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High Order Methods and Applications in Computational Mechanics [Kõva köide]

  • Formaat: Hardback, 520 pages, kõrgus x laius: 235x155 mm, 49 Illustrations, color; 196 Illustrations, black and white
  • Sari: Fluid Mechanics and Its Applications
  • Ilmumisaeg: 29-May-2026
  • Kirjastus: Springer Nature Switzerland AG
  • ISBN-10: 303216060X
  • ISBN-13: 9783032160607
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High Order Methods and Applications in Computational MechanicsSuurem pilt
  • Formaat: Hardback, 520 pages, kõrgus x laius: 235x155 mm, 49 Illustrations, color; 196 Illustrations, black and white
  • Sari: Fluid Mechanics and Its Applications
  • Ilmumisaeg: 29-May-2026
  • Kirjastus: Springer Nature Switzerland AG
  • ISBN-10: 303216060X
  • ISBN-13: 9783032160607
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9783032160607.html
This book provides a comprehensive, self-contained guide to solutions of partial differential equations with both finite element and finite volume methods. Upon discussing different formulations of finite element methods, it focuses on solution techniques with various formulations, including collocation, Galerkin, least squares, and stabilized finite element methods. In turn, it presents solutions to problems concerning heat transfer, coupled heat and mass transfer, and structures applications. The book also covers problems relating to incompressible and compressible flow, magnetic refrigeration, and aerodynamics of high-speed reentry vehicles. All in all, this book is intended to equip graduate students and researchers with enough implementation details for using finite element and finite volume methods in a variety of applications in both structural mechanics and fluid dynamics.
Governing Equations.- The Basis.- Beam and Plate Theories.- A Non
Uniform Rational B-Splines (NURBS) Framework.- Least Squares Finite Element
Method.- Convective Heat Transfer and Fluid Flow.- Free Surface Flow.-
Augmented Stabilized Formulations.- Fluid Structure Interaction.- Finite
Volume Based Solutions of Hypersonic Flows.- Finite Element Based Solutions
of Euler Equations.
Dr. Rakesh Ranjan earned his Ph.D. from the Department of Mechanical Engineering at Texas A&M University in 2010. He worked with Dr. J N Reddy during his Doctoral studies at the Advanced Computational Mechanics Laboratory. His work at Texas A&M involved solving structures problems with high order methods. Subsequently he worked as a Postdoctoral Fellow at the Department of Mechanical Engineering at the University of Texas, San Antonio (UTSA) from 2010-2013. At UTSA he augmented the SUPG and GLS stabilized finite element formulations for incompressible flow. Some of his contributions also involved solving hyperelastic deformations with applications in stress induced tissue growth. He subsequently joined Los Alamos National Laboratory (LANL) as a Research Associate in the Nuclear Engineering and Non-Proliferation Division (NEN) in 2013. He implemented a projection method to replace the convolution approach for solving incompressible free surface flow at LANL. Subsequently, he joined Astronautics Corporation of America at the Madison Center as a Senior Computational Modeler in 2015. Later he worked as a Senior Research Associate with the Department of Aerospace and Mechanical Engineering at the University of Oklahoma in 2017. His work at the University of Oklahoma involved solving compressible flow problems with non-equilibrium aero-thermodynamics considerations with applications in hypersonic atmospheric re-entry flow. He is currently with the University of Dayton, Research Institute and Air Force Research Laboratory (WPAFB) as an Aerothemodynamic Research Engineer, and concurrently as a Research Scientist with the Department of Mechanical Engineering, University of Texas, San Antonio (UTSA).