Applications

BCC / phase-field crystal

Tungsten

Crystalline order, growing grains, and the interfaces between them.

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FCC / phase-field crystal

Aluminum

Solidification through a density field with FCC order.

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Spectral / phase-field crystal

Higher-order crystal

Competing length scales in a periodic density field.

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Conserved / phase field

Cahn–Hilliard

Phase separation and coarsening of a binary mixture.

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Nonconserved / phase field

Allen–Cahn

Interface motion driven by curvature and free energy.

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Diffusion / spectral & FD

Heat

Temperature relaxation on structured grids.

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Hyperbolic / finite difference

Acoustic wave

Wave propagation and reflection at physical boundaries.

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Growth / phase field

Alloy dendrite

Crystal arms selected by interfacial anisotropy.

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Growth / phase field

Kobayashi

Anisotropic solidification in two dimensions.

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Conserved / hydrodynamic model

Thin film

Rupture and redistribution of a thin liquid layer.

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Conserved / interface motion

Surface diffusion

Shape relaxation under isotropic or anisotropic surface energy.

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Coupled / thin film

Electrohydrodynamic film

Fluid layers shaped by electrical and mechanical loading.

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Vorticity isosurfaces of a Taylor-Green vortex at Reynolds number 1600.

Navier–Stokes / spectral

Incompressible flow

A periodic vortex, from a smooth start through the dissipation peak.

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Dispersive / spectral

Kawahara

Nonlinear waves with competing dispersive scales.

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Kinetic / phase space

Vlasov–Maxwell

Collisionless plasma dynamics and electromagnetic instability.

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Mechanics / spectral

Gradient elasticity

Length-dependent stress around an inclusion.

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Design / mechanics

Inverse homogenization

Microstructure design through effective material response.

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