Abstract
An inverse geometric heat conduction problem algorithm is presented for the detection of irregular shaped cavities located within irregular shaped bodies. The inverse problem is solved using the additional information provided by specifying a Cauchy condition at the exposed boundary. The exposed surface temperature distribution is determined experimentally using an infrared scanner. The inverse problem solution algorithm is based on solving a sequence of forward steady state heat conduction problems and defining a residual measuring the difference between actual and computed boundary conditions under the current system configuration. The boundary element method is used to solve the forward problems. The iterative procedure is automated through the use of a multivariable nonlinear solver along with the linear and cubic spline based Anchored Grid Pattern (AGP) method described herein. Numerical simulation is used to investigate the practical implementation of the AGP algorithm in detecting a small cavity. T...
Published Version
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