An implicit exact solution for Burgers' equation on bounded domains is obtained via Hopf-Cole linearization followed by inverse Laplace transforms.
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GPU-PF and PRISMS-PF phase-field codes produce consistent predictions for dendritic morphology, primary spacing, and tip dynamics in 2D and 3D simulations of alloy solidification at experimentally relevant scales.
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Exact solution to a class of problems for the Burgers' equation on bounded intervals
An implicit exact solution for Burgers' equation on bounded domains is obtained via Hopf-Cole linearization followed by inverse Laplace transforms.
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Benchmarking of Massively Parallel Phase-Field Codes for Directional Solidification
GPU-PF and PRISMS-PF phase-field codes produce consistent predictions for dendritic morphology, primary spacing, and tip dynamics in 2D and 3D simulations of alloy solidification at experimentally relevant scales.