A Framework For Mesh Refinement Suitable For Finite Volume And Discontinuous Galerkin Schemes With Application To Multiphase Flow Prediction

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A Framework for Mesh Refinement Suitable for Finite-Volume and Discontinuous-Galerkin Schemes with Application to Multiphase Flow Prediction

Author : Andrée-Anne Dion-Dallaire
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (129 download)

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Book Synopsis A Framework for Mesh Refinement Suitable for Finite-Volume and Discontinuous-Galerkin Schemes with Application to Multiphase Flow Prediction by : Andrée-Anne Dion-Dallaire

Download or read book A Framework for Mesh Refinement Suitable for Finite-Volume and Discontinuous-Galerkin Schemes with Application to Multiphase Flow Prediction written by Andrée-Anne Dion-Dallaire and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling multiphase flow, more specifically particle-laden flow, poses multiple challenges. These difficulties are heightened when the particles are differentiated by a set of "internal" variables, such as size or temperature. Traditional treatments of such flows can be classified in two main categories, Lagrangian and Eulerian methods. The former approaches are highly accurate but can also lead to extremely expensive computations and challenges to load balancing on parallel machines. In contrast, the Eulerian models offer the promise of less expensive computations but often introduce modelling artifacts and can become more complicated and expensive when a large number of internal variables are treated. Recently, a new model was proposed to treat such situations. It extends the ten-moment Gaussian model for viscous gases to the treatment of a dilute particle phase with an arbitrary number of internal variables. In its initial application, the only internal variable chosen for the particle phase was the particle diameter. This new polydisperse Gaussian model (PGM) comprises 15 equations, has an eigensystem that can be expressed in closed form and also possesses a convex entropy. Previously, this model has been tested in one dimension. The PGM was developed with the detonation of radiological dispersal devices (RDD) as an immediate application. The detonation of RDDs poses many numerical challenges, namely the wide range of spatial and temporal scales as well as the high computational costs to accurately resolve solutions. In order to address these issues, the goal of this current project is to develop a block-based adaptive mesh refinement (AMR) implementation that can be used in conjunction with a parallel computer. Another goal of this project is to obtain the first three-dimensional results for the PGM. In this thesis, the kinetic theory of gases underlying the development of the PGM is studied. Different numerical schemes and adaptive mesh refinement methods are described. The new block-based adaptive mesh refinement algorithm is presented. Finally, results for different flow problems using the new AMR algorithm are shown, as well as the first three-dimensional results for the PGM.

Adaptive Mesh Refinement - Theory and Applications

Author : Tomasz Plewa
Publisher : Springer Science & Business Media
ISBN 13 : 3540270396
Total Pages : 550 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Adaptive Mesh Refinement - Theory and Applications by : Tomasz Plewa

Download or read book Adaptive Mesh Refinement - Theory and Applications written by Tomasz Plewa and published by Springer Science & Business Media. This book was released on 2005-12-20 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced numerical simulations that use adaptive mesh refinement (AMR) methods have now become routine in engineering and science. Originally developed for computational fluid dynamics applications these methods have propagated to fields as diverse as astrophysics, climate modeling, combustion, biophysics and many others. The underlying physical models and equations used in these disciplines are rather different, yet algorithmic and implementation issues facing practitioners are often remarkably similar. Unfortunately, there has been little effort to review the advances and outstanding issues of adaptive mesh refinement methods across such a variety of fields. This book attempts to bridge this gap. The book presents a collection of papers by experts in the field of AMR who analyze past advances in the field and evaluate the current state of adaptive mesh refinement methods in scientific computing.

Adaptive Mesh Refinement Method for CFD Applications

Author : Oscar Luis Antepara Zambrano
Publisher :
ISBN 13 :
Total Pages : 158 pages
Book Rating : 4.:/5 (112 download)

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Book Synopsis Adaptive Mesh Refinement Method for CFD Applications by : Oscar Luis Antepara Zambrano

