Virginia Tech
Sensitivity Calculations For Conservation Laws With Application To Discontinuous Fluid Flows
Abstract
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.
Degree
thesis:*- Name thesis:degree_name
- Ph. D.
- Level thesis:degree_level
- doctoral
- Discipline thesis:degree_discipline
- Mathematics
- Department dc:contributor.department
- Mathematics
- Grantor dc:publisher
- Virginia Tech
- Year dc:date.issued
- 1997
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Appel, Justin Ronald
- Chair dc:contributor.committeechair
-
- Gunzburger, Max D.
- Committee members dc:contributor.committeemember
-
- Burns, John A.
- Cliff, Eugene M.
- Herdman, Terry L.
- Peterson, Janet S.
Subjects
dc:subject × 1Rights
dc:rights- Statement dc:rights
-
- In Copyright
- Licence dc:rights.uri
Identifiers
dc:identifier.*- Dc Identifier Other
- etd-335713312971890
- OAI identifier oai:identifier
- oai:vtechworks.lib.vt.edu:10919/30476