Congratulations from LSTM - Erlangen

Size: px

Start display at page:

Download "Congratulations from LSTM - Erlangen"

Cornelius Wright
6 years ago
Views:

1 1 Congratulations from LSTM - Erlangen

2 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 Erlangen, FRG 2 Title of Presentation

3 Galileo Galilei Evangelista Torricelli Blaise Pascal Archimedes ( 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 ( n. Chr.) Wiliam Froude Gotthilf Heinrich Ludwig Hagen Jean Louis Poiseuille Henri Philibert Gaspard Darcy Developement of Basic Equations Julius Weißbach 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 ( n. Chr.) Paul Richard Heinrich Blasius Geoffrey Ingram Taylor Richard Becker Georg Friedrich Bernhard Riemann Sydney Chapman Development of Experimental

4 Galileo Galilei Evangelista Torricelli Blaise Pascal Archimedes ( 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 ( 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 ( n. Chr.) Entwicklung experimenteller und numerischer Methoden Historical Development, 2

5 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 6 Fluid Flows Behind Steps

Adaptivity for Complicated Geometries arbitrary refinements (no patches) automatic boundary detection Adaptivity + Full Multigrid fourth order solution for the

7 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 8 Hierarchic Basis and Sparse Grids

9 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

10 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

11 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

12 To start the video, click on the picture! 12 Numerical simulation of transition and breakdown to turbulence of complex flows

13 13 Problem Solutions by Relaxation

14 14 Combination of Science and Music

15 15 Sarntal Atmosphere and Inspiration

16 16 Admiration

17 Prof. ZENGER 17 Great Admiration

18 18 Super Admiration

19 19 Prof. Zenger and Successor

20 20 Sarntal-Summer Academy

21 21 Mountain Tour with Students

22 22 Directions and Future Commitments

9/17/2014. Fluid Mechanics (I) Introduction. Hamid-Reza Kariminia Fall, Idle vs. Moving Car. Any change in smoke distribution?

9/17/2014. Fluid Mechanics (I) Introduction. Hamid-Reza Kariminia Fall, Idle vs. Moving Car. Any change in smoke distribution? Fluid Mechanics (I) Introduction Hamid-Reza Kariminia Fall, 2014 Idle vs. Moving Car Any change in smoke distribution? 1 Smoke from Chimneys What is the cause of the movement? Describe the movement at