Mathematical Modeling and Simulation of Complex Fluid Systems
暫譯: 複雜流體系統的數學建模與模擬

本書透過數學建模與進階計算方法，探討現代流體力學，涵蓋可壓縮流與流固交互作用等複雜主題。本書整合計算技術、多尺度建模與 AI 應用，並聚焦於能源、製造與環境科學等產業所面臨的特定挑戰。內容涵蓋從流體力學基礎，到複雜流體系統的前沿模擬，深入剖析工程、生物、環境與工業情境中的各種流體行為。本書探討非牛頓流體、可壓縮流、多相系統與流固交互作用等關鍵課題，也討論 AI 驅動的最佳化與永續能源解決方案等當代研究趨勢。

• 涵蓋基本原理，以及可壓縮流、多相系統與流固交互作用等專門主題。
• 著重於數值方法、最佳化，以及計算流體力學（Computational Fluid Dynamics, CFD）工具，用以解決複雜的流體動力學問題。
• 討論石油、製造與能源等產業的相關應用，包括熱交換器、多孔介質與潤滑系統。
• 涵蓋機器學習、AI 最佳化與永續能源解決方案等現代發展。
• 將流體動力學應用於生物、環境與工業情境，因此適合工程師、環境科學家與醫療專業人員閱讀。

本書是流體力學、計算流體力學與應用數學領域研究人員、工程師及學生的重要參考資源，同時提供理論深度與實務解決方案。

Dr. Satyvir Singh is a Research Associate Fellow in the Institute of Applied and Computational Mathematics at RWTH Aachen University, Germany. He earned his Ph.D. in Computational Fluid mechanics with thesis entitled 'Development of 3D discontinuous Galerkin method for solving Boltzmann-type gas kinetic equations for diatomic and polyatomic gases' in the School of Mechanical and Aerospace Engineering at Gyeongsang National University, South Korea. Subsequently, He worked as a Senior Research Fellow at Research Center for Aircraft Parts Technology, Gyeongsang National University, South Korea. After then, Dr. Singh worked as a Research Fellow in School of Physical and Mathematical Sciences at Nanyang Technological University Singapore. He completed Master Degree M. Tech. in Industrial Mathematics & Scientific Computing at Indian Institute of Technology Madras, India. He qualified two highly competitive Indian examinations - Junior Research Fellowship and National Eligibility Test in Mathematical Sciences with All Indian Rank # 38, and Graduate Aptitude Test for Engineering in Mathematics with All Indian Rank - 244. For his teaching background, He worked in India as Assistant Professor in Galgotias College of Engineering & Technology Greater Noida, and IMS Engineering College Ghaziabad, where he taught various Mathematics courses to undergraduate and post graduate students. Dr. Singh has a vast research area, including computational fluid dynamics, high-order numerical methods, hydrodynamic instability, gas kinetic theory, heat and mass transfer, and computational biology. His commitment to research is reflected in his more than 50 research articles (700+ citations) in reputable journals, including Physics of Fluids, J. Computational Physics, Computers & Fluids, Int. J. Heat and Mass Transfer, Physical Review Fluids, Applied Mathematics Computations, etc. Also, he has published one book. Besides it, he has attended many international conferences and presented his research work in USA, UK, Italy, South Korea, Singapore, Germany, Greece, China, Japan and India. As a Co-PI, Dr. Singh has received the research fund for the project "Mathematical Modelling and High-fidelity Simulations for Brain Tumor Dynamics" by the Deanship of Graduate Studies and Scientific Research Scheme, Jazan University, Saudi Arabia (2024). His Orcid is https: //orcid.org/my-orcid?orcid=0000-0001-6669-5296, the Google Scholar web link is https: //scholar.google.com/citations?user=sQT89LYAAAAJ&hl=en, and the Research Gate web page is https: //www.researchgate.net/profile/Satyvir-Singh.

Dr. Mukesh Kumar Awasthi did his PhD on the topic "Viscous Correction for the Potential Flow Analysis of Capillary and Kelvin-Helmholtz instability". He is an Assistant Professor in the Department of Mathematics at Babasaheb Bhimrao Ambedkar University, Lucknow. Dr. Awasthi is specialized in the mathematical modeling of flow problems. He has taught courses of Fluid Mechanics, Discrete Mathematics, Partial differential equations, Abstract Algebra, Mathematical Methods, and Measure theory to postgraduate students. He has acquired excellent knowledge in the mathematical modeling of flow problems and he can solve these problems analytically as well as numerically. He has a good grasp of the subjects like viscous potential flow, electro-hydrodynamics, magneto-hydrodynamics, heat, and mass transfer. He has excellent communication skills and leadership qualities. He is self-motivated and responds to suggestions in a more convincing manner. Dr. Awasthi has qualified National Eligibility Test (NET) conducted on all India level in the year 2008 by the Council of Scientific and Industrial Research (CSIR) and got Junior Research Fellowship (JRF) and Senior Research Fellowship (SRF) for doing research. He has published over 150 research publications (journal articles/books/book chapters/conference articles) in Elsevier, Taylor & Francis, Springer, Emerald, World Scientific, and many other national and international journals and conferences. Also, he has published 22 books. He is also a series editor of Artificial Intelligence and Machine Learning for Intelligent Engineering Systems published by CRC Press (Taylor & Francis USA. He has attended many symposia, workshops, and conferences in mathematics as well as fluid mechanics. He has got the "Research Awards" consecutively four times from 2013-2016 by the University of Petroleum and Energy Studies, Dehradun, India. He has also received the start-up research fund for his project "Nonlinear study of the interface in multilayer fluid system" from UGC, New Delhi. He is also listed among the top 2% of influential researchers in the world, as prepared by Stanford University based on Scopus data for the years 2022, 2023 and 2024. His Orcid is 0000-0002-6706-5226, Google Scholar web link is https: //scholar.google.co.in/citations?user=Dj3ktGAAAAAJ and research gate web link ishttps: //www.researchgate.net/profile/Mukesh-Awasthi-2.

