Adaptive Finite Element Solution Algorithm for the Euler Equations by Richard A Shapiro
This monograph is the result of my PhD thesis work in Computational Fluid Dynamics at the Massachusettes Institute of Technology under the supervision of Professor Earll Murman. A new finite element al- gorithm is presented for solving the steady Euler equations describing the flow of an inviscid, compressible, ideal gas. This algorithm uses a finite element spatial discretization coupled with a Runge-Kutta time integration to relax to steady state. It is shown that other algorithms, such as finite difference and finite volume methods, can be derived using finite element principles. A higher-order biquadratic approximation is introduced. Several test problems are computed to verify the algorithms. Adaptive gridding in two and three dimensions using quadrilateral and hexahedral elements is developed and verified. Adaptation is shown to provide CPU savings of a factor of 2 to 16, and biquadratic elements are shown to provide potential savings of a factor of 2 to 6. An analysis of the dispersive properties of several discretization methods for the Euler equations is presented, and results allowing the prediction of dispersive errors are obtained. The adaptive algorithm is applied to the solution of several flows in scramjet inlets in two and three dimensions, demonstrat- ing some of the varied physics associated with these flows. Some issues in the design and implementation of adaptive finite element algorithms on vector and parallel computers are discussed.-
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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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 | 9783528076320 |
| ISBN 10 | 3528076321 |
| Title | Adaptive Finite Element Solution Algorithm for the Euler Equations |
| Author | Richard A Shapiro |
| Series | Notes On Numerical Fluid Mechanics And Multidisciplinary Design |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Friedrich Vieweg & Sohn Verlagsgesellschaft mbH |
| Year published | 1991-01-01 |
| Number of pages | 166 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |