1 Congratulations from LSTM - Erlangen
Die Ära Zenger geht zu Ende Ein kurzer Rückblick aus der Sicht der Strömungsmechanik by Prof. Dr. Dr. h.c. F. Durst Institute of Fluid Mechanics University of Erlangen-Nürnberg Cauerstr. 4, D-91058 Erlangen, FRG 2 Title of Presentation
Galileo Galilei Evangelista Torricelli Blaise Pascal Archimedes (287-212 v. Chr.) Isaac Newton Henri de Pitot Daniel Bernoulli Leonhard Euler Jean le Rond d'alembert Antoine Chezy Joseph de Lagrange Giovanni Battista Venturi Sextus Julius Frontius (40-103 n. Chr.) Wiliam Froude Gotthilf Heinrich Ludwig Hagen Jean Louis Poiseuille Henri Philibert Gaspard Darcy Developement of Basic Equations Julius Weißbach 1600 1700 1800 1900 2000 2100 3 Historical Development, 1 Robert Manning Andrei Nikolaevich Kolmogorov Georg Gabriel Stokes Herrmann Schlichting Ernst Mach Ludwig Boltzmann Osborne Reynolds John William Strutt Lord Rayleigh Vincenz Strouhal Pei-Yuan Chou Klaus Oswatitsch Nikolay Egorovich Zhukovsky Wilhelm Martin Kutta Pierre-Simon Laplace Edgar Buckingham and Numerical Methods Louis Marie Henri Navier Moritz Weber Application of Experimental Augustin Louis de Chauchy Ludwig Prandtl and Numerical Methods Adhemar J.C. Barre de Saint-Venant Louis Ferry Moody Theodor von Karman Leonardo da Vinci (1452-1519 n. Chr.) Paul Richard Heinrich Blasius Geoffrey Ingram Taylor Richard Becker Georg Friedrich Bernhard Riemann Sydney Chapman Development of Experimental
Galileo Galilei Evangelista Torricelli Blaise Pascal Archimedes (287-212 v. Chr.) Isaac Newton Henri de Pitot Daniel Bernoulli Leonhard Euler Jean le Rond d'alembert Antoine Chezy Joseph de Lagrange Giovanni Battista Venturi Pierre-Simon Laplace Sextus Julius Frontius (40-103 n. Chr.) Wiliam Froude Robert Manning Andrei Nikolaevich Kolmogorov Georg Gabriel Stokes Herrmann Schlichting Gotthilf Heinrich Ludwig Hagen Theodor von Karman Jean Louis Poiseuille Ernst Mach Ludwig Boltzmann Osborne Reynolds John William Strutt Lord Rayleigh Vincenz Strouhal Pei-Yuan Chou Klaus Oswatitsch Nikolay Egorovich Zhukovsky Wilhelm Martin Kutta Edgar Buckingham Louis Marie Henri Navier Moritz Weber Anwendung experimenteller Augustin Louis de Chauchy Ludwig Prandtl und numerischer Methoden Adhemar J.C. Barre de Saint-Venant Louis Ferry Moody Paul Richard Heinrich Blasius Henri Philibert Gaspard Darcy Geoffrey Ingram Taylor Entwicklung der Grundgleichung Julius Weißbach Richard Becker der Strömungsmechanik Georg Friedrich Bernhard Riemann Sydney Chapman Leonardo da Vinci (1452-1519 n. Chr.) Entwicklung experimenteller und numerischer Methoden 1600 1700 1800 1900 2000 2100 4 Historical Development, 2
Everything started with corners: Singularities with effects on fluid flows Investigations of numerical solution procedures for resulted in local influences of corner singularities. Prof. Zenger and one of his students suggested to modify the numerical grid around the corners to yield a very local influence of the corner singularities on fluid flows. He pointed out that numerical investigations do not prevent you from thinking. Problems you solve and to take into account that in numerical solutions mathematics and fluid mechanics are strongly coupled. 5 Flows in Front and Behind Steps
6 Fluid Flows Behind Steps
Adaptivity for Complicated Geometries arbitrary refinements (no patches) automatic boundary detection Adaptivity + Full Multigrid fourth order solution for the actual grid Refinement (hierarchical surplus, tau, dual approach) additive v-cycles with tau-extrapolation Good grids cover only the essentials 7 Adaptivity and Multi Grid
8 Hierarchic Basis and Sparse Grids
9 Adaptive Sparse Grids
adaptive grids multigrid tree structures data-locality in space and time optimum: linear processing of data ordering of cells along the Peano-curve line-stacks with alternating linear (locally deterministic) processing order adaptive grids, generating system hiding of points on different levels additional colours, point stacks 8 stacks (independent of refinement depth) 10 Space-Trees and Space-Filling Curves
process 1 process 2 adaptivity complicated geometries efficient parallelization space tree, Peano-curve, stacks cacheefficiency Navier-Stokes financial pricing fluid-structure interactions diffusion equation with non-constant coefficients multigrid higher order enhanced boundary treatment 11 Parallelisation- Partitioning Using Piano Curves
To start the video, click on the picture! 12 Numerical simulation of transition and breakdown to turbulence of complex flows
13 Problem Solutions by Relaxation
14 Combination of Science and Music
15 Sarntal Atmosphere and Inspiration
16 Admiration
Prof. ZENGER 17 Great Admiration
18 Super Admiration
19 Prof. Zenger and Successor
20 Sarntal-Summer Academy
21 Mountain Tour with Students
22 Directions and Future Commitments