An Adaptive 3D Cartesian Approach for the Parallel Computation of Inviscid Flow about Static and Dynamic Configurations PDF Download
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Author: Jason Daniel Hunt
Publisher:
ISBN:
Category :
Languages : en
Pages : 570
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Book Description
Author: Jason Daniel Hunt
Publisher:
ISBN:
Category :
Languages : en
Pages : 570
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Book Description
Author: Remi Abgrall
Publisher: Elsevier
ISBN: 044463911X
Category : Mathematics
Languages : en
Pages : 612
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Book Description
Handbook on Numerical Methods for Hyperbolic Problems: Applied and Modern Issues details the large amount of literature in the design, analysis, and application of various numerical algorithms for solving hyperbolic equations that has been produced in the last several decades. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and become familiar with their relative advantages and limitations. - Provides detailed, cutting-edge background explanations of existing algorithms and their analysis - Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or those involved in applications - Written by leading subject experts in each field, the volumes provide breadth and depth of content coverage
Author: Robert Klöfkorn
Publisher: Springer Nature
ISBN: 3030436519
Category : Computers
Languages : en
Pages : 727
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Book Description
The proceedings of the 9th conference on "Finite Volumes for Complex Applications" (Bergen, June 2020) are structured in two volumes. The first volume collects the focused invited papers, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Topics covered include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. Altogether, a rather comprehensive overview is given on the state of the art in the field. The properties of the methods considered in the conference give them distinguished advantages for a number of applications. These include fluid dynamics, magnetohydrodynamics, structural analysis, nuclear physics, semiconductor theory, carbon capture utilization and storage, geothermal energy and further topics. The second volume covers reviewed contributions reporting successful applications of finite volume and related methods in these fields. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability, making the finite volume methods compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The book is a valuable resource for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations.
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 882
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Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 702
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Book Description
Author: Rupak Biswas
Publisher: DEStech Publications, Inc
ISBN: 160595022X
Category : Computers
Languages : en
Pages : 703
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Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 974
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Book Description
Author: Michael Frederick Barad
Publisher:
ISBN:
Category :
Languages : en
Pages : 354
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Author: YU-LIANG CHIANG
Publisher:
ISBN:
Category :
Languages : en
Pages : 402
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Book Description
the coarsest cells.
Author: Anna Tam
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 0
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Book Description
The solution of complex three-dimensional computational fluid dynamics (CFD) problems in general necessitates the use of a large number of mesh points to approximate directional flow features such as shocks, boundary layers, vortices and wakes. Such large grid sizes have motivated researchers to investigate methods of introducing very high aspect ratio elements to capture these features. In this Thesis, an anisotropic adaptive grid method has been developed for the solution of three-dimensional inviscid and viscous flows by the finite element method. An edge-based error estimate drives a mesh movement strategy that allows directional stretching and re-orientation of the grid with more mesh points introduced along those directions with rapidly changing gradients. The error estimate is built from a modified positive-definite form of the Hessian tensor of a selected solution variable or combination of variables. The resulting metric tensor controls the magnitude as well as, the direction of the grid stretching. The desired directionally adapted anisotropic mesh is constructed in physical space by a coordinate transformation based on this tensor. This research thus seeks a near-isotropic mesh in the transformed metric space and an equidistribution of the error over the mesh edges. The adaptive strategy can be considered to be the first 3-D implementation of an improved spring analogy-based algorithm originally applied on quadrilateral meshes. The adaptive methodology has been validated on various benchmark cases on both hexahedral and tetrahedral meshes. The numerical results obtained span inviscid and viscous flows, as well as internal and external aerodynamics. The effectiveness of the adaptive scheme to equidistribute the interpolation error over the edges of tetrahedral and hexahedral meshes has been gauged on analytical test cases where near-Gaussian distributions of the error were obtained. It was further demonstrated that the error estimate closely follows the true solution error. In analyzing the solution error of different sized non-adapted and adapted grids, one could not only achieve the same level of solution error by adapting and solving on a much coarser grid, but a significant reduction in solution time as well. All test cases revealed that the flow solver required lower amounts of artificial dissipation for solution on the final adapted grids. The current work should convincingly pave the way for its logical extension to unstructured grids, taking further advantage of refinement, coarsening and edge-swapping operations. It is strongly anticipated that this approach will shortly result in "optimal" grids.
