High Order Methods and Applications in Computational Mechanics

Beschreibung

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.

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.

Autor*in

Rakesh Ranjan

Themen in »High Order Methods and Applications in Computational Mechanics«

Spectral/hp Element Method Higher Order Variational Formulations B-spline Basis Functions Beam Theories with High Order Methods Incompressible Flow Solutions Least Squares Finite Element Method High Order Stabilization Parameter Augmented Stabilized Finite Element Formulations Hypersonics Vibrational Energy Compressible Flow Atmospheric Reentry Problem Space Vehicles

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