Proposal

The proposed research aims to investigate the application of quantum computing techniques, specifically the HHL (Harrow-Hassidim-Lloyd) algorithm, to enhance the solutions of the Pressure Poisson Equation (PPE) in computational fluid dynamics (CFD). The PPE is a fundamental partial differential equation that describes potential fields in various physical systems, including fluid flow. Classical methods for solving the PPE can be computationally expensive, especially for high-dimensional problems. This research seeks to leverage quantum algorithms to reduce computational time and improve resolution for turbulence