A tensor-network solver for compressible flows is proposed with polylog scaling claims, but the 2D implementation does not converge and only the 1D Sod shock tube case matches the reference solution.
Technical report on a quantum-inspired solver for simulating compressible flows
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This document presents a quantum-inspired solver for 2D Euler equations, accepted at the final phase of the Airbus-BWM Group Quantum Computing Challenge (ABQCC) 2024. We tackle the case study of Quantum Solvers for Predictive Aeroacoustic and Aerodynamic modeling tasks. We propose a tensor network based solver that scales polylogarithmically with the mesh size, in both runtime and memory. This provides a promising avenue for tackling the curse of dimensionality that plagues the direct numerical simulations in the field of computational fluid dynamics.
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Technical report on a quantum-inspired solver for simulating compressible flows
A tensor-network solver for compressible flows is proposed with polylog scaling claims, but the 2D implementation does not converge and only the 1D Sod shock tube case matches the reference solution.