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On Finite Element Method Flux Corrected Transport Stabilization For Advection Diffusion Problems In A Partial Differential Algebraic Framework
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Book Synopsis On Finite Element Method-Flux Corrected Transport Stabilization for Advection-Diffusion Problems in a Partial Differential-Algebraic Framework by : Julia Niemeyer
Download or read book On Finite Element Method-Flux Corrected Transport Stabilization for Advection-Diffusion Problems in a Partial Differential-Algebraic Framework written by Julia Niemeyer and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Discontinuous Enrichment Method (DEM) for Multi-scale Transport Problems by : Irina Kalashnikova
Download or read book The Discontinuous Enrichment Method (DEM) for Multi-scale Transport Problems written by Irina Kalashnikova and published by Stanford University. This book was released on 2011 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: A discontinuous enrichment method (DEM) for the efficient finite element solution of advection-dominated transport problems in fluid mechanics whose solutions are known to possess multi-scale features is developed. Attention is focused specifically on the two-dimensional (2D) advection-diffusion equation, the usual scalar model for the Navier-Stokes equations. Following the basic DEM methodology [1], the usual Galerkin polynomial approximation is locally enriched by the free-space solutions to the governing homogeneous partial differential equation (PDE). For the constant-coefficient advection-diffusion equation, several families of free-space solutions are derived. These include a family of exponential functions that exhibit a steep gradient in some flow direction, and a family of discontinuous polynomials. A parametrization of the former class of functions with respect to an angle parameter is developed, so as to enable the systematic design and implementation of DEM elements of arbitrary orders. It is shown that the original constant-coefficient methodology has a natural extension to variable-coefficient advection-diffusion problems. For variable-coefficient transport problems, the approximation properties of DEM can be improved by augmenting locally the enrichment space with a "higher-order" enrichment function that solves the governing PDE with the advection field a(x) linearized to second order. A space of Lagrange multipliers, introduced at the element interfaces to enforce a weak continuity of the solution and related to the normal derivatives of the enrichment functions, is developed. The construction of several low and higher-order DEM elements fitting this paradigm is discussed in detail. Numerical results for several constant as well as variable-coefficient advection-diffusion benchmark problems reveal that these DEM elements outperform their standard Galerkin and stabilized Galerkin counterparts of comparable computational complexity by a large margin, especially when the flow is advection-dominated.
Book Synopsis A Stabilized Finite Element Method for Advection-diffusion Equations on Surfaces by : Maksim A. Olšanskij
Download or read book A Stabilized Finite Element Method for Advection-diffusion Equations on Surfaces written by Maksim A. Olšanskij and published by . This book was released on 2012 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Methods for Advection--diffusion Problems by : Cornelis Boudewijn Vreugdenhil
Download or read book Numerical Methods for Advection--diffusion Problems written by Cornelis Boudewijn Vreugdenhil and published by . This book was released on 1993 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1995 with total page 1208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Finite Element Flux-Corrected Transport (FEM-FCT) for the Euler and Navier-Stokes Equations by : Rainald Löhner
Download or read book Finite Element Flux-Corrected Transport (FEM-FCT) for the Euler and Navier-Stokes Equations written by Rainald Löhner and published by . This book was released on 1987 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Improved Finite Analytic Methods for Solving Advection-dominated Transport Equation in Highly Variable Velocity Field by : Cuifeng Wei
Download or read book Improved Finite Analytic Methods for Solving Advection-dominated Transport Equation in Highly Variable Velocity Field written by Cuifeng Wei and published by . This book was released on 1995 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Automated Solution of Differential Equations by the Finite Element Method by : Anders Logg
Download or read book Automated Solution of Differential Equations by the Finite Element Method written by Anders Logg and published by Springer Science & Business Media. This book was released on 2012-02-24 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.
Book Synopsis Analysis of a New Stabilized Higher Order Finite Element Method for Advection Diffusion Equations by : Lutz Tobiska
Download or read book Analysis of a New Stabilized Higher Order Finite Element Method for Advection Diffusion Equations written by Lutz Tobiska and published by . This book was released on 2005 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Adaptive Finite Element Methods for Differential Equations by : Wolfgang Bangerth
Download or read book Adaptive Finite Element Methods for Differential Equations written by Wolfgang Bangerth and published by Springer Science & Business Media. This book was released on 2003-01-23 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: The key issues are a posteriori error estimation and it automatic mesh adaptation. Besides the traditional approach of energy-norm error control, a new duality-based technique, the Dual Weighted Residual method for goal-oriented error estimation, is discussed in detail. This method aims at economical computation of arbitrary quantities of physical interest by properly adapting the computational mesh. This is typically required in the design cycles of technical applications. For example, the drag coefficient of a body immersed in a viscous flow is computed, then it is minimized by varying certain control parameters, and finally the stability of the resulting flow is investigated by solving an eigenvalue problem. `Goal-oriented' adaptivity is designed to achieve these tasks with minimal cost. At the end of each chapter some exercises are posed in order to assist the interested reader in better understanding the concepts presented. Solutions and accompanying remarks are given in the Appendix.
Book Synopsis Moving-grid Methods for Time-dependent Partial Differential Equations by : P. A. Zegeling
Download or read book Moving-grid Methods for Time-dependent Partial Differential Equations written by P. A. Zegeling and published by . This book was released on 1993 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2005-06 with total page 1108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Variational Deforming Finite Element Method for Computing the Propagation of Freezing Fronts in Porous Media as a Coupled Heat Flow, Fluid Flow, and Species Transport Process by : Ifiyenia Kececioglu
Download or read book A Variational Deforming Finite Element Method for Computing the Propagation of Freezing Fronts in Porous Media as a Coupled Heat Flow, Fluid Flow, and Species Transport Process written by Ifiyenia Kececioglu and published by . This book was released on 1987 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations by : Willem Hundsdorfer
Download or read book Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations written by Willem Hundsdorfer and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unique book on Reaction-Advection-Diffusion problems
Book Synopsis Application of the Space-time Conservation Element and Solution Element Method to Two-dimensional Advection-diffusion Problems by : Xiao-Yen Wang
Download or read book Application of the Space-time Conservation Element and Solution Element Method to Two-dimensional Advection-diffusion Problems written by Xiao-Yen Wang and published by . This book was released on 1995 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Finite Element and Reduced Dimension Methods for Partial Differential Equations by : Zhendong Luo
Download or read book Finite Element and Reduced Dimension Methods for Partial Differential Equations written by Zhendong Luo and published by Springer Nature. This book was released on with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stabilized Finite Element Methods for Convection-diffusion-reaction, Helmholtz and Stokes Problems by : Prashanth Nadukandi
Download or read book Stabilized Finite Element Methods for Convection-diffusion-reaction, Helmholtz and Stokes Problems written by Prashanth Nadukandi and published by . This book was released on 2012 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt:
