Modeling In Engineering Using Innovative Numerical Methods For Solids And Fluids
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Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids
The book examines innovative numerical methods for computational solid and fluid mechanics that can be used to model complex problems in engineering. It also presents innovative and promising simulation methods, including the fundamentals of these methods, as well as advanced topics and complex applications. Further, the book explores how numerical simulations can significantly reduce the number of time-consuming and expensive experiments required, and can support engineering decisions by providing data that would be very difficult, if not impossible, to obtain experimentally. It also includes chapters covering topics such as particle methods addressing particle-based materials and numerical methods that are based on discrete element formulations; fictitious domain methods; phase field models; computational fluid dynamics based on modern finite volume schemes; hybridizable discontinuous Galerkin methods; and non-intrusive coupling methods for structural models.
Efficient High-Order Discretizations for Computational Fluid Dynamics
Author: Martin Kronbichler
language: en
Publisher: Springer Nature
Release Date: 2021-01-04
The book introduces modern high-order methods for computational fluid dynamics. As compared to low order finite volumes predominant in today's production codes, higher order discretizations significantly reduce dispersion errors, the main source of error in long-time simulations of flow at higher Reynolds numbers. A major goal of this book is to teach the basics of the discontinuous Galerkin (DG) method in terms of its finite volume and finite element ingredients. It also discusses the computational efficiency of high-order methods versus state-of-the-art low order methods in the finite difference context, given that accuracy requirements in engineering are often not overly strict. The book mainly addresses researchers and doctoral students in engineering, applied mathematics, physics and high-performance computing with a strong interest in the interdisciplinary aspects of computational fluid dynamics. It is also well-suited for practicing computational engineers who would like to gain an overview of discontinuous Galerkin methods, modern algorithmic realizations, and high-performance implementations.
Principles of Bioinspired and Biomimetic Regenerative Medicine
Nature has developed a diverse of materials, structures, and processes that are highly optimized for various functions. Through the field of biomimicry and bioinspiration, engineers are enhancing their understanding of natural design principles and applying these insights to create complex engineering models across different scales. These innovative approaches are particularly appropriate to address challenges in tissue engineering and regenerative medicine. Natural materials and systems exhibit a diverse array of functions, including but not limited to structural support, signal transduction, charge transfer, self-assembly, self-organization, and self-replication. Consequently, nature’s "solution manual" is remarkably comprehensive. Despite significant advancements, the reconstruction of nature-inspired designs using synthetic materials presents ongoing challenges. As a result, nature and bioinspired materials and architectures have emerged as a paradigm shift within the realm of tissue engineering and regenerative medicine. This comprehensive guide aims to provide scientists with inspiration to address a variety of critical challenges in tissue regeneration by directly applying established design principles. A key focus of this volume is the utilization of bioinspired architectures in tissue engineering. It also emphasizes the development of nature-inspired structures through the integration of novel biological macromolecules, bioinspired polymers and hydrogels, as well as biomimetic ceramics. Furthermore, the text concentrates on the biochemical and biophysical dimensions of bioinspired surface engineering. Both dry-lab and wet-lab methodologies for characterizing nature and bio-inspired materials and structures are also addressed. The publication seeks to promote the development of high-level translational knowledge among both established and emerging scientists.