A combination of algebraic multigrid method and adaptive mesh refinement for large-scale electromagnetic field calculation

2010 ◽  
Author(s):  
Zhanghong Tang ◽  
Jiansheng Yuan
Keyword(s):  
Electromagnetic Field ◽  
Adaptive Mesh Refinement ◽  
Large Scale ◽  
Multigrid Method ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Algebraic Multigrid ◽  
Field Calculation ◽  
Algebraic Multigrid Method

Development of an Object-Oriented Program With Adaptive Mesh Refinement for Heat Transfer Simulations

2007 ◽  
Author(s):  
Jianhu Nie ◽  
David A. Hopkins ◽  
Yitung Chen ◽  
Hsuan-Tsung Hsieh
Keyword(s):  
Heat Transfer ◽  
Adaptive Mesh Refinement ◽  
Large Scale ◽  
Mesh Refinement ◽  
Object Oriented ◽  
Adaptive Mesh ◽  
Time Cost ◽  
Test Bed ◽  
Element Analysis ◽  
Cpu Time

A 2D/3D object-oriented program with h-type adaptive mesh refinement method is developed for finite element analysis of the multi-physics applications including heat transfer. A framework with some basic classes that enable the code to be built accordingly to the type of problem to be solved is proposed. The program consists of different modules and classes, which ease code development for large-scale complex systems, code extension and program maintenance. The developed program can be used as a “test-bed” program for testing new analysis techniques and algorithms with high extensibility and flexibility. The overall mesh refinement causes the CPU time cost to greatly increase as the mesh is refined. However, the CPU time cost does not increase very much with the increase of the level of h-adaptive mesh refinement. The CPU time cost can be saved by up to 90%, especially for the simulated system with a large number of elements and nodes.

An adaptive mesh refinement solver for large-scale simulation of biological flows

2010 ◽  
Vol 26 (1) ◽  
pp. 86-100 ◽  
Author(s):  
Lorenzo Botti ◽  
Marina Piccinelli ◽  
Bogdan Ene-Iordache ◽  
Andrea Remuzzi ◽  
Luca Antiga
Keyword(s):  
Adaptive Mesh Refinement ◽  
Large Scale ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Large Scale Simulation ◽  
Biological Flows

scholarly journals Parallel Adaptive Mesh Refinement Combined with Additive Multigrid for the Efficient Solution of the Poisson Equation

2012 ◽  
Vol 2012 ◽  
pp. 1-24 ◽  
Author(s):  
Hua Ji ◽  
Fue-Sang Lien ◽  
Eugene Yee
Keyword(s):  
Data Structure ◽  
Poisson Equation ◽  
Adaptive Mesh Refinement ◽  
Multigrid Method ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Space Filling Curve ◽  
Grid Partitioning ◽  
Highly Efficient ◽  
The Poisson Equation

Three different speed-up methods (viz., additive multigrid method, adaptive mesh refinement (AMR), and parallelization) have been combined in order to provide a highly efficient parallel solver for the Poisson equation. Rather than using an ordinary tree data structure to organize the information on the adaptive Cartesian mesh, a modified form of the fully threaded tree (FTT) data structure is used. The Hilbert space-filling curve (SFC) approach has been adopted for dynamic grid partitioning (resulting in a partitioning that is near optimal with respect to load balancing on a parallel computational platform). Finally, an additive multigrid method (BPX preconditioner), which itself is parallelizable to a certain extent, has been used to solve the linear equation system arising from the discretization. Our numerical experiments show that the proposed parallel AMR algorithm based on the FTT data structure, Hilbert SFC for grid partitioning, and additive multigrid method is highly efficient.

Multigrid upwind Euler/Navier-Stokes computation on adaptive unstructured meshes

2001 ◽  
Vol 105 (1046) ◽  
pp. 173-184 ◽  
Author(s):  
Y. Zheng ◽  
L. He
Keyword(s):  
Adaptive Mesh Refinement ◽  
Multigrid Method ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Navier Stokes ◽  
Steady Flows ◽  
Flow Solver ◽  
Solution Convergence ◽  
Time Marching ◽  
Accuracy Speed

Abstract An unstructured flow solver with adaptive mesh refinement and multigrid acceleration is developed to efficiently compute two-dimensional inviscid and viscous steady flows about complex configurations. High resolution is achieved by using the upwind scheme coupled with adaptive mesh refinement. An aspect-ratio adaptive multigrid method is developed and applied to effectively accelerate the solution convergence of the explicit time-marching in the near wall regions with high aspect mesh ratios. Numerical examples are presented for configurations and conditions ranging from transonic to low speed flows to demonstrate accuracy, speed, and robustness of the method.

scholarly journals Radiative MHD simulations of the jets from RW Aurigae

2010 ◽  
Vol 6 (S275) ◽  
pp. 410-411
Author(s):  
Ovidiu Teşileanu ◽  
Andrea Mignone ◽  
Silvano Massaglia ◽  
Matthias Stute
Keyword(s):  
Emission Line ◽  
Adaptive Mesh Refinement ◽  
Large Scale ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Radiative Emission ◽  
Mhd Simulations ◽  
Stellar Jets ◽  
Complex Models

AbstractThe MHD simulations of stellar jets recently included complex models of radiative emission computation, allowing for better predictions in terms of emission line ratios. Employing also Adaptive Mesh Refinement, the large-scale propagation of jets could be followed. The simulation of multiple shockwaves originating in perturbations close to the jet origin and travelling along the jet beam allows for the construction of synthetic emission maps at various wavelengths, to be directly compared to observations. We apply this procedure for the jets originating from RW Aurigae.

scholarly journals Analyzing the Adaptive Mesh Refinement (AMR) Characteristics of a High-Order 2D Cubed-Sphere Shallow-Water Model

2016 ◽  
Vol 144 (12) ◽  
pp. 4641-4666 ◽  
Author(s):  
Jared O. Ferguson ◽  
Christiane Jablonowski ◽  
Hans Johansen ◽  
Peter McCorquodale ◽  
Phillip Colella ◽  
...  
Keyword(s):  
Shallow Water ◽  
Adaptive Mesh Refinement ◽  
Large Scale ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
High Order ◽  
Water Model ◽  
Test Cases ◽  
Shallow Water Model ◽  
Cubed Sphere

Abstract Adaptive mesh refinement (AMR) is a technique that has been featured only sporadically in atmospheric science literature. This paper aims to demonstrate the utility of AMR for simulating atmospheric flows. Several test cases are implemented in a 2D shallow-water model on the sphere using the Chombo-AMR dynamical core. This high-order finite-volume model implements adaptive refinement in both space and time on a cubed-sphere grid using a mapped-multiblock mesh technique. The tests consist of the passive advection of a tracer around moving vortices, a steady-state geostrophic flow, an unsteady solid-body rotation, a gravity wave impinging on a mountain, and the interaction of binary vortices. Both static and dynamic refinements are analyzed to determine the strengths and weaknesses of AMR in both complex flows with small-scale features and large-scale smooth flows. The different test cases required different AMR criteria, such as vorticity or height-gradient based thresholds, in order to achieve the best accuracy for cost. The simulations show that the model can accurately resolve key local features without requiring global high-resolution grids. The adaptive grids are able to track features of interest reliably without inducing noise or visible distortions at the coarse–fine interfaces. Furthermore, the AMR grids keep any degradations of the large-scale smooth flows to a minimum.

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