I: The NNFM Series and its Origins.- The NNFM Series.- The Origin of the Series in the GAMM-Committee for Numerical Methods in Fluid Mechanics.- The Environment of the Series in the Initial Phase.- German and EU High-Performance Computation Centers.- II: Co-Editors Forum: Selected Worldwide Developments.- General Developments of Numerical Fluid Mechanics Until the Middle of the 20th Century.- Golden Age of French CFD in the 1970-80s: Aerodynamics with Finite Elements and the European Multi-Physics HERMES Program.- Code Development in the German Aerospace Industry up to the Mid 1990s.- Discontinuities in Compressible Flows: Italian Contributions.- Flashback: 30 Years Numerical Fluid Mechanics and Aerodynamics in Japan, other Asian Countries and the Western Pacific Rim.- Computational Fluid Mechanics in Russia.- CFD Developments in the Northern European Countries.- Some Developments in Computational Aerodynamics in the UK.- The Development of Numerical Fluid Mechanics and Aerodynamics since the 1960s: US and Canada.- III: Current Applications of Numerical Methods in Fluid Mechanics/Aerodynamics.- European Numerical Aerodynamics Simulation Systems.- Numerical Aerodynamics in Transport Aircraft Design.- Numerical Aerothermodynamic Design in the European Space Industry.- The Second International Vortex Flow Experiment (VFE-2): Status 2007.- Large-Eddy Simulations of Flow Problems of Aeronautical Industry.- Issues of Multidisciplinary Design.- Evolutionary Optimisation Methods with Uncertainty for Modern Multidisciplinary Design in Aeronautical Engineering.- CFD Application in Automotive Industry.- IV: Applications to Flow Problems in Engineering and Physics.- Performance Upgrading of Hydraulic Machinery with the Help of CFD.- Calculating Blast Loads for Civil Engineering Structures.- Numerical Modelling of Technical Combustion.- Kinetic Modeling and Simulation of Environmental and Civil Engineering Flow Problems.- CFD in Process Engineering.- Computational Electromagnetics.- Computer Modelling of Magnetically Confined Plasmas.- Frontiers in Computational Geophysics: Simulations of Mantle Circulation, Plate Tectonics and Seismic Wave Propagation.- Solar System Plasmadynamics and Space Weather.- Numerical Fluid Dynamics in Astrophysics.- V: Algorithms, Computer Science and Computers.- Multigrid Software for Industrial Applications - From MG00 to SAMG.- Computer Science and Numerical Fluid Mechanics - An Essential Cooperation.- Commercial CFD in the Service of Industry: The First 25 Years.- High Performance Computing in Academia and Industry - An Example for a Private Public Partnership in HPC.- Computer Hardware Development as a Basis for Numerical Simulation.- Petaflops Computers and Beyond.