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: 19126 HUF
Availability: InStock

Szerző: RA SHAPIRO

Nyelv:

Kötés: Puha kötésű

Kiadó: Friedrich Vieweg & Sohn Verlagsgesellschaft mbH

Elérhetőség: Beszállítói készleten

Küldés 5-8 napon belül

19 126 Ft

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

Információk a könyvről

Szerző

RA SHAPIRO

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

1991

oldal

166

EAN

9783528076320

ISBN

9783528076320

Enbook ID

08907261

Kiadó

Friedrich Vieweg & Sohn Verlagsgesellschaft mbH

Súly

290

Méretek

155 x 235 x 11

Teljes leírás

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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