Numerical Treatment of the Navier-Stokes Equations by Wolfgang Hackbusch
The most frequently used method for the numerical integration of parabolic differential equa- tions is the method of lines, where one first uses a discretization of space derivatives by finite differences or finite elements and then uses some time-stepping method for the the solution of resulting system of ordinary differential equations. Such methods are, at least conceptually, easy to perform. However, they can be expensive if steep gradients occur in the solution, stability must be controlled, and the global error control can be troublesome. This paper considers a simultaneaus discretization of space and time variables for a one-dimensional parabolic equation on a relatively long time interval, called 'time-slab'. The discretization is repeated or adjusted for following 'time-slabs' using continuous finite element approximations. In such a method we utilize the efficiency of finite elements by choosing a finite element mesh in the time-space domain where the finite element mesh has been adjusted to steep gradients of the solution both with respect to the space and the time variables. In this way we solve all the difficulties with the classical approach since stability, discretization error estimates and global error control are automatically satisfied. Such a method has been discussed previously in 3] and 4]. The related boundary value techniques or global time integration for systems of ordinary differential equations have been discussed in several papers, see 12] and the references quoted therein.-
New Results in Numerical and Experimental Fluid Mechanics XII
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Transition Location Effect on Shock Wave Boundary Layer Interaction
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New Results in Numerical and Experimental Fluid Mechanics VIII
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New Developments in Computational Fluid Dynamics
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Management and Minimisation of Uncertainties and Errors in Numerical Aerodynamics
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Active Flow Control II
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ADIGMA – A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications
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New Results in Numerical and Experimental Fluid Mechanics IV
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New Results in Numerical and Experimental Fluid Mechanics V
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New Results in Numerical and Experimental Fluid Mechanics VI
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Numerical Flow Simulation I
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New Results in Numerical and Experimental Fluid Mechanics III
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Summary of Flow Modulation and Fluid-Structure Interaction Findings
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Turbulence and Interactions
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Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws
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New Results in Numerical and Experimental Fluid Mechanics IX
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New Results in Numerical and Experimental Fluid Mechanics VII
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Nature-Inspired Fluid Mechanics
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Imaging Measurement Methods for Flow Analysis
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Fundamental Medical and Engineering Investigations on Protective Artificial Respiration
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Numerical Techniques in Continuum Mechanics
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Active Flow and Combustion Control 2021
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Numerical methods for the Navier-Stokes equations
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Adaptive Finite Element Solution Algorithm for the Euler Equations
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EUROVAL - An European Initiative on Validation of CFD Codes
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Progress in Hybrid RANS-LES Modelling
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Computational Science and High Performance Computing IV
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Efficient Solutions of Elliptic Systems
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Computational Flight Testing
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Noise and Vibration Mitigation for Rail Transportation Systems
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Numerical Simulation of Compressible Navier-Stokes Flows
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Computational Fluid Dynamics on Parallel Systems
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Supercomputers and Their Performance in Computational Fluid Dynamics
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Vectorization of Computer Programs with Applications to Computational Fluid Dynamics
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Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects
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Multiblock Grid Generation
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Numerical Simulation of Oscillatory Convection in Low-Pr Fluids
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Nonlinear Hyperbolic Equations - Theory, Computation Methods, and Applications
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New Results in Numerical and Experimental Fluid Mechanics X
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TILDA: Towards Industrial LES/DNS in Aeronautics
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Fundamentals of High Lift for Future Civil Aircraft
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Advances in Fluid-Structure Interaction
| SKU | Unavailable |
| ISBN 13 | 9783528076306 |
| ISBN 10 | 3528076305 |
| Title | Numerical Treatment of the Navier-Stokes Equations |
| Author | Wolfgang Hackbusch |
| Series | Notes On Numerical Fluid Mechanics And Multidisciplinary Design |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Friedrich Vieweg & Sohn Verlagsgesellschaft mbH |
| Year published | 1990-01-01 |
| Number of pages | 167 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |