This paper presents a review of all existing discrete methods for computing the derivatives of
computational models within a unified mathematical framework. This framework hinges on a …

An efficient gradient-based algorithm for aerodynamic shape optimization is presented. The
algorithm consists of several components, including a novel integrated geometry …

A computational methodology for optimizing the conceptual layout of unsteady flow
problems at low Reynolds numbers is presented. The geometry of the design is described …

This paper presents a non-intrusive framework for integrating existing unsteady partial
differential equation (PDE) solvers into a parallel-in-time simultaneous optimization …

Differentiable fluid simulators are increasingly demonstrating value as useful tools for
developing data-driven models in computational fluid dynamics (CFD). Differentiable …

Gas cyclones have many industrial applications in solid–gas separation. The vortex finder is
an essential part in gas cyclones where the shape and diameter highly affect the cyclone …

The capacity of lithium ion batteries can be improved through the use of functionally graded
electrodes. Here, we present a computational framework for optimizing the layout of …

Unsteady blade row interactions play an important role in the performance of multistage
turbomachinery. However, most aerodynamic optimizations of multistage turbomachinery …

Computer simulations is a fundamental tool of the design process in many engineering
disciplines including aerospace engineering. However, although high-fidelity numerical …

FOR cost-effective gradient-based optimization, both efficient function analysis and efficient
sensitivity analysis are needed. In this work, we demonstrate the application of the automatic …