A Potential Application for Utilizing Adaptive Mesh Refinement in a Continuous Caster Simulation

2021 ◽  
Author(s):  
H. Ma ◽  
M. Moore ◽  
J. Resa ◽  
A. Silaen ◽  
C. Zhou ◽  
...  
Keyword(s):  
Potential Application ◽  
Adaptive Mesh Refinement ◽  
Continuous Caster ◽  
Mesh Refinement ◽  
Adaptive Mesh

Adaptive Mesh Refinement of the Solidification Front in Continuous Caster Simulations

2019 ◽  
Author(s):  
Xiang Zhou ◽  
Matthew T. Moore ◽  
Haibo Ma ◽  
Armin K. Silaen ◽  
Chenn Q. Zhou
Keyword(s):  
Solidification Front ◽  
Adaptive Mesh Refinement ◽  
Numerical Models ◽  
Continuous Caster ◽  
Mesh Refinement ◽  
Measurement Data ◽  
Adaptive Mesh ◽  
Casting Process ◽  
Intrinsic Nature ◽  
Cell Counts

Abstract A better understanding of the complex phenomena that occur along the solidification front in a continuous casting process is a fundamental necessity for reliably evaluating whether specific casting conditions inherently influence defect generation rates. Due to the intrinsic nature of the casting process, engineers are restricted in their ability to obtain accurate measurements of the shell development during casting operations. Through the end of the 20th century and up to the present, significant progress has been made in overcoming these limitations through the development of numerical models capable of accurately replicating the behavior of targeted phenomena that occur during the casting process. Continual revisions to these models have produced notable results; however, these approaches have primarily implemented predefined mesh representations of a system for simulation. The mesh utilized in any numerical simulation directly influences the results the model can generate. Developing an appropriate mesh capable of replicating the complex behavior of a system can require significant consideration of various factors involved in the construction of the mesh, the physics of the process being modeled, along with the solvers utilized in evaluating the system. Inadequate mesh construction may yield insufficient refinement for capturing desired aspects of a system or generating large areas of unneeded refinement. This article discusses characteristic behaviors and limitations of a select grouping of meshing algorithms currently available, as well as potential methods for avoiding mesh-driven solutions when simulating the solidification process in a continuous caster. Particular emphasis is placed on incorporating adaptive mesh refinement to lessen the potential for mesh-driven solutions and to reduce unnecessarily high cell-counts of the mesh through the restructuring of the mesh in accordance with the active simulation results. A numerical model was developed using the Simcenter™ STAR-CCM+™ software, and using Eulerian multiphase VOF melting and solidification models for steady-state simulations. Casting conditions and measurement data (provided by an industrial collaborator) were employed in defining boundary conditions, as well as for the model validation. The predicted shell profiles demonstrated good agreement with shell-thickness measurements obtained from the quarter-mold location of a recovered break-out shell segment.

Dynamic structural analysis of connecting rod through adaptive mesh refinement for different materials

2018 ◽  
Vol 50 (04) ◽  
pp. 561-570
Author(s):  
I. A. QAZI ◽  
A. F. ABBASI ◽  
M. S. JAMALI ◽  
INTIZAR INTIZAR ◽  
A. TUNIO ◽  
...  
Keyword(s):  
Structural Analysis ◽  
Adaptive Mesh Refinement ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Connecting Rod ◽  
Dynamic Structural Analysis

scholarly journals Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver

2021 ◽  
Author(s):  
Alexander Haberl ◽  
Dirk Praetorius ◽  
Stefan Schimanko ◽  
Martin Vohralík
Keyword(s):  
Adaptive Algorithm ◽  
Adaptive Mesh Refinement ◽  
Elliptic Boundary ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Picard Iteration ◽  
Optimal Rate ◽  
Stopping Criteria ◽  
Element Discretization ◽  
Fully Adaptive

AbstractWe consider a second-order elliptic boundary value problem with strongly monotone and Lipschitz-continuous nonlinearity. We design and study its adaptive numerical approximation interconnecting a finite element discretization, the Banach–Picard linearization, and a contractive linear algebraic solver. In particular, we identify stopping criteria for the algebraic solver that on the one hand do not request an overly tight tolerance but on the other hand are sufficient for the inexact (perturbed) Banach–Picard linearization to remain contractive. Similarly, we identify suitable stopping criteria for the Banach–Picard iteration that leave an amount of linearization error that is not harmful for the residual a posteriori error estimate to steer reliably the adaptive mesh-refinement. For the resulting algorithm, we prove a contraction of the (doubly) inexact iterates after some amount of steps of mesh-refinement/linearization/algebraic solver, leading to its linear convergence. Moreover, for usual mesh-refinement rules, we also prove that the overall error decays at the optimal rate with respect to the number of elements (degrees of freedom) added with respect to the initial mesh. Finally, we prove that our fully adaptive algorithm drives the overall error down with the same optimal rate also with respect to the overall algorithmic cost expressed as the cumulated sum of the number of mesh elements over all mesh-refinement, linearization, and algebraic solver steps. Numerical experiments support these theoretical findings and illustrate the optimal overall algorithmic cost of the fully adaptive algorithm on several test cases.

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.

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