Quantum-inspired framework for computational fluid dynamics

Abstract 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.

DDC Class

530.42: Fluid Physics

539: Matter; Molecular Physics; Atomic and Nuclear physics; Radiation; Quantum Physics

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publishedVersion

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https://creativecommons.org/licenses/by/4.0/

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42005_2024_Article_1623.pdf

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Main Article

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1.37 MB

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Adobe PDF

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Quantum-inspired framework for computational fluid dynamics