On the Resolution of Critical Flow Regions in Inviscid Linear And Nonlinear Instability Calculations

Theofilis, Vassilios (1998). On the Resolution of Critical Flow Regions in Inviscid Linear And Nonlinear Instability Calculations. "Journal of Engineering Mathematics", v. 34 (n. 1-2); pp. 111-129. ISSN 0022-0833. https://doi.org/10.1023/A:1004366529352.

Description

Title: On the Resolution of Critical Flow Regions in Inviscid Linear And Nonlinear Instability Calculations
Author/s:
  • Theofilis, Vassilios
Item Type: Article
Título de Revista/Publicación: Journal of Engineering Mathematics
Date: 1998
ISSN: 0022-0833
Volume: 34
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Motopropulsión y Termofluidodinámica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Numerical methods for tackling the inviscid instability problem are discussed. Convergence is demon- strated to be a necessary, but not a sufficient condition for accuracy. Inviscid flow physics set requirements regarding grid-point distribution in order for physically accurate results to be obtained. These requirements are relevant to the viscous problem also and are shown to be related to the resolution of the critical layers. In this respect, high-resolution nonlinear calculations based on the inviscid initial-boundary-value problem are presented for a model shear-layer flow, aiming at identification of the regions that require attention in the course of high-Reynolds-number viscous calculations. The results bear a remarkable resemblance with those pertinent to viscous flow, with a cascade of high-shear regions being shed towards the vortex-core centre as time progresses. In parallel, numerical instability related to the finite-time singularity of the nonlinear equations solved globally contaminates and eventually destroys the simulations, irrespective of resolution.

More information

Item ID: 10441
DC Identifier: http://oa.upm.es/10441/
OAI Identifier: oai:oa.upm.es:10441
DOI: 10.1023/A:1004366529352
Official URL: http://www.springerlink.com/content/xw257677378p3302/
Deposited by: Memoria Investigacion
Deposited on: 05 Mar 2012 11:49
Last Modified: 20 Apr 2016 18:39
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