Local Uniform Mesh Refinement on Vector and Parallel Processors

1987 ◽  
pp. 349-367 ◽  
Author(s):  
William D. Gropp
Keyword(s):  
Mesh Refinement ◽  
Parallel Processors ◽  
Uniform Mesh

scholarly journals AMReX: Block-structured adaptive mesh refinement for multiphysics applications

2021 ◽  
pp. 109434202110228
Author(s):  
Weiqun Zhang ◽  
Andrew Myers ◽  
Kevin Gott ◽  
Ann Almgren ◽  
John Bell
Keyword(s):  
Adaptive Mesh Refinement ◽  
Mesh Refinement ◽  
Computational Cost ◽  
Adaptive Mesh ◽  
Uniform Mesh ◽  
Physical Processes ◽  
Structured Adaptive Mesh Refinement ◽  
Core Elements ◽  
Accelerator Design ◽  
Block Structured

Block-structured adaptive mesh refinement (AMR) provides the basis for the temporal and spatial discretization strategy for a number of Exascale Computing Project applications in the areas of accelerator design, additive manufacturing, astrophysics, combustion, cosmology, multiphase flow, and wind plant modeling. AMReX is a software framework that provides a unified infrastructure with the functionality needed for these and other AMR applications to be able to effectively and efficiently utilize machines from laptops to exascale architectures. AMR reduces the computational cost and memory footprint compared to a uniform mesh while preserving accurate descriptions of different physical processes in complex multiphysics algorithms. AMReX supports algorithms that solve systems of partial differential equations in simple or complex geometries and those that use particles and/or particle–mesh operations to represent component physical processes. In this article, we will discuss the core elements of the AMReX framework such as data containers and iterators as well as several specialized operations to meet the needs of the application projects. In addition, we will highlight the strategy that the AMReX team is pursuing to achieve highly performant code across a range of accelerator-based architectures for a variety of different applications.

Local Uniform Mesh Refinement with Moving Grids

1987 ◽  
Vol 8 (3) ◽  
pp. 292-304 ◽  
Author(s):  
William D. Gropp
Keyword(s):  
Mesh Refinement ◽  
Uniform Mesh ◽  
Moving Grids

scholarly journals Wavelet-based local mesh refinement for rainfall–runoff simulations

2020 ◽  
Vol 22 (5) ◽  
pp. 1059-1077 ◽  
Author(s):  
Ilhan Özgen-Xian ◽  
Georges Kesserwani ◽  
Daniel Caviedes-Voullième ◽  
Sergi Molins ◽  
Zexuan Xu ◽  
...  
Keyword(s):  
Case Studies ◽  
Predictive Accuracy ◽  
Mesh Refinement ◽  
Uniform Mesh ◽  
Catchment Scale ◽  
Bed Elevation ◽  
Local Mesh Refinement ◽  
Elevation Data ◽  
Bed Slope ◽  
Elevation Model

Abstract A wavelet-based local mesh refinement (wLMR) strategy is designed to generate multiresolution and unstructured triangular meshes from real digital elevation model (DEM) data for efficient hydrological simulations at the catchment scale. The wLMR strategy is studied considering slope- and curvature-based refinement criteria to analyze DEM inputs: the slope-based criterion uses bed elevation data as input to the wLMR strategy, whereas the curvature-based criterion feeds the bed slope data into it. The performance of the wLMR meshes generated by these two criteria is compared for hydrological simulations; first, using three analytical tests with the systematic variation in topography types and then by reproducing laboratory- and real-scale case studies. The bed elevation on the wLMR meshes and their simulation results are compared relative to those achieved on the finest uniform mesh. Analytical tests show that the slope- and curvature-based criteria are equally effective with the wLMR strategy, and that it is easier to decide which criterion to take in relation to the (regular) shape of the topography. For the realistic case studies: (i) slope analysis provides a better metric to assess the correlation of a wLMR mesh to the fine uniform mesh and (ii) both criteria predict outlet hydrographs with a close predictive accuracy to that on the uniform mesh, but the curvature-based criterion is found to slightly better capture the channeling patterns of real DEM data.

