數學、數值分析和科學計算的研究人員，以及工程師和物理學家提供指導。
本書包含基於對廣義解（耗散或測度值解）新方法的原創理論材料。利用廣義解類別中的弱-強唯一性原則來證明各種數值方法的收斂性。通過對 K 收斂方法的原創適應，解決了振盪解的問題。提出了一種有效計算 Young 測度的方法。理論結果通過一系列數值實驗進行說明。
這些概念的應用預期將出現在流體力學及相關領域的其他問題中。
作者簡介
Mária Lukáčová-Medviďová is professor for Applied Mathematics at the Johannes Gutenberg-University Mainz. She is a vice speaker of the Research Center Multiscale Simulation Methods for Soft Matter Systems and of the Mainz Institute for Multiscale Modeling. Her research interests lay in numerics and analysis of partial differential equations. She made important contributions to the development of structure-preserving schemes for hyperbolic conservation laws and hybrid multiscale methods for complex fluids. She received various awards, such as the Prize of the Czech Learned Society in 2002, Bronze Medal of the University of Kosice in 2013, or the Gutenberg Research College Fellowship in 2020.
Hana Mizerová is an assistant professor at the Department of Mathematical Analysis and Numerical Mathematics of Comenius University in Bratislava, Slovakia. Her research focuses on numerical analysis of partial differential equations in fluid mechanics. In 2018, she was awarded the Seal of Excellence by the European Commission.
Bangwei She is a research worker at the Institute of Mathematics of the Czech Academy of Sciences. His research interests are in numerical analysis and scientific computing, particularly for partial differential equations with a focus on computational fluid dynamics.
作者簡介(中文翻譯)
Eduard Feireisl 是捷克科學院數學研究所的高級研究員，也是布拉格查理大學的全職教授。他著有或合著了7本研究專著和超過300篇由MathSciNet數據庫登記的研究論文。他的主要研究興趣是偏微分方程的抽象理論，並應用於流體力學，包括數值分析和隨機現象的影響。他是數學流體力學領域的領先專家之一。
Mária Lukáčová-Medviďová 是美因茨約翰·古騰堡大學的應用數學教授。她是多尺度模擬軟物質系統研究中心和美因茨多尺度建模研究所的副發言人。她的研究興趣在於偏微分方程的數值和分析。她對於超波守恆定律的結構保持方案和複雜流體的混合多尺度方法的發展做出了重要貢獻。她獲得了多項獎項，如2002年捷克學術學會獎、2013年科希策大學的銅獎勳章，以及2020年的古騰堡研究學院獎學金。
Hana Mizerová 是斯洛伐克布拉迪斯拉發科門紐斯大學數學分析與數值數學系的助理教授。她的研究專注於流體力學中偏微分方程的數值分析。2018年，她獲得了歐洲委員會頒發的卓越印章。
Bangwei She 是捷克科學院數學研究所的研究人員。他的研究興趣在於數值分析和科學計算，特別是針對偏微分方程，並專注於計算流體力學。
