2026-05-27T23:51:32Z https://www.fdr.uni-hamburg.de/oai2d

oai:fdr.uni-hamburg.de:18565 2026-04-16T14:41:01Z user-uhh user-qcfd

true 3.1 UHH.FDR 10.25592/uhhfdm.18565 Over, Paul 0000-0001-7436-5254 Institute for Fluid Dynamics and Ship Theory, Hamburg University of Technology, 21073 Hamburg, Germany Bengoechea, Sergio 0009-0001-8205-5878 Institute for Fluid Dynamics and Ship Theory, Hamburg University of Technology, 21073 Hamburg, Germany Rung, Thomas 0000-0002-3454-1804 Institute for Fluid Dynamics and Ship Theory, Hamburg University of Technology, 21073 Hamburg, Germany Universität Hamburg 2026 Quantum Computational Fluid Dynamics Computational Fluid Dynamics Deliverable Extended Set of Benchmark CFD Examples and Solutions Advection-diffusion problems 2026-04-14 en https://www.fdr.uni-hamburg.de/record/oai:fdr.uni-hamburg.de:18565 10.25592/uhhfdm.18564 v1 Creative Commons Attribution 4.0 International Open Access <p>A subset of the WP Extended Set of Benchmark CFD Examples and Solutions: Deliverable 2.1. in relation to the European Union&#39;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).&nbsp; The data refers to the advection-diffusion equation which describes the advection of a scalar quantity by an incompressible velocity field in a medium with diffusivity. For spatial discretization, first-order central and second-order central FD schemes are employed to transform the partial differential equation into a system of ordinary differential equations.&nbsp;Time integration is performed using an explicit time-marching scheme such as the forward Euler method.</p> 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.