Sensitivities for Taylor-Test Model Parameters

Abstract

Abstract. The Taylor-Cylinder test has long been used to calibrate equation-of-state and materialstrength models. The process consists of impacting a cylinder of material on a rigid anvil and adjusting the model parameters to predict the resultant shape. Here we discuss the use of Automatic Differentiation (AD) of an Eulerian hydrodynamics model to provide sensitivities that are used as a gradient in the parameter fitting process. We apply AD in the forward and adjoint modes. For comparison, the gradient is also determined by finite differences. We find that adjoint methods provide the most efficient use of computational resources when there are 9 or more parameters.