Peddinti Raghavendra DheerajPisoni, StefanoStefanoPisoniMarini, AlessandroAlessandroMariniLott, PhilippePhilippeLottArgentieri, HenriqueHenriqueArgentieriTiunov, EgorEgorTiunovAolita, LeandroLeandroAolita2025-08-152025-08-152024-04-27Communications physics 7: 135 (2024)https://hdl.handle.net/11420/56705Abstract Computational fluid dynamics is both a thriving research field and a key tool for advanced industry applications. However, the simulation of turbulent flows in complex geometries is a compute-power intensive task due to the vast vector dimensions required by discretized meshes. We present a complete and self-consistent full-stack method to solve incompressible fluids with memory and run time scaling logarithmically in the mesh size. Our framework is based on matrix-product states, a compressed representation of quantum states. It is complete in that it solves for flows around immersed objects of arbitrary geometries, with non-trivial boundary conditions, and self-consistent in that it can retrieve the solution directly from the compressed encoding, i.e. without passing through the expensive dense-vector representation. This framework lays the foundation for a generation of more efficient solvers of real-life fluid problems.en2399-36502024Nature Publishing Group UKhttps://creativecommons.org/licenses/by/4.0/Natural Sciences and Mathematics::530: Physics::530.4: States of Matter::530.42: Fluid PhysicsNatural Sciences and Mathematics::539: Matter; Molecular Physics; Atomic and Nuclear physics; Radiation; Quantum PhysicsJournal Article2025-07-30https://doi.org/10.15480/882.1559110.1038/s42005-024-01623-810.15480/882.15591Journal Article