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Layer Potential Methods for Doubly-Periodic Harmonic Functions

math.NA · 2025-05-05 · unverdicted · novelty 7.0

Develops and analyzes single- and double-layer potential operators for doubly-periodic harmonic functions on finitely-connected tori, proves compactness and boundary limits, constructs the null space for multiply-connected cases, and demonstrates spectral convergence for Dirichlet, Neumann, and Stek

Sharp-interface VOF method for phase-change simulations on unstructured meshes

physics.comp-ph · 2026-04-16 · unverdicted · novelty 6.0

A sharp-interface VOF method for phase-change simulations on unstructured meshes computes evaporation rates from local temperature gradients at geometrically reconstructed interfaces and validates against analytical solutions on Stefan, Sucking, and Scriven problems.

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