Computation Of Three Dimensional Time Dependent Flow Using The Euler Equations

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Computation of Three-Dimensional Complex Flows

Author: Michel Deville
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-04-17
The IMACS-COST conference on "Computational Fluid Dynamics, Three-Dimensional Complex Flows" was held in Lausanne, Switzerland, September 13 - 15, 1995. The scien tific sponsors of the conference were • IMACS: International Association for Mathematics and Computers in Simulation, • COST: European Cooperation in the field of Scientific and Technical Research, • ERCOFTAC: European Research Community on Flow, Turbulence and Combus tion. The scientific interests of the IMACS and ERCOFTAC associations are closely related to computational fluid dynamics whereas the European Union programme COST covers a wider range of scientific subjects. The COST' Action F1' launched in 1992 by Professor I. L. Ryhming deals with "Complex three-dimensional viscous flows: prediction, modelling, manipulation and control". It has several subtopics among which numerical methods and modelling issues are the main areas of research and development. The meeting gathered together eighty-seven scientists, engineers and researchers from sev enteen countries: Belgium, Finland, France, Germany, Greece, Hong Kong, Israel, Italy, Japan, the Netherlands, Norway, Russia, Spain, Sweden, Switzerland, United Kingdom, United States of America. All major numerical approximation methods were discussed: finite differences, finite volumes, finite elements, spectral methods. The topics covered by the sixty communications spanned the full spectrum of computational fluid dynam ics: direct numerical simulation, large-eddy simulation, turbulence modelling, free surface flows, non Newtonian fluids, thermal convection, etc.
Computation of Three-Dimensional Time-Dependent Flow Using the Euler Equations

The development of a computer program to solve the three-dimensional, unsteady Euler equations is described. A finite volume method in Cartesian coordinates is used with the MacCormack predictor-corrector algorithm. The grid imposed on the computational domain is topologically equivalent to a regular grid on a cube. The resulting control volumes are hexahedrones with quadrilateral faces. Solutions are presented to show the accuracy of the computer program and to demonstrate the degree of flexibility with respect to complex model geometry. (Author).
Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications

Author: Josef Ballmann
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-03-08
On the occasion of the International Conference on Nonlinear Hyperbolic Problems held in St. Etienne, France, 1986 it was decided to start a two years cycle of conferences on this very rapidly expanding branch of mathematics and it·s applications in Continuum Mechanics and Aerodynamics. The second conference toolc place in Aachen, FRG, March 14-18, 1988. The number of more than 200 participants from more than 20 countries all over the world and about 100 invited and contributed papers, well balanced between theory, numerical analysis and applications, do not leave any doubt that it was the right decision to start this cycle of conferences, of which the third will be organized in Sweden in 1990. ThiS volume contains sixty eight original papers presented at the conference, twenty two cif them dealing with the mathematical theory, e.g. existence, uniqueness, stability, behaviour of solutions, physical modelling by evolution equations. Twenty two articles in numerical analysis are concerned with stability and convergence to the physically relevant solutions such as schemes especially deviced for treating shoclcs, contact discontinuities and artificial boundaries. Twenty four papers contain multidimensional computational applications to nonlinear waves in solids, flow through porous media and compressible fluid flow including shoclcs, real gas effects, multiphase phenomena, chemical reactions etc. The editors and organizers of the Second International Conference on Hyperbolic Problems would lilce to thanlc the Scientific Committee for the generous support of recommending invited lectures and selecting the contributed papers of the conference.