Applications
OpenPFC / Applications
Equations become
physical stories.
From crystalline order to flowing matter. Explore the models, the methods, and the evidence.

BCC / phase-field crystal
Tungsten
Crystalline order, growing grains, and the interfaces between them.
Read the article ↗
FCC / phase-field crystal
Aluminum
Solidification through a density field with FCC order.
Read the run guide ↗
Spectral / phase-field crystal
Higher-order crystal
Competing length scales in a periodic density field.
Read the run guide ↗
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.
Read the run guide ↗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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Navier–Stokes / spectral
Incompressible flow
A periodic vortex, from a smooth start through the dissipation peak.
Read the article ↗
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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