Title page for ETD etd-335713312971890


Type of Document Dissertation
Author Appel, Justin Ronald
URN etd-335713312971890
Title Sensitivity Calculations For Conservation Laws With Application To Discontinuous Fluid Flows
Degree PhD
Department Mathematics
Advisory Committee
Advisor Name Title
Burns, John A.
Cliff, Eugene M.
Herdman, Terry L.
Peterson, Janet S.
Gunzburger, Max D. Committee Chair
Keywords
  • none
Date of Defense 1997-03-14
Availability unrestricted
Abstract
Flow 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.

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