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Book Synopsis Modeling and Numerical Simulation of Fluid-Structure Interaction in Circle of Willis by : Aria Alimi
Download or read book Modeling and Numerical Simulation of Fluid-Structure Interaction in Circle of Willis written by Aria Alimi and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
The main focus of this study is based on the numerical study of hemodynamics of blood and arterial wall behavior in Circle of Willis.
Book Synopsis Modeling and Numerical Simulation of Fluid-Structure Interaction in Circle of Willis by : Aria Alimi
Download or read book Modeling and Numerical Simulation of Fluid-Structure Interaction in Circle of Willis written by Aria Alimi and published by kassel university press GmbH. This book was released on 2019-01-01 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main focus of this study is based on the numerical study of hemodynamics of blood and arterial wall behavior in Circle of Willis.
This book provides the fundamental basics for solving fluid structure interaction problems, and describes different algorithms and numerical methods used to solve problems where fluid and structure can be weakly or strongly coupled. These approaches are illustrated with examples arising from industrial or academic applications. Each of these approaches has its own performance and limitations. The added mass technique is described first. Following this, for general coupling problems involving large deformation of the structure, the Navier-Stokes equations need to be solved in a moving mesh using an ALE formulation. The main aspects of the fluid structure coupling are then developed. The first and by far simplest coupling method is explicit partitioned coupling. In order to preserve the flexibility and modularity that are inherent in the partitioned coupling, we also describe the implicit partitioned coupling using an iterative process. In order to reduce computational time for large-scale problems, an introduction to the Proper Orthogonal Decomposition (POD) technique applied to FSI problems is also presented. To extend the application of coupling problems, mathematical descriptions and numerical simulations of multiphase problems using level set techniques for interface tracking are presented and illustrated using specific coupling problems. Given the book's comprehensive coverage, engineers, graduate students and researchers involved in the simulation of practical fluid structure interaction problems will find this book extremely useful.
Book Synopsis Arbitrary Lagrangian Eulerian and Fluid-Structure Interaction by : M'hamed Souli
Download or read book Arbitrary Lagrangian Eulerian and Fluid-Structure Interaction written by M'hamed Souli and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the fundamental basics for solving fluid structure interaction problems, and describes different algorithms and numerical methods used to solve problems where fluid and structure can be weakly or strongly coupled. These approaches are illustrated with examples arising from industrial or academic applications. Each of these approaches has its own performance and limitations. The added mass technique is described first. Following this, for general coupling problems involving large deformation of the structure, the Navier-Stokes equations need to be solved in a moving mesh using an ALE formulation. The main aspects of the fluid structure coupling are then developed. The first and by far simplest coupling method is explicit partitioned coupling. In order to preserve the flexibility and modularity that are inherent in the partitioned coupling, we also describe the implicit partitioned coupling using an iterative process. In order to reduce computational time for large-scale problems, an introduction to the Proper Orthogonal Decomposition (POD) technique applied to FSI problems is also presented. To extend the application of coupling problems, mathematical descriptions and numerical simulations of multiphase problems using level set techniques for interface tracking are presented and illustrated using specific coupling problems. Given the book's comprehensive coverage, engineers, graduate students and researchers involved in the simulation of practical fluid structure interaction problems will find this book extremely useful.
This book is intended to be a useful contribution for the modern teaching of applied mathematics, educating Industrial Mathematicians that will meet the growing demand for such experts. It covers many applications where mathematics play a fundamental role, from biology, telecommunications, medicine, physics, finance and industry. It is presented in such a way that can be useful in Modelation, Simulation and Optimization courses, targeting master and PhD students. Its content is based on many editions from the successful series of Modelling Weeks organized by the European Consortium of Mathematics in Industry (ECMI). Each chapter addresses a particular problem, and is written in a didactic way, providing the description of the problem, the particular way of approaching it and the proposed solution, along with the results obtained.
Book Synopsis Mathematical Modelling in Real Life Problems by : Ewald Lindner
Download or read book Mathematical Modelling in Real Life Problems written by Ewald Lindner and published by Springer Nature. This book was released on 2020-12-05 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to be a useful contribution for the modern teaching of applied mathematics, educating Industrial Mathematicians that will meet the growing demand for such experts. It covers many applications where mathematics play a fundamental role, from biology, telecommunications, medicine, physics, finance and industry. It is presented in such a way that can be useful in Modelation, Simulation and Optimization courses, targeting master and PhD students. Its content is based on many editions from the successful series of Modelling Weeks organized by the European Consortium of Mathematics in Industry (ECMI). Each chapter addresses a particular problem, and is written in a didactic way, providing the description of the problem, the particular way of approaching it and the proposed solution, along with the results obtained.
