scholarly journals Towards a 3-Dimensional Phase-Field Model of Non-Isothermal Alloy Solidification

2014 ◽  
Vol 783-786 ◽  
pp. 2166-2171 ◽  
Author(s):  
Andrew M. Mullis ◽  
Peter C. Bollada ◽  
Peter K. Jimack
Keyword(s):  
Phase Field ◽  
Adaptive Mesh Refinement ◽  
Phase Field Model ◽  
Lewis Number ◽  
Adaptive Mesh ◽  
Implicit Time ◽  
Dimensional Problem ◽  
Alloy Solidification ◽  
Field Problem ◽  
3 Dimensional

We review the application of advanced numerical techniques such as adaptive mesh refinement, implicit time-stepping, multigrid solvers and massively parallel implementations as a route to obtaining solutions to the 3-dimensional phase field problem for coupled heat and solute transport during non-isothermal alloy solidification. Using such techniques it is shown that such models are tractable for modest values of the Lewis number (ratio of thermal to solutal diffusivities). Solutions to the 3-dimensional problem are compared with existing solutions to the equivalent 2-dimensional problem.

An Adaptive Finite Element Multi-Mesh Approach for Interacting Deformable Objects in Flow

2016 ◽  
Vol 16 (3) ◽  
pp. 475-484 ◽  
Author(s):  
Siqi Ling ◽  
Wieland Marth ◽  
Simon Praetorius ◽  
Axel Voigt
Keyword(s):  
Phase Field ◽  
Adaptive Mesh Refinement ◽  
Adaptive Mesh ◽  
Numerical Approach ◽  
General Concept ◽  
Field Variable ◽  
Deformable Objects ◽  
Adaptive Finite Element ◽  
Field Problem ◽  
Multi Phase

AbstractWe consider a hydrodynamic multi-phase field problem to model the interaction of deformable objects. The numerical approach considers one phase field variable for each object and allows for an independent adaptive mesh refinement for each variable. Using the special structure of various terms allows interpolating the solution on one mesh onto another without loss of information. Together with a general multi-mesh concept for the other terms speedup by a factor of two can be demonstrated which improves with the number of interacting objects. The general concept is demonstrated on an example describing the interaction of red blood cells in an idealized vessel.

scholarly journals A diffuse interface method for solid-phase modeling of regression behavior in solid composite propellants

2021 ◽  
Author(s):  
Baburaj Kanagarajan ◽  
J. Matt Quinlan ◽  
Brandon Runnels
Keyword(s):  
Phase Field ◽  
Adaptive Mesh Refinement ◽  
Solid Phase ◽  
Morphological Changes ◽  
Adaptive Mesh ◽  
Quantitative Agreement ◽  
Design Tool ◽  
Diffuse Interface ◽  
Solid Composite Propellants ◽  
Structured Adaptive Mesh Refinement

Solid composite propellants (SCPs) are ubiquitous in the field of propulsion. In order to design and control solid SCP rocket motors, it is critical to understand and accurately predict SCP regression. Regression of the burn surface is a complex process resulting from thermo-chemical-mechanical interactions, often exhibitingextreme morphological changes and topological transitions. Diffuse interface methods, such as phase field (PF), are well-suited for modeling processes of this type, and offer some distinct numerical advantages over their sharp-interface counterparts. In this work, we present a phase-field framework for modelingthe regression of SCPs with varying species and geometry. We construct the model from a thermodynamic perspective, leaving the base formulation general. A diffuse-species-interface field is employed as a mechanism for capturing complex burn chemistry in a reduced-order fashion, making it possible to model regressionfrom the solid phase only. The computational implementation, which uses block-structured adaptive mesh refinement and temporal substepping for increased performance, is briefly discussed. The model is then applied to four test cases: (i) pure AP monopropellant, (ii) AP/PBAN sandwich, (iii) AP/HTPB sandwich,and (iv) spherical AP particles packed in HTPB matrix. In all cases, reasonable quantitative agreement is observed, even when the model is applied predictively (i.e., no parameter adjustment), as in the case of (iv). The validation of the proposed PF model demonstrates its efficacy as a numerical design tool for future SCP investigation.

scholarly journals Parallel-GPU-accelerated adaptive mesh refinement for three-dimensional phase-field simulation of dendritic growth during solidification of binary alloy

2022 ◽  
Vol 6 (1) ◽  
Author(s):  
Shinji Sakane ◽  
Tomohiro Takaki ◽  
Takayuki Aoki
Keyword(s):  
Parallel Computing ◽  
Phase Field ◽  
Adaptive Mesh Refinement ◽  
Computational Cost ◽  
Three Dimensional ◽  
Adaptive Mesh ◽  
Dendrite Growth ◽  
Dynamic Load Balancing ◽  
Phase Field Simulation ◽  
Field Simulation

AbstractIn the phase-field simulation of dendrite growth during the solidification of an alloy, the computational cost becomes extremely high when the diffusion length is significantly larger than the curvature radius of a dendrite tip. In such cases, the adaptive mesh refinement (AMR) method is effective for improving the computational performance. In this study, we perform a three-dimensional dendrite growth phase-field simulation in which AMR is implemented via parallel computing using multiple graphics processing units (GPUs), which provide high parallel computation performance. In the parallel GPU computation, we apply dynamic load balancing to parallel computing to equalize the computational cost per GPU. The accuracy of an AMR refinement condition is confirmed through the single-GPU computations of columnar dendrite growth during the directional solidification of a binary alloy. Next, we evaluate the efficiency of dynamic load balancing by performing multiple-GPU parallel computations for three different directional solidification simulations using a moving frame algorithm. Finally, weak scaling tests are performed to confirm the parallel efficiency of the developed code.

scholarly journals A Phase Field Model for Binary Alloy Solidification with Boundary Interface Intersection

2016 ◽  
Vol 8 ◽  
pp. 9-18
Author(s):  
Jie Liao
Keyword(s):  
Binary Alloy ◽  
Phase Field ◽  
Field Model ◽  
Contact Region ◽  
Contact Point ◽  
Boundary Surface ◽  
Phase Field Model ◽  
Diffuse Interface ◽  
Interface Problem ◽  
Alloy Solidification

A phase field model for binary alloy solidification with boundary interface intersection is developed. In the phase field model, the heat and solute conservation equations are appropriately modified to account for the presence of heat and solute rejection inside the diffuse interface, and a relaxation boundary condition for the phase field variable is introduced to balance the interface energy and boundary surface energy in the multiphase contact region. The thin interface asymptotic analysis is applied on the phase field model to yield the free interface problem with dynamic contact point condition.

scholarly journals Modelling binary alloy solidification with adaptive mesh refinement

2020 ◽  
Vol 5 ◽  
pp. 100043
Author(s):  
James R.G. Parkinson ◽  
Daniel F. Martin ◽  
Andrew J. Wells ◽  
Richard F. Katz
Keyword(s):  
Binary Alloy ◽  
Adaptive Mesh Refinement ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Alloy Solidification
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