Isotropic finite-difference approximations for phase-field simulations of polycrystalline alloy solidification
Kaihua Ji,
Amirhossein Molavi Tabrizi,
Alain Karma
Abstract:Phase-field models of microstructural pattern formation during alloy solidification are commonly solved numerically using the finite-difference method, which is ideally suited to carry out computationally efficient simulations on massively parallel computer architectures such as Graphic Processing Units. However, one known drawback of this method is that the discretization of differential terms involving spatial derivatives introduces a spurious lattice anisotropy that can influence the solid-liquid interface … Show more
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