A subset of the WP Core Benchmark CFD Set: Deliverable 1.1. in relation to the European Union's Horizon Europe research and innovation program (HORIZON-CL4-2021-DIGITAL-EMERGING-02-10) under grant agreement No. 101080085 QCFD (https://doi.org/10.3030/101080085).  The data refers to a variational quantum algorithm solving 2D elliptic and parabolic equations. The examples include Poisson’s equation with checkerboard/Dirac delta as source term, discretized by finite difference and with Dirichlet  boundary conditions. We extended to the parabolic case, by solving the heat equation in 2D with time-step dt=0.1 from t=0.0 to t=0.9. The results are complemented by classical finite difference results, which have been taken for comparison in the document.

The current work have received funding from the European Union's Horizon Europe research and innovation program (HORIZON-CL4-2021-DIGITAL-EMERGING-02-10) under grant agreement No. 101080085 QCFD.