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

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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:

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

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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 Anisotropic Block-Based Adaptive Mesh Refinement Finite-Volume Scheme

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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.

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

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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

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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.

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

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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:

Parallel Anisotropic Block-based Adaptive Mesh Refinement Algorithm For Three-dimensional Flows

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Parallel Anisotropic Block-based Adaptive Mesh Refinement Algorithm For Three-dimensional Flows by : Michael Williamschen

Download or read book Parallel Anisotropic Block-based Adaptive Mesh Refinement Algorithm For Three-dimensional Flows written by Michael Williamschen and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Adaptive Mesh Refinement Based on a Posteriori Error Estimation

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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:

High-Order WENO Finite Volume Methods on Cartesian Grids with Adaptive Mesh Refinement

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis High-Order WENO Finite Volume Methods on Cartesian Grids with Adaptive Mesh Refinement by : Pawel Buchmüller

Download or read book High-Order WENO Finite Volume Methods on Cartesian Grids with Adaptive Mesh Refinement written by Pawel Buchmüller and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Development of a High-Order Finite-Volume Method for Unstructured Meshes

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ISBN 13 : 9780494760994
Total Pages : 202 pages
Book Rating : 4.7/5 (69 download)

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Book Synopsis Development of a High-Order Finite-Volume Method for Unstructured Meshes by : Sean McDonald

Download or read book Development of a High-Order Finite-Volume Method for Unstructured Meshes written by Sean McDonald and published by . This book was released on 2011 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of high-order solution methods remain a very active field of research in Computational Fluid Dynamics (CFD). These types of schemes have the potential to reduce the computational cost necessary to compute solutions to a desired level of accuracy. The goal of this thesis has been to develop a high-order Central Essentially Non Oscillatory (CENO) finite volume scheme for multi-block unstructured meshes. In particular, solutions to the compressible, inviscid Euler equations are considered. The CENO method achieves a high-order spatial reconstruction based on the k-exact method, combined with hybrid switching to limited piecewise linear reconstruction in non-smooth regions to maintain monotonicity. Additionally, fourth-order Runge-Kutta time marching is applied. The solver described has been validated through a combination of high-order function reconstructions, and solutions to the Euler equations. Cases have been selected to demonstrate high-orders of convergence, the application of the hybrid switching method, and the multi-block techniques which has been implemented.

Patch-based Adaptive Mesh Refinement for Multimaterial Hydrodynamics

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ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (316 download)

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Book Synopsis Patch-based Adaptive Mesh Refinement for Multimaterial Hydrodynamics by : B. Liu

Download or read book Patch-based Adaptive Mesh Refinement for Multimaterial Hydrodynamics written by B. Liu and published by . This book was released on 2005 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present a patch-based direct Eulerian adaptive mesh refinement (AMR) algorithm for modeling real equation-of-state, multimaterial compressible flow with strength. Our approach to AMR uses a hierarchical, structured grid approach first developed by (Berger and Oliger 1984), (Berger and Oliger 1984). The grid structure is dynamic in time and is composed of nested uniform rectangular grids of varying resolution. The integration scheme on the grid hierarchy is a recursive procedure in which the coarse grids are advanced, then the fine grids are advanced multiple steps to reach the same time, and finally the coarse and fine grids are synchronized to remove conservation errors during the separate advances. The methodology presented here is based on a single grid algorithm developed for multimaterial gas dynamics by (Colella et al. 1993), refined by(Greenough et al. 1995), and extended to the solution of solid mechanics problems with significant strength by (Lomov and Rubin 2003). The single grid algorithm uses a second-order Godunov scheme with an approximate single fluid Riemann solver and a volume-of-fluid treatment of material interfaces. The method also uses a non-conservative treatment of the deformation tensor and an acoustic approximation for shear waves in the Riemann solver. This departure from a strict application of the higher-order Godunov methodology to the equation of solid mechanics is justified due to the fact that highly nonlinear behavior of shear stresses is rare. This algorithm is implemented in two codes, Geodyn and Raptor, the latter of which is a coupled rad-hydro code. The present discussion will be solely concerned with hydrodynamics modeling. Results from a number of simulations for flows with and without strength will be presented.

