Adaptive Finite Element Solution Algorithm for the Euler Equations

Name: Adaptive Finite Element Solution Algorithm for the Euler Equations
Brand: Friedrich Vieweg & Sohn Verlagsgesellschaft mbH
SKU: 9783528076320
Price: 277.75 RON
Availability: InStock

Autor: RA SHAPIRO

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Editura: Friedrich Vieweg & Sohn Verlagsgesellschaft mbH

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277.75 lei

This monograph is the result of my PhD thesis work in Computational Fluid Dynamics at the Massachuse...

Informații despre carte

Autor

RA SHAPIRO

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

1991

Pagini

166

EAN

9783528076320

ISBN

9783528076320

Enbook ID

08907261

Editura

Friedrich Vieweg & Sohn Verlagsgesellschaft mbH

Greutate

290

Dimensiuni

155 x 235 x 11

Descriere completă

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.

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Adaptive Finite Element Solution Algorithm for the Euler Equations

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