A consistent direct-iterative inverse design method for the Euler equations

Simple item page
dc.contributor.authorBrock, Jerry S.en
dc.contributor.committeechairNg, Faien
dc.contributor.committeememberBrown, Eugene F.en
dc.contributor.committeememberWalters, Robert W.en
dc.contributor.committeememberNelson, Douglas J.en
dc.contributor.committeememberMason, William H.en
dc.contributor.departmentMechanical Engineeringen
dc.date.accessioned2014-03-14T21:21:49Zen
dc.date.adate2005-10-20en
dc.date.available2014-03-14T21:21:49Zen
dc.date.issued1993-04-05en
dc.date.rdate2005-10-20en
dc.date.sdate2005-10-20en
dc.description.abstractA new, consistent direct-iterative method is proposed for the solution of the aerodynamic inverse design problem. Direct-iterative methods couple analysis and shape modification methods to iteratively determine the geometry required to support a target surface pressure. The proposed method includes a consistent shape modification method wherein the identical governing equations are used in both portions of the design procedure. The new shape modification method is simple, having been developed from a truncated, quasi-analytical Taylor's series expansion of the global governing equations. This method includes a unique solution algorithm and a design tangency boundary condition which directly relates the target pressure to shape modification. The new design method was evaluated with an upwind, cell-centered finite-volume formulation of the two-dimensional Euler equations. Controlled inverse design tests were conducted with a symmetric channel where the initial and target geometries were known. The geometric design variable was a channel-wall ramp angle, 0, which is nominally five degrees. Target geometries were defined with ramp angle perturbations of J10 = 2 %, 10%, and 20 %. The new design method was demonstrated to accurately predict the target geometries for subsonic, transonic, and supersonic test cases; M=0.30, 0.85, and 2.00. The supersonic test case efficiently solved the design tests and required very few iterations. A stable and convergent solution process was also demonstrated for the lower speed test cases using an under-relaxed geometry update procedure. The development and demonstration of the consistent direct-iterative method herein represent the important first steps required for a new research area for the advancement of aerodynamic inverse design methods.en
dc.description.degreePh. D.en
dc.format.extentx, 104 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-10202005-102823en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-10202005-102823/en
dc.identifier.urihttp://hdl.handle.net/10919/40033en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1993.B762.pdfen
dc.relation.isformatofOCLC# 29323393en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1993.B762en
dc.subject.lcshAerodynamics -- Mathematical modelsen
dc.subject.lcshEuler's numbersen
dc.subject.lcshInverse problems (Differential equations)en
dc.titleA consistent direct-iterative inverse design method for the Euler equationsen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineMechanical Engineeringen
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:
LD5655.V856_1993.B762.pdf
Size:
3.74 MB
Format:
Adobe Portable Document Format
Download

Collections

Doctoral Dissertations