Author: Susanne ClausPublisher:
ISBN:
Category :
Languages : en
Pages : 249
Book Description
Numerical Simulation of Complex Viscoelastic Flows Using Discontinuous Galerkin Spectral/hp Element Methods
Numerical Simulation of Incompressible Viscous Flow
Author: Roland GlowinskiPublisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110785056
Category : Mathematics
Languages : en
Pages : 236
Book Description
This book on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to apply operator splitting techniques to decouple complicated computational fluid dynamics problems into a sequence of relatively simpler sub-problems at each time step, such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid. Efficient and robust numerical methods for solving those resulting simpler sub-problems are introduced and discussed. Interesting computational results are presented to show the capability of methodologies addressed in the book.
Numerical Simulation of Viscoelastic Fluid Flows by Spectral Element Methods and Time-dependent Algorithms
Author: Nicolas FiétierMathematical and Computational Methods for Compressible Flow
Author: Miloslav FeistauerPublisher: Oxford University Press, USA
ISBN: 9780198505884
Category : Computers
Languages : en
Pages : 560
Book Description
This book is concerned with mathematical and numerical methods for compressible flow. It aims to provide the reader with a sufficiently detailed and extensive, mathematically precise, but comprehensible guide, through a wide spectrum of mathematical and computational methods used in Computational Fluid Dynamics (CFD) for the numerical simulation of compressible flow. Up-to-date techniques applied in the numerical solution of inviscid as well as viscous compressible flow on unstructured meshes are explained, thus allowing the simulation of complex three-dimensional technically relevant problems. Among some of the methods addressed are finite volume methods using approximate Riemann solvers, finite element techniques, such as the streamline diffusion and the discontinuous Galerkin methods, and combined finite volume - finite element schemes. The book gives a complex insight into the numerics of compressible flow, covering the development of numerical schemes and their theoretical mathematical analysis, their verification on test problems and use in solving practical engineering problems. The book will be helpful to specialists coming into contact with CFD - pure and applied mathematicians, aerodynamists, engineers, physicists and natural scientists. It will also be suitable for advanced undergraduate, graduate and postgraduate students of mathematics and technical sciences.
Simulation of Nonisothermal and Time-dependent Viscoelastic Flows
Author: Mark Davis SmithMathematical Analysis of Viscoelastic Flows
Author: Michael RenardyPublisher: SIAM
ISBN: 0898714575
Category : Mathematics
Languages : en
Pages : 110
Book Description
This monograph is based on a series of lectures presented at the 1999 NSF-CBMS Regional Research Conference on Mathematical Analysis of Viscoelastic Flows. It begins with an introduction to phenomena observed in viscoelastic flows, the formulation of mathematical equations to model such flows, and the behavior of various models in simple flows. It also discusses the asymptotics of the high Weissenberg limit, the analysis of flow instabilities, the equations of viscoelastic flows, jets and filaments and their breakup, as well as several other topics.
Direct Numerical Simulation of Multi-Phase Flows Using Extended Discontinuous Galerkin Methods
Author: Martin SmudaPublisher:
ISBN:
Category : Galerkin methods
Languages : en
Pages :
Book Description
Direct Numerical Simulations (DNS) of Turbulent Flows in an Undulating Channel
Author: Luo WangPublisher:
ISBN:
Category :
Languages : en
Pages : 300
Book Description
In summary, in this work we have developed and successfully tested all the necessary ingredients for a successful simulation of viscoelastic turbulent flow in a wavy channel. It is only a matter of time in future work to address the fine tuning of parameters such as the diffusivity, time integration scheme, etc. in order to successfully perform the very large scale simulations needed to reproduce viscoelastic turbulent flows in a wavy channel flow geometry.
A Multi-resolution Discontinuous Galerkin Method for Unsteady Compressible Flows
Author: Andrew Brian SheltonPublisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages :
Book Description
The issue of local scale and smoothness presents a crucial and daunting challenge for numerical simulation methods in fluid dynamics. Yet in the interests of both accuracy and economy, how can one devise a general technique that efficiently resolves flow features of consequence and discriminates against others which are either ``negligible' or amenable to ``universal' modeling? This is particularly difficult because geometries of engineering interest are complex and multi-dimensional, precluding a priori knowledge of the flowfield. To address this challenge, the current work employs wavelet theory for the local scale decomposition of functions, which provides a natural mechanism for the adaptive compression of data. The resulting technique is known as the Multi-Resolution Discontinuous Galerkin (MRDG) method.
Author: Gien-Huang Wu