The development of computational fluid dynamics (CFD) can be traced back as far as the early 1900’s. The pioneering efforts by Richardson , Courant, Friedrichs, and Lewy , Southwell , Von Neumann , Lax , as well as Godunov  address the fundamental issues in numerical analyses for CFD. It is immediately clear that a major portion of these efforts was focused on one of the most difficult problems in resolving the discontinuous fluid phenomena in a discretized space — the Riemann problem . As it will be seen later, it remains the most studied problem in CFD. However, if one is interested in the viscous flow simulation, Thom  probably obtained the first-ever numerical solution by solving the partial differential equation for a low speed flow past a circular cylinder. For a scholarly description of the CFD historical perspective, the books by Roach  and Tannehill, Anderson, and Pletcher  are highly recommended.
A Glance Back and Outlook of Computational Fluid Dynamics (Keynote Paper)
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Shang, JS. "A Glance Back and Outlook of Computational Fluid Dynamics (Keynote Paper)." Proceedings of the ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. Volume 2: Symposia, Parts A, B, and C. Honolulu, Hawaii, USA. July 6–10, 2003. pp. 965-976. ASME. https://doi.org/10.1115/FEDSM2003-45420
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