Navier-Stokes

Quantum algorithms can speed up many significant, computationally challenging problems when run on a quantum computer. It is natural to ask whether a quantum computer might allow a speedup of fluid dynamic simulations.

This paper adopts a recently introduced quantum algorithm for partial differential equations to solve Burgers’ equation and develops a quantum CFD solver. We used our quantum CFD solver to verify the quantum Burgers’ equation algorithm to find the flow solution when a shockwave is and is not present. We found excellent agreements for both cases, and the error of the quantum CFD solver was comparable to that of the classical CFD solver.

The hover performance of a four-bladed Sikorsky S-76 rotor is studied using a high-order discontinuous Galerkin (DG) off-body discretization.