Download or read book Adaptive Mesh Refinement Method for CFD Applications written by Oscar Luis Antepara Zambrano and published by . This book was released on 2019 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of this thesis is the development of an adaptive mesh refinement (AMR) algorithm for computational fluid dynamics simulations using hexahedral and tetrahedral meshes. This numerical methodology is applied in the context of large-eddy simulations (LES) of turbulent flows and direct numerical simulations (DNS) of interfacial flows, to bring new numerical research and physical insight. For the fluid dynamics simulations, the governing equations, the spatial discretization on unstructured grids and the numerical schemes for solving Navier-Stokes equations are presented. The equations follow a discretization by conservative finite-volume on collocated meshes. For the turbulent flows formulation, the spatial discretization preserves symmetry properties of the continuous differential operators and the time integration follows a self-adaptive strategy, which has been well tested on unstructured grids. Moreover, LES model consisting of a wall adapting local-eddy-viscosity within a variational multi-scale formulation is used for the applications showed in this thesis. For the two-phase flow formulation, a conservative level-set method is applied for capturing the interface between two fluids and is implemented with a variable density projection scheme to simulate incompressible two-phase flows on unstructured meshes. The AMR algorithm developed in this thesis is based on a quad/octree data structure and keeps a relation of 1:2 between levels of refinement. In the case of tetrahedral meshes, a geometrical criterion is followed to keep the quality metric of the mesh on a reasonable basis. The parallelization strategy consists mainly in the creation of mesh elements in each sub-domain and establishes a unique global identification number, to avoid duplicate elements. Load balance is assured at each AMR iteration to keep the parallel performance of the CFD code. Moreover, a mesh multiplication algorithm (02) is reported to create large meshes, with different kind of mesh elements, but preserving the topology from a coarser original mesh. This thesis focuses on the study of turbulent flows and two-phase flows using an AMR framework. The cases studied for LES of turbulent flows applications are the flow around one and two separated square cylinders, and the flow around a simplified car model. In this context, a physics-based refinement criterion is developed, consisting of the residual velocity calculated from a multi-scale decomposition of the instantaneous velocity. This criteria ensures grid adaptation following the main vortical structures and giving enough mesh resolution on the zones of interest, i.e., flow separation, turbulent wakes, and vortex shedding. The cases studied for the two-phase flows are the DNS of 2D and 3D gravity-driven bubble, with a particular focus on the wobbling regime. A study of rising bubbles in the wobbling regime and the effect of dimensionless numbers on the dynamic behavior of the bubbles are presented. Moreover, the use of tetrahedral AMR is applied for the numerical simulation of gravity-driven bubbles in complex domains. On this topic, the methodology is validated on bubbles rising in cylindrical channels with different topology, where the study of these cases contributed to having new numerical research and physical insight in the development of a rising bubble with wall effects.

Block-Based Adaptive Mesh Refinement Finite-Volume Scheme for Hybrid Multi-Block Meshes

Author : Jason Z. X. Zheng
Publisher :
ISBN 13 : 9780494929377
Total Pages : pages
Book Rating : 4.9/5 (293 download)

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Book Synopsis Block-Based Adaptive Mesh Refinement Finite-Volume Scheme for Hybrid Multi-Block Meshes by : Jason Z. X. Zheng

Download or read book Block-Based Adaptive Mesh Refinement Finite-Volume Scheme for Hybrid Multi-Block Meshes written by Jason Z. X. Zheng and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Parallel, Block-based, Adaptive Mesh Refinement, Finite-volume Scheme for Solution of Three-dimensional Favre-averaged Navier-Stokes Equations

Download Parallel, Block-based, Adaptive Mesh Refinement, Finite-volume Scheme for Solution of Three-dimensional Favre-averaged Navier-Stokes Equations PDF Online Free

Author : Shawn Shamendra Prasad
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Parallel, Block-based, Adaptive Mesh Refinement, Finite-volume Scheme for Solution of Three-dimensional Favre-averaged Navier-Stokes Equations by : Shawn Shamendra Prasad

Download or read book Parallel, Block-based, Adaptive Mesh Refinement, Finite-volume Scheme for Solution of Three-dimensional Favre-averaged Navier-Stokes Equations written by Shawn Shamendra Prasad and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mesh Generation

Author : Pascal Jean Frey
Publisher : Hermes Science Publications
ISBN 13 : 9781903398005
Total Pages : 814 pages
Book Rating : 4.3/5 (98 download)

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Book Synopsis Mesh Generation by : Pascal Jean Frey

