Sensitivity Calculations For Conservation Laws With Application To Discontinuous Fluid Flows

Simple item page
dc.contributor.authorAppel, Justin Ronalden
dc.contributor.committeechairGunzburger, Max D.en
dc.contributor.committeememberBurns, John A.en
dc.contributor.committeememberCliff, Eugene M.en
dc.contributor.committeememberHerdman, Terry L.en
dc.contributor.committeememberPeterson, Janet S.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:21:49Zen
dc.date.adate1997-03-14en
dc.date.available2014-03-14T20:21:49Zen
dc.date.issued1997-03-14en
dc.date.rdate1997-03-14en
dc.date.sdate1998-07-11en
dc.description.abstractFlow sensitivities are the derivatives of the variables that describe the fluid flow with respect to the parameters that determine the fluid flow. Sensitivities are of interest in their own right and are also of use in flow optimization, control and design and in the calculation of perturbed flows. Problems arise in all sensitivity calculation methods in the presence of discontinuities and other complexities such as shock waves, contact discontinuities and rarefaction waves that commonly occur in super and hypersonic inviscid, compressible fluid flows. Flow sensitivities are calculated using finite difference quotients, automatic differentiation and the sensitivity equation method for a variety of numerical methods. Explanations for the inaccuracies arising in the numerical approximations and implications these inaccuracies have on different applications are discussed. Possible corrections for the inaccuracies are outlined.en
dc.description.degreePh. D.en
dc.identifier.otheretd-335713312971890en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-335713312971890/en
dc.identifier.urihttp://hdl.handle.net/10919/30476en
dc.publisherVirginia Techen
dc.relation.haspartappel.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectnoneen
dc.titleSensitivity Calculations For Conservation Laws With Application To Discontinuous Fluid Flowsen
dc.typeDissertationen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
appel.pdf
Size:
2.5 MB
Format:
Adobe Portable Document Format
Download

Collections

Doctoral Dissertations