Adaptive Finite Element Solution Algorithm for the Euler Equations, Richard A. Shapiro
Автор: Albrecht Eberle; Arthur Rizzi; Ernst Heinrich Hirs Название: Numerical Solutions of the Euler Equations for Steady Flow Problems ISBN: 3528076348 ISBN-13(EAN): 9783528076344 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: While the first two of us have worked mainly on algorithmic problems, the third has been concerned off and on with modelling and application problems of Euler methods. The problem which we soon faced, was that the field still is moving at a fast pace, for instance because hyper- sonic computation problems became more and more important.
Автор: Alain Dervieux Название: Numerical Simulation of Compressible Euler Flows ISBN: 3528076267 ISBN-13(EAN): 9783528076269 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: "Proceedings of the GAMM Workshop on the Numerical Simulation of Compressible Euler Flows, that was held at INRIA, Rocquencourt (France), on June 10-13, 1986"--Foreword.
Автор: Dieter Suisky Название: Euler as Physicist ISBN: 3642094279 ISBN-13(EAN): 9783642094279 Издательство: Springer Рейтинг: Цена: 14365.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The subject of the book is the development of physics in the 18th century centered upon the fundamental contributions of Leonhard Euler to physics and mathematics. The book examines how Euler coordinated his progress in mathematics with his progress in physics.
This monograph presents numerical methods for solving transient wave equations (i.e. in time domain). More precisely, it provides an overview of continuous and discontinuous finite element methods for these equations, including their implementation in physical models, an extensive description of 2D and 3D elements with different shapes, such as prisms or pyramids, an analysis of the accuracy of the methods and the study of the Maxwell’s system and the important problem of its spurious free approximations. After recalling the classical models, i.e. acoustics, linear elastodynamics and electromagnetism and their variational formulations, the authors present a wide variety of finite elements of different shapes useful for the numerical resolution of wave equations. Then, they focus on the construction of efficient continuous and discontinuous Galerkin methods and study their accuracy by plane wave techniques and a priori error estimates. A chapter is devoted to the Maxwell’s system and the important problem of its spurious-free approximations. Treatment of unbounded domains by Absorbing Boundary Conditions (ABC) and Perfectly Matched Layers (PML) is described and analyzed in a separate chapter. The two last chapters deal with time approximation including local time-stepping and with the study of some complex models, i.e. acoustics in flow, gravity waves and vibrating thin plates. Throughout, emphasis is put on the accuracy and computational efficiency of the methods, with attention brought to their practical aspects.
This monograph also covers in details the theoretical foundations and numerical analysis of these methods. As a result, this monograph will be of interest to practitioners, researchers, engineers and graduate students involved in the numerical simulation
Описание: However, the classical boundary integral equation formulations of this problem either have no solutions or do not have unique solutions at certain characteristic frequencies (which depend on the surface geometry) and it is necessary to employ modified boundary integral equation formulations which are valid for all frequencies.
Описание: Presents different formulations of the equations governing incompressible viscous flows, in the form needed for developing numerical solution procedures. This book discusses the conditions required to satisfy the no-slip boundary conditions in the various formulations. For each formulation, it provides a statement of the mathematical problem.
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