Quantum Computational Fluid Dynamics - WP Core Benchmark CFD Set: Deliverable 1.1. --- 2D Steady/Unsteady Heat Conduction

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.