Dr. Satyvir Singh 是德國 RWTH Aachen University 應用與計算數學研究所（Institute of Applied and Computational Mathematics）的研究副研究員。他於韓國 Gyeongsang National University 機械與航空工程學院取得計算流體力學博士學位，博士論文題為「開發三維不連續 Galerkin 方法，以求解適用於雙原子與多原子氣體的 Boltzmann 型氣體動力學方程式」。之後，他曾任職於韓國 Gyeongsang National University 航空零組件技術研究中心（Research Center for Aircraft Parts Technology），擔任資深研究員。其後，Dr. Singh 於新加坡 Nanyang Technological University 物理與數學科學學院（School of Physical and Mathematical Sciences）擔任研究員。

他於印度 Indian Institute of Technology Madras 取得工業數學與科學計算（Industrial Mathematics & Scientific Computing）碩士學位（M. Tech.）。他通過了印度兩項競爭激烈的考試：數學科學初級研究獎學金（Junior Research Fellowship）與國家資格考試（National Eligibility Test），全印度排名第 38；以及工程數學研究生適性測驗（Graduate Aptitude Test for Engineering），全印度排名第 244。

在教學方面，他曾於印度 Galgotias College of Engineering & Technology（Greater Noida）及 IMS Engineering College（Ghaziabad）擔任助理教授，為大學部與研究所學生教授各類數學課程。Dr. Singh 的研究領域十分廣泛，包括計算流體力學（computational fluid dynamics）、高階數值方法（high-order numerical methods）、流體動力不穩定性（hydrodynamic instability）、氣體動力學理論（gas kinetic theory）、熱傳與質傳（heat and mass transfer），以及計算生物學（computational biology）。

他的研究投入反映在超過 50 篇發表於知名期刊的研究論文（獲 700 多次引用），包括 Physics of Fluids、J. Computational Physics、Computers & Fluids、Int. J. Heat and Mass Transfer、Physical Review Fluids、Applied Mathematics Computations 等。此外，他也出版了一本書。他曾參加許多國際會議，並於美國、英國、義大利、韓國、新加坡、德國、希臘、中國、日本及印度發表研究成果。

Dr. Singh 以共同計畫主持人（Co-PI）身分，獲得沙烏地阿拉伯 Jazan University 研究生院與科學研究院長辦公室（Deanship of Graduate Studies and Scientific Research Scheme）的研究經費，用於執行「腦腫瘤動力學的數學建模與高擬真模擬」（Mathematical Modelling and High-fidelity Simulations for Brain Tumor Dynamics）計畫（2024 年）。他的 Orcid 網址為 https: //orcid.org/my-orcid?orcid=0000-0001-6669-5296；Google Scholar 網址為 https: //scholar.google.com/citations?user=sQT89LYAAAAJ&hl=en；ResearchGate 網頁為 https: //www.researchgate.net/profile/Satyvir-Singh。

Dr. Mukesh Kumar Awasthi 以「毛細管不穩定性與 Kelvin-Helmholtz 不穩定性勢流分析的黏性修正」（Viscous Correction for the Potential Flow Analysis of Capillary and Kelvin-Helmholtz instability）為題完成博士研究。他目前是印度 Lucknow Babasaheb Bhimrao Ambedkar University 數學系的助理教授。Dr. Awasthi 專長於流動問題的數學建模。他曾為研究所學生教授流體力學、離散數學、偏微分方程、抽象代數、數學方法及測度論等課程。

他具備流動問題數學建模的優異知識，能以解析方法及數值方法解決這些問題。他對黏性勢流（viscous potential flow）、電流體動力學（electro-hydrodynamics）、磁流體動力學（magneto-hydrodynamics）、熱傳及質傳等主題具有深入掌握。他具備優秀的溝通能力與領導特質，並且自我激勵，能以更具說服力的方式回應各項建議。

Dr. Awasthi 通過了由 Council of Scientific and Industrial Research（CSIR）於 2008 年在全印度舉辦的國家資格考試（National Eligibility Test，NET），並獲得初級研究獎學金（Junior Research Fellowship，JRF）與高級研究獎學金（Senior Research Fellowship，SRF）以從事研究。他已在 Elsevier、Taylor & Francis、Springer、Emerald、World Scientific，以及許多其他國內外期刊與會議中，發表超過 150 篇研究成果（包括期刊論文、書籍、書籍章節及會議論文）。此外，他也出版了 22 本書。

他同時也是 CRC Press（Taylor & Francis USA）出版之《Artificial Intelligence and Machine Learning for Intelligent Engineering Systems》系列叢書的系列編輯。他曾參加許多數學及流體力學相關的研討會、工作坊與會議。2013 年至 2016 年間，他連續四年獲得印度 Dehradun University of Petroleum and Energy Studies 頒發的「研究獎」（Research Awards）。此外，他也獲得印度 New Delhi University Grants Commission（UGC）針對其「多層流體系統中介面的非線性研究」（Nonlinear study of the interface in multilayer fluid system）計畫所提供的創新研究經費。

根據 Scopus 資料，並依據 Stanford University 的評選結果，他在 2022、2023 及 2024 年均名列全球具影響力研究人員前 2%。他的 Orcid 為 0000-0002-6706-5226；Google Scholar 網址為 https: //scholar.google.co.in/citations?user=Dj3ktGAAAAAJ；ResearchGate 網址為 https: //www.researchgate.net/profile/Mukesh-Awasthi-2。