cfd solver
simulating fluids with tensor networks
Still under construction. Thank you.
Paper: 1
References
2024
-
Quantum-inspired framework for computational fluid dynamicsRaghavendra Dheeraj Peddinti, Stefano Pisoni, Alessandro Marini, and 4 more authorsCommunications Physics, 2024Computational 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.
@article{peddinti2024quantum, title = {Quantum-inspired framework for computational fluid dynamics}, author = {Peddinti, Raghavendra Dheeraj and Pisoni, Stefano and Marini, Alessandro and Lott, Philippe and Argentieri, Henrique and Tiunov, Egor and Aolita, Leandro}, journal = {Communications Physics}, volume = {7}, number = {1}, pages = {135}, year = {2024}, publisher = {Nature Publishing Group UK London}, url = {http://dx.doi.org/10.1038/s42005-024-01623-8}, doi = {10.1038/s42005-024-01623-8}, }