Approximation Methods for Navier-Stokes Problems

Proceedings of the Symposium Held by the International Union of Theoretical and Applied Mechanics (IUTAM) at the University of Paderborn, Germany, September 9-15, 1979
Herausgegeben:Rautmann, R.

• Broschiertes Buch

Produktbeschreibung

Steady solutions of the Navier-Stokes equations representing plane flow in channels of various types.- On properties of steady viscous incompressible fluid flows.- Parameterization of subgrid-scale motion in numerical simulation of 2-dimensional Navier-Stokes equation at high Reynolds number.- CO+?-semigroups for flows past obstacles and for flows with capillary surfaces.- A finite element approximation of Navier-Stokes equations for incompressible viscous fluids. Iterative methods of solution.- The initial value problem for the Boussinesq equations with data in Lp.- A finite element method for the simulation of a Rayleigh-Taylor instability.- Spectral calculation of the stability of the circular Couette Flow.- Numerical solution of the complete Navier-Stokes equations for the simulation of unsteady flows.- A survey on the functional dynamical system generated by the Navier-Stokes equations.- Solution of the time-dependent incompressible Navier-Stokes and Boussinesq equations using the Galerkin finite element method.- Auxiliary flux and pressure conditions for Navier-Stokes problems.- Classical solutions of the Navier-Stokes equations.- Direct and repeated bifurcation into turbulence.- Approximation of the hydrodynamic equations by a transport process.- Some decay properties of solutions of the Navier-Stokes equations.- The implicit difference schemes for numerical solving the Navier-Stokes equations.- Finite-difference solutions of the Navier-Stokes equations for axially symmetric flows in spherical gaps.- Numerical investigation of unsteady viscous incompressible flow about bodies for varying conditions of their motion.- On the regularity of solutions of the nonstationary Navier-Stokes equations.- The asymptotic behaviour of solutions of the Navier-Stokes equations near sharp corners.- High resolution spectral calculations of inviscid compressible flows.- Analysis of Navier-Stokes type equations associated to mathematical models in fluid dynamics.- On the finite element approximation of the nonstationary Navier-Stokes problem.- On the convergence rate of nonstationary Navier-Stokes approximations.- Optimisation of Hermitian methods for Navier-Stokes equations in the vorticity and stream-function formulation.- Navier-stokes calculations with a coupled strongly implicit method Part II: Spline deferred-corrector solutions.- Strange attractors and characteristic exponents of turbulent flows.- Selection mechanisms in symmetry breaking phenomena.- High Reynolds-number flows.- Application of spectral methods to the solution of Navier-Stokes equations.- Regularity questions for the Navier-Stokes equations.- Numerical experiments with a multiple grid and a preconditioned Lanczos type method.- New solutions of the Karman problem for rotating flows.

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Produktdetails

• Lecture Notes in Mathematics 771
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-09734-1
• 1980.
• Seitenzahl: 604
• Erscheinungstermin: 1. Februar 1980
• Englisch
• Abmessung: 235mm x 155mm x 33mm
• Gewicht: 928g
• ISBN-13: 9783540097341
• ISBN-10: 3540097341
• Artikelnr.: 23573359

Inhaltsangabe

Steady solutions of the Navier-Stokes equations representing plane flow in channels of various types.- On properties of steady viscous incompressible fluid flows.- Parameterization of subgrid-scale motion in numerical simulation of 2-dimensional Navier-Stokes equation at high Reynolds number.- CO+?-semigroups for flows past obstacles and for flows with capillary surfaces.- A finite element approximation of Navier-Stokes equations for incompressible viscous fluids. Iterative methods of solution.- The initial value problem for the Boussinesq equations with data in Lp.- A finite element method for the simulation of a Rayleigh-Taylor instability.- Spectral calculation of the stability of the circular Couette Flow.- Numerical solution of the complete Navier-Stokes equations for the simulation of unsteady flows.- A survey on the functional dynamical system generated by the Navier-Stokes equations.- Solution of the time-dependent incompressible Navier-Stokes and Boussinesq equations using the Galerkin finite element method.- Auxiliary flux and pressure conditions for Navier-Stokes problems.- Classical solutions of the Navier-Stokes equations.- Direct and repeated bifurcation into turbulence.- Approximation of the hydrodynamic equations by a transport process.- Some decay properties of solutions of the Navier-Stokes equations.- The implicit difference schemes for numerical solving the Navier-Stokes equations.- Finite-difference solutions of the Navier-Stokes equations for axially symmetric flows in spherical gaps.- Numerical investigation of unsteady viscous incompressible flow about bodies for varying conditions of their motion.- On the regularity of solutions of the nonstationary Navier-Stokes equations.- The asymptotic behaviour of solutions of the Navier-Stokes equationsnear sharp corners.- High resolution spectral calculations of inviscid compressible flows.- Analysis of Navier-Stokes type equations associated to mathematical models in fluid dynamics.- On the finite element approximation of the nonstationary Navier-Stokes problem.- On the convergence rate of nonstationary Navier-Stokes approximations.- Optimisation of Hermitian methods for Navier-Stokes equations in the vorticity and stream-function formulation.- Navier-stokes calculations with a coupled strongly implicit method Part II: Spline deferred-corrector solutions.- Strange attractors and characteristic exponents of turbulent flows.- Selection mechanisms in symmetry breaking phenomena.- High Reynolds-number flows.- Application of spectral methods to the solution of Navier-Stokes equations.- Regularity questions for the Navier-Stokes equations.- Numerical experiments with a multiple grid and a preconditioned Lanczos type method.- New solutions of the Karman problem for rotating flows.