Download or read book Mesh Generation written by Pascal Jean Frey and published by Hermes Science Publications. This book was released on 2000 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt: The numerical simulation of physical problems expressed in terms of partial differential equations (so-called PDE's) using a finite element, finite volume, boundary element, or any other numerical method requires the discretization of the domain of interest into a set of elements, i.e. a mesh. The differential equations are approximated by a set of algebraic equations on this mesh, this set being then solved to provide the approximate solution of the partial differential system over the field. The discretization requires certain properties for the solution to be exploitable and must at least conform to all domain boundaries in order to accurately represent boundary conditions. Consequently, the mesh generation stage, as an essential pre-requisite, is of utmost importance in the computational schemes, as it is related to the convergence of the computational scheme as well as to the accuracy of the numerical solutions. There is indeed a variety of algorithms suitable to produce such meshes. Some of these methods are designed to handle specific geometric situations while others can be used in a more general context. User-driven, semi-automatic as well as fully automatic methods exist leading to structured, unstructured or mixed meshes. The mesh generation problems are mainly related to the boundary meshing (line, curve and surface meshing) and domain meshing issues (planar domain or volumetric domain). Numerous computational issues must be carefully addressed for designing reliable and robust meshing algorithms. These issues concern computer-related data structures and algorithms (low-level routines) as well as advanced data structures and computational schemes (high-level routines). In this regard, basic computational tools, geometric and discrete geometric notions, computational and mesh data structures, element and mesh definitions are of significant importance. The aim of this book is to provide a comprehensive survey of the different algorithms and data structures useful for triangulation and meshing construction. In addition, several aspects will also be described, for instance mesh modification tools, mesh evaluation criteria, mesh optimization, including even adaptive mesh construction as well as parallel meshing techniques.

An Overset Mesh Framework for the Hybridizable Discontinuous Galerkin Finite Element Method

Author : Justin Kauffman
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis An Overset Mesh Framework for the Hybridizable Discontinuous Galerkin Finite Element Method by : Justin Kauffman

Download or read book An Overset Mesh Framework for the Hybridizable Discontinuous Galerkin Finite Element Method written by Justin Kauffman and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational simulations contain discretizations of both a physical domain and a mathematical model. In this dissertation, an overset mesh framework is used to discretize the physical domain, and the hybridizable discontinuous Galerkin (HDG) finite element method is used to discretize the mathematical model. It is proposed that using an overset mesh framework for the HDG method enables stable solutions to be computed for complex geometries and dynamic meshes. Overset mesh methods are chosen because they are efficient at decomposing geometrically complex domains. The HDG method was chosen because it provides solutions that are arbitrarily high-order accurate, reduces the size of the global discrete problem, and has the ability to solve elliptic, parabolic, and/or hyperbolic problems with a unified form of discretization. An overset mesh method can utilize an inherent property of the HDG method, the decomposition of the solution into global (face) and local (volume) parts. The global solution exists only on the cell boundaries; while, the local solution exists in the interior of each cell and is decoupled between neighboring cells. This decomposition introduces face-volume coupling in the weak form for degrees of freedom on cell boundaries, which is used as the foundation for the overset communication between subdomains.Ultimately, the goal of this work is to simulate full-scale hydrodynamic and fluid-structure interaction (FSI) problems. To achieve these simulations, the necessary building blocks must first be verified and validated in the overset-HDG framework. The building blocks demonstrated in this dissertation are steady convection-diffusion, linear elasticostatics, and pseudo-compressible Navier-Stokes in both Eulerian and arbitrary Lagrangian-Eulerian frames. Computational simulations are performed to demonstrate the applicability and accuracy of the overset-HDG algorithm.

Parallel Anisotropic Block-Based Adaptive Mesh Refinement Finite-Volume Scheme

Author : Jenmy Zimi Zhang
Publisher :
ISBN 13 : 9780494766118
Total Pages : 224 pages
Book Rating : 4.7/5 (661 download)

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Book Synopsis Parallel Anisotropic Block-Based Adaptive Mesh Refinement Finite-Volume Scheme by : Jenmy Zimi Zhang