Vectorization and Patch-based Adaptive Mesh Refinement for Finite Volume Solvers

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (112 download)

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Book Synopsis Vectorization and Patch-based Adaptive Mesh Refinement for Finite Volume Solvers by : Cháulio de Resende Ferreira

Download or read book Vectorization and Patch-based Adaptive Mesh Refinement for Finite Volume Solvers written by Cháulio de Resende Ferreira and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A 3-D Adaptive Mesh Refinement Algorithm for Multimaterial Gas Dynamics

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ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (893 download)

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Book Synopsis A 3-D Adaptive Mesh Refinement Algorithm for Multimaterial Gas Dynamics by :

Download or read book A 3-D Adaptive Mesh Refinement Algorithm for Multimaterial Gas Dynamics written by and published by . This book was released on 1991 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adaptive Mesh Refinement (AMR) in conjunction with high order upwind finite difference methods has been used effectively on a variety of problems. In this paper we discuss an implementation of an AMR finite difference method that solves the equations of gas dynamics with two material species in three dimensions. An equation for the evolution of volume fractions augments the gas dynamics system. The material interface is preserved and tracked from the volume fractions using a piecewise linear reconstruction technique. 14 refs., 4 figs.

Adaptive Mesh Refinement Method for CFD Applications

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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.

Adaptive Mesh Refinement for a Finite Difference Scheme Using a Quadtree Decomposition Approach

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (69 download)

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Book Synopsis Adaptive Mesh Refinement for a Finite Difference Scheme Using a Quadtree Decomposition Approach by : Nandagopalan Auviur Srinivasa

Download or read book Adaptive Mesh Refinement for a Finite Difference Scheme Using a Quadtree Decomposition Approach written by Nandagopalan Auviur Srinivasa and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Some numerical simulations of multi-scale physical phenomena consume a significant amount of computational resources, since their domains are discretized on high resolution meshes. An enormous wastage of these resources occurs in refinement of sections of the domain where computation of the solution does not require high resolutions. This problem is effectively addressed by adaptive mesh refinement (AMR), a technique of local refinement of a mesh only in sections where needed, thus allowing concentration of effort where it is required. Sections of the domain needing high resolution are generally determined by means of a criterion which may vary depending on the nature of the problem. Fairly straightforward criteria could include comparing the solution to a threshold or the gradient of a solution, that is, its local rate of change to a threshold. While the former criterion is not particularly rigorous and hardly ever represents a physical phenomenon of interest, it is simple to implement. However, the gradient criterion is not as simple to implement as a direct comparison of values, but it is still quick and a good indicator of the effectiveness of the AMR technique. The objective of this thesis is to arrive at an adaptive mesh refinement algorithm for a finite difference scheme using a quadtree decomposition approach. In the AMR algorithm developed, a mesh of increasingly fine resolution permits high resolution computation in sub-domains of interest and low resolution in others. In this thesis work, the gradient of the solution has been considered as the criterion determining the regions of the domain needing refinement. Initial tests using the AMR algorithm demonstrate that the paradigm adopted has considerable promise for a variety of research problems. The tests performed thus far depict that the quantity of computational resources consumed is significantly less while maintaining the quality of the solution. Analysis included comparison of results obtained with analytical solutions for four test problems, as well as a thorough study of a contemporary problem in solid mechanics.

Relativistic Hydrodynamics and Magnetohydrodynamics

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ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Relativistic Hydrodynamics and Magnetohydrodynamics by : André Lichnerowicz

Download or read book Relativistic Hydrodynamics and Magnetohydrodynamics written by André Lichnerowicz and published by . This book was released on 1967 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Immersed Boundary Method

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Publisher : Springer Nature
ISBN 13 : 9811539405
Total Pages : 441 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Immersed Boundary Method by : Somnath Roy

Download or read book Immersed Boundary Method written by Somnath Roy and published by Springer Nature. This book was released on 2020-05-15 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the emerging applications of immersed boundary (IB) methods in computational mechanics and complex CFD calculations. It discusses formulations of different IB implementations and also demonstrates applications of these methods in a wide range of problems. It will be of special value to researchers and engineers as well as graduate students working on immersed boundary methods, specifically on recent developments and applications. The book can also be used as a supplementary textbook in advanced courses in computational fluid dynamics.