Scalable Structured Adaptive Mesh Refinement with Complex Geometry

2017 ◽  
pp. 307-318
Author(s):  
Brian Van Straalen ◽  
David Trebotich ◽  
Andrey Ovsyannikov ◽  
Daniel T. Graves
Keyword(s):  
Adaptive Mesh Refinement ◽  
Complex Geometry ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Structured Adaptive Mesh Refinement

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.

3-Dimensional Hybrid Continuum-Atomistic Simulations for Multiscale Hydrodynamics

2003 ◽  
Author(s):  
H. S. Wijesinghe ◽  
R. Hornung ◽  
A. L. Garcia ◽  
N. G. Hadjiconstantinou
Keyword(s):  
Adaptive Mesh Refinement ◽  
Hybrid Methods ◽  
Lawrence Livermore National Laboratory ◽  
National Laboratory ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Scale Model ◽  
Structured Adaptive Mesh Refinement ◽  
Flow Gradients ◽  
The Continuum

We present an adaptive mesh and algorithmic refinement (AMAR) scheme for modeling multi-scale hydrodynamics. The AMAR approach extends standard conservative adaptive mesh refinement (AMR) algorithms by providing a robust flux-based method for coupling an atomistic fluid representation to a continuum model. The atomistic model is applied locally in regions where the continuum description is invalid or inaccurate, such as near strong flow gradients and at fluid interfaces, or when the continuum grid is refined to the molecular scale. The need for such “hybrid” methods arises from the fact that hydrodynamics modeled by continuum representations are often under-resolved or inaccurate while solutions generated using molecular resolution globally are not feasible. In the implementation described herein, Direct Simulation Monte Carlo (DSMC) provides an atomistic description of the flow and the compressible two-fluid Euler equations serve as our continuum-scale model. The AMR methodology provides local grid refinement while the algorithm refinement feature allows the transition to DSMC where needed. The continuum and atomistic representations are coupled by matching fluxes at the continuum-atomistic interfaces and by proper averaging and interpolation of data between scales. Our AMAR application code is implemented in C++ and is built upon the SAMRAI (Structured Adaptive Mesh Refinement Application Infrastructure) framework developed at Lawrence Livermore National Laboratory. SAMRAI provides the parallel adaptive gridding algorithm and enables the coupling between the continuum and atomistic methods.

scholarly journals A survey of high level frameworks in block-structured adaptive mesh refinement packages

2014 ◽  
Vol 74 (12) ◽  
pp. 3217-3227 ◽  
Author(s):  
Anshu Dubey ◽  
Ann Almgren ◽  
John Bell ◽  
Martin Berzins ◽  
Steve Brandt ◽  
...  
Keyword(s):  
Adaptive Mesh Refinement ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Structured Adaptive Mesh Refinement ◽  
High Level ◽  
Block Structured
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