Download or read book Parallel Anisotropic Block-Based Adaptive Mesh Refinement Finite-Volume Scheme written by Jenmy Zimi Zhang and published by . This book was released on 2011 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel anisotropic adaptive mesh refinement (AMR) technique is proposed and de- scribed. A block-based AMR approach is used which permits highly efficient and scalable implementations on parallel computer architectures and the use of multi-block, body-fitted computational grids for the treatment of complex geometries. However, rather than adopting the more usual isotropic approach to the refinement of the grid blocks, the proposed approach uses a binary hierarchical tree data structure that allows for anisotropic refinement of the grid blocks in each of the coordinate directions in an inde- pendent fashion. This allows for more efficient and accurate treatment of narrow layers, discontinuities, and/or shocks in the solutions which occur, for example, in the thin boundary and mixing layers of high-Reynolds-number viscous flows and in the regions of strong non-linear wave interactions of high-speed compressible flows with shocks. The anisotropic AMR technique is implemented within an existing finite-volume framework, which encompasses both explicit and implicit solution methods, and is capable of per- forming calculations with both second- and higher-order spatial accuracy. To clearly demonstrate the potential and feasibility of the proposed AMR technique, it is applied to the unsteady and steady-state solutions of both a model system, the advection diffusion equation, as well as the Euler equations governing compressible, inviscid, gaseous flows, both in two space dimensions.

Mesh Generation and Adaptation

Author : Rubén Sevilla
Publisher : Springer Nature
ISBN 13 : 3030925404
Total Pages : 328 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Mesh Generation and Adaptation by : Rubén Sevilla

Download or read book Mesh Generation and Adaptation written by Rubén Sevilla and published by Springer Nature. This book was released on 2022-05-18 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The developments in mesh generation are usually driven by the needs of new applications and/or novel algorithms. The last decade has seen a renewed interest in mesh generation and adaptation by the computational engineering community, due to the challenges introduced by complex industrial problems.Another common challenge is the need to handle complex geometries. Nowadays, it is becoming obvious that geometry should be persistent throughout the whole simulation process. Several methodologies that can carry the geometric information throughout the simulation stage are available, but due to the novelty of these methods, the generation of suitable meshes for these techniques is still the main obstacle for the industrial uptake of this technology.This book will cover different aspects of mesh generation and adaptation, with particular emphasis on cutting-edge mesh generation techniques for advanced discretisation methods and complex geometries.

Applied Computational Fluid Dynamics Techniques

Author : Rainald Löhner
Publisher : John Wiley & Sons
ISBN 13 : 9780470989661
Total Pages : 544 pages
Book Rating : 4.9/5 (896 download)

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Book Synopsis Applied Computational Fluid Dynamics Techniques by : Rainald Löhner

Download or read book Applied Computational Fluid Dynamics Techniques written by Rainald Löhner and published by John Wiley & Sons. This book was released on 2008-04-30 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational fluid dynamics (CFD) is concerned with the efficient numerical solution of the partial differential equations that describe fluid dynamics. CFD techniques are commonly used in the many areas of engineering where fluid behavior is an important factor. Traditional fields of application include aerospace and automotive design, and more recently, bioengineering and consumer and medical electronics. With Applied Computational Fluid Dynamics Techniques, 2nd edition, Rainald Löhner introduces the reader to the techniques required to achieve efficient CFD solvers, forming a bridge between basic theoretical and algorithmic aspects of the finite element method and its use in an industrial context where methods have to be both as simple but also as robust as possible. This heavily revised second edition takes a practice-oriented approach with a strong emphasis on efficiency, and offers important new and updated material on; Overlapping and embedded grid methods Treatment of free surfaces Grid generation Optimal use of supercomputing hardware Optimal shape and process design Applied Computational Fluid Dynamics Techniques, 2nd edition is a vital resource for engineers, researchers and designers working on CFD, aero and hydrodynamics simulations and bioengineering. Its unique practical approach will also appeal to graduate students of fluid mechanics and aero and hydrodynamics as well as biofluidics.

Runge-Kutta Discontinuous Galerkin Methods for Convection-dominated Problems

Author : Bernardo Cockburn
Publisher :
ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Runge-Kutta Discontinuous Galerkin Methods for Convection-dominated Problems by : Bernardo Cockburn

Download or read book Runge-Kutta Discontinuous Galerkin Methods for Convection-dominated Problems written by Bernardo Cockburn and published by . This book was released on 2000 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Parallel Implicit Adaptive Mesh Refinement Algorithm for Predicting Unsteady Fully-compressible Reactive Flows

Author : Scott Andrew Northrup
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis A Parallel Implicit Adaptive Mesh Refinement Algorithm for Predicting Unsteady Fully-compressible Reactive Flows by : Scott Andrew Northrup

Download or read book A Parallel Implicit Adaptive Mesh Refinement Algorithm for Predicting Unsteady Fully-compressible Reactive Flows written by Scott Andrew Northrup and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Development of High-order CENO Finite-volume Schemes with Block-based Adaptive Mesh Refinement (AMR).