Parallel Guaranteed Quality Delaunay Uniform Mesh Refinement

2006 ◽  
Vol 28 (5) ◽  
pp. 1907-1926 ◽  
Author(s):  
Andrey N. Chernikov ◽  
Nikos P. Chrisochoides
Keyword(s):  
Mesh Refinement ◽  
Uniform Mesh ◽  
Guaranteed Quality

scholarly journals A Local Adaptive Mesh Refinement for JFO Cavitation Model on Cartesian Meshes

2021 ◽  
Vol 11 (21) ◽  
pp. 9879
Author(s):  
Wanjun Xu ◽  
Kang Li ◽  
Zhengyang Geng ◽  
Mingjie Zhang ◽  
Jiangang Yang
Keyword(s):  
Adaptive Mesh Refinement ◽  
Mesh Refinement ◽  
Computational Cost ◽  
Adaptive Mesh ◽  
Posteriori Error ◽  
Uniform Mesh ◽  
Nonuniform Mesh ◽  
A Cell ◽  
The Difference ◽  
Richardson Extrapolation Method

Nonuniform mesh is beneficial to reduce computational cost and improve the resolution of the interest area. In the paper, a cell-based adaptive mesh refinement (AMR) method was developed for bearing cavitation simulation. The bearing mesh can be optimized by local refinement and coarsening, allowing for a reasonable solution with special purpose. The AMR algorithm was constructed based on a quadtree data structure with a Z-order filling curve managing cells. The hybrids of interpolation schemes on hanging nodes were applied. A cell matching method was used to handle periodic boundary conditions. The difference schemes at the nonuniform mesh for the universal Reynolds equation were derived. Ausas’ cavitation algorithm was integrated into the AMR algorithm. The Richardson extrapolation method was employed as an a posteriori error estimation to guide the areas where they need to be refined. The cases of a journal bearing and a thrust bearing were studied. The results showed that the AMR method provided nearly the same accuracy results compared with the uniform mesh, while the number of mesh was reduced to 50–60% of the number of the uniform mesh. The computational efficiency was effectively improved. The AMR method is suggested to be a potential tool for bearing cavitation simulation.

scholarly journals Investigation of Electrical Stimulation Effect on Intracellular Calcium Dynamics Using Locally Uniform Mesh Refinement

2018 ◽  
Author(s):  
Mohammad Omid Oftadeh
Keyword(s):  
Tissue Engineering ◽  
Stem Cells ◽  
Electrical Stimulation ◽  
Computational Models ◽  
Environmental Changes ◽  
Biological Systems ◽  
Mesh Refinement ◽  
Uniform Mesh ◽  
Intracellular Calcium Dynamics ◽  
Spatio Temporal

AbstractModeling-based methods are conventionally exploited to simulate and predict the dynamics of a system in various fields of engineering. However, due to the intricacy of biological systems, these methods were rarely utilized in bioengineering until recently. By developing advanced computers with the ability to cope with enormous calculations and extending our knowledge about biological systems, modeling-based approaches have been adopted to manipulate biological systems. While utilizing the models to investigate the behavior of a system has some advantages including lower cost and time consumption, such methods were used for tissue engineering scarcely. Exploiting modeling-based methods to tissue engineering field requires developing and utilizing efficient computational methods to model gene regulation and signaling networks, which determine cell response to environmental changes and cellular fate.In the present work, a novel spatio-temporal method was proposed, predicated on locally uniform mesh refinement. A benchmark comparison was performed with the previously used method and the results indicated the better performance of the incipiently adopted method. Besides, the model was utilized to investigate the effect of a popular differentiating stimulator, namely electrical stimulation, on mesenchymal stem cells as a type of stem cells widely used in tissue engineering. The results of the simulations demonstrated the puissance of such computational models in analyzing and predicting the effect of biochemical and biophysical perturbations on the cells and hence, their potential utility in tissue engineering.

Highly parallel processors in military systems

1988 ◽  
Vol 135 (4) ◽  
pp. 202
Author(s):  
J.B.G. Roberts ◽  
B.C. Merrifield ◽  
P. Simpson ◽  
J.S. Ward
Keyword(s):  
Parallel Processors ◽  
Military Systems
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