P. D. Hovland and L. C. McInnes, "Parallel Simulation of Compressible Flow Using Automatic Differentiation and PETSc," Preprint ANL/MCS-P796-0200, November 2000. [pdf]
Many aerospace applications require parallel implicit solution strategies and software. We consider the use of two computational tools, PETSc and ADIFOR, to implement a Newton-Krylov-Schwarz method with pseudo-transient continuation for a particular application, namely, a steady-state, fully implicit, three-dimensional compressible Euler model of flow over an M6 wing. We describe how automatic differentiation (AD) can be used within the PETSc framework to compute the required derivatives. We present performance data demonstrating the suitability of AD and PETSc for this problem. We conclude with a synopsis of our results and a description of opportunities for future work.