Mathematical and numerical modelling of the human cardiovascular system has attracted remarkable research interest due to its intrinsic mathematical difficulty and the increasing impact of cardiovascular diseases worldwide. This book addresses the two principal components of the cardiovascular system: arterial circulation and heart function. It systematically describes all aspects of the problem, stating the basic physical principles, analysing the associated mathematical models that comprise PDE and ODE systems, reviewing sound and efficient numerical methods for their approximation, and simulating both benchmark problems and clinically inspired problems. Mathematical modelling itself imposes tremendous challenges, due to the amazing complexity of the cardiovascular system and the need for computational methods that are stable, reliable and efficient. The final part is devoted to control and inverse problems, including parameter estimation, uncertainty quantification and the development of reduced-order models that are important when solving problems with high complexity, which would otherwise be out of reach.
Book Synopsis Mathematical Modelling of the Human Cardiovascular System by : Alfio Quarteroni
Download or read book Mathematical Modelling of the Human Cardiovascular System written by Alfio Quarteroni and published by Cambridge University Press. This book was released on 2019-05-09 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical and numerical modelling of the human cardiovascular system has attracted remarkable research interest due to its intrinsic mathematical difficulty and the increasing impact of cardiovascular diseases worldwide. This book addresses the two principal components of the cardiovascular system: arterial circulation and heart function. It systematically describes all aspects of the problem, stating the basic physical principles, analysing the associated mathematical models that comprise PDE and ODE systems, reviewing sound and efficient numerical methods for their approximation, and simulating both benchmark problems and clinically inspired problems. Mathematical modelling itself imposes tremendous challenges, due to the amazing complexity of the cardiovascular system and the need for computational methods that are stable, reliable and efficient. The final part is devoted to control and inverse problems, including parameter estimation, uncertainty quantification and the development of reduced-order models that are important when solving problems with high complexity, which would otherwise be out of reach.
Book Synopsis International Workshop on Fluid-Structure Interaction. Theory, Numerics and Applications by : Stefan Hartmann
Download or read book International Workshop on Fluid-Structure Interaction. Theory, Numerics and Applications written by Stefan Hartmann and published by kassel university press GmbH. This book was released on 2009 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multi-Scale Computational Cardiology by : Ling Xia
Download or read book Multi-Scale Computational Cardiology written by Ling Xia and published by Frontiers Media SA. This book was released on 2022-03-07 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Hemodynamic computations represent a state-of-the-art approach for patient-specific assessment of cardiovascular pathologies. The book presents the development of reduced-order multiscale hemodynamic models for coronary artery disease, aortic coarctation and whole body circulation, which can be applied in routine clinical settings for personalized diagnosis. Specific parameter estimation frameworks are introduced for calibrating the parameters of the models and high performance computing solutions are employed to reduce their execution time. The personalized computational models are validated against patient-specific measurements. The book is written for scientists in the field of biomedical engineering focusing on the cardiovascular system, as well as for research-oriented physicians in cardiology and industrial players in the field of healthcare technologies.
Book Synopsis Patient-specific Hemodynamic Computations: Application to Personalized Diagnosis of Cardiovascular Pathologies by : Lucian Mihai Itu
Download or read book Patient-specific Hemodynamic Computations: Application to Personalized Diagnosis of Cardiovascular Pathologies written by Lucian Mihai Itu and published by Springer. This book was released on 2017-05-31 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hemodynamic computations represent a state-of-the-art approach for patient-specific assessment of cardiovascular pathologies. The book presents the development of reduced-order multiscale hemodynamic models for coronary artery disease, aortic coarctation and whole body circulation, which can be applied in routine clinical settings for personalized diagnosis. Specific parameter estimation frameworks are introduced for calibrating the parameters of the models and high performance computing solutions are employed to reduce their execution time. The personalized computational models are validated against patient-specific measurements. The book is written for scientists in the field of biomedical engineering focusing on the cardiovascular system, as well as for research-oriented physicians in cardiology and industrial players in the field of healthcare technologies.
Book Synopsis Ch8 Mechanisms of Vascular Disease by : Michael Lawrence-Brown
Download or read book Ch8 Mechanisms of Vascular Disease written by Michael Lawrence-Brown and published by University of Adelaide Press. This book was released on 2011 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt:
New updated edition first published with Cambridge University Press. This new edition includes 29 chapters on topics as diverse as pathophysiology of atherosclerosis, vascular haemodynamics, haemostasis, thrombophilia and post-amputation pain syndromes.
Book Synopsis Mechanisms of Vascular Disease by : Robert Fitridge
Download or read book Mechanisms of Vascular Disease written by Robert Fitridge and published by University of Adelaide Press. This book was released on 2011 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: New updated edition first published with Cambridge University Press. This new edition includes 29 chapters on topics as diverse as pathophysiology of atherosclerosis, vascular haemodynamics, haemostasis, thrombophilia and post-amputation pain syndromes.