Complete quantum-inspired framework for computational fluid dynamics
- URL: http://arxiv.org/abs/2308.12972v2
- Date: Fri, 22 Sep 2023 13:11:06 GMT
- Title: Complete quantum-inspired framework for computational fluid dynamics
- Authors: Raghavendra D. Peddinti, Stefano Pisoni, Alessandro Marini, Philippe
Lott, Henrique Argentieri, Egor Tiunov and Leandro Aolita
- Abstract summary: We present a full-stack method to solve for incompressible fluids with memory and runtime scaling poly-logarithmically in the mesh size.
Our framework is based on matrix-product states, a powerful compressed representation of quantum states.
- Score: 36.136619420474766
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Computational fluid dynamics is both a thriving research field and a key tool
for advanced industry applications. The central challenge is to simulate
turbulent flows in complex geometries, a compute-power intensive task due to
the large vector dimensions required by discretized meshes. We present a
full-stack method to solve for incompressible fluids with memory and runtime
scaling poly-logarithmically in the mesh size. Our framework is based on
matrix-product states, a powerful 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 ever passing through the expensive dense-vector representation. This
machinery lays the foundations for a new generation of potentially radically
more efficient solvers of real-life fluid problems.
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