Author : Lucian Ivan
Publisher :
ISBN 13 : 9780494778326
Total Pages : pages
Book Rating : 4.7/5 (783 download)

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Book Synopsis Development of High-order CENO Finite-volume Schemes with Block-based Adaptive Mesh Refinement (AMR). by : Lucian Ivan

Download or read book Development of High-order CENO Finite-volume Schemes with Block-based Adaptive Mesh Refinement (AMR). written by Lucian Ivan and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mesh Generation

Author : Pascal Frey
Publisher : John Wiley & Sons
ISBN 13 : 1118623827
Total Pages : 848 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Mesh Generation by : Pascal Frey

Download or read book Mesh Generation written by Pascal Frey and published by John Wiley & Sons. This book was released on 2013-03-11 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the second edition of this book is to provide a comprehensive survey of the different algorithms and data structures useful for triangulation and meshing construction. In addition, several aspects are given full coverage, such as mesh modification tools, mesh evaluation criteria, mesh optimization, adaptive mesh construction and parallel meshing techniques. This new edition has been comprehensively updated and also includes a new chapter on mobile or deformable meshes.

Mesh Enhancement

Author : Glen A. Hansen
Publisher : Imperial College Press
ISBN 13 : 1860944876
Total Pages : 533 pages
Book Rating : 4.8/5 (69 download)

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Book Synopsis Mesh Enhancement by : Glen A. Hansen

Download or read book Mesh Enhancement written by Glen A. Hansen and published by Imperial College Press. This book was released on 2005 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on mesh (grid) enhancement techniques ? specifically, the use of selected elliptic methods for both structured and unstructured meshes associated with computational physics applications. Mesh enhancement is the process in which an existing mesh is modified to better meet the requirements of the physics application. To provide the reader with sufficient background information, seven of the nine chapters contain a summary of the numerical simulation process, basic background on mesh terminology and generation approaches, computational geometry, discretization of differential equations, methods of solving linear and nonlinear algebraic systems, geometry of surfaces in Euclidean space, and general elliptic methods for mesh enhancement. Furthermore, these chapters use the concept of harmonic coordinates to develop a unifying framework, the Laplace-Beltrami system, which is the governing principle of the book. The final two chapters apply this scheme, along with other selected elliptic methods, to various structured and unstructured example problems.

Adaptive Mesh Refinement Based on a Posteriori Error Estimation

Author : Martin Juhas
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Adaptive Mesh Refinement Based on a Posteriori Error Estimation by : Martin Juhas

Download or read book Adaptive Mesh Refinement Based on a Posteriori Error Estimation written by Martin Juhas and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems

Author : Torsten Linß
Publisher : Springer
ISBN 13 : 3642051340
Total Pages : 331 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems by : Torsten Linß

Download or read book Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems written by Torsten Linß and published by Springer. This book was released on 2009-11-21 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book on numerical methods for singular perturbation problems – in part- ular, stationary reaction-convection-diffusion problems exhibiting layer behaviour. More precisely, it is devoted to the construction and analysis of layer-adapted meshes underlying these numerical methods. Numerical methods for singularly perturbed differential equations have been studied since the early 1970s and the research frontier has been constantly - panding since. A comprehensive exposition of the state of the art in the analysis of numerical methods for singular perturbation problems is [141] which was p- lished in 2008. As that monograph covers a big variety of numerical methods, it only contains a rather short introduction to layer-adapted meshes, while the present book is exclusively dedicated to that subject. An early important contribution towards the optimisation of numerical methods by means of special meshes was made by N.S. Bakhvalov [18] in 1969. His paper spawned a lively discussion in the literature with a number of further meshes - ing proposed and applied to various singular perturbation problems. However, in the mid 1980s, this development stalled, but was enlivened again by G.I. Shishkin’s proposal of piecewise-equidistant meshes in the early 1990s [121,150]. Because of their very simple structure, they are often much easier to analyse than other meshes, although they give numerical approximations that are inferior to solutions on c- peting meshes. Shishkin meshes for numerous problems and numerical methods have been studied since and they are still very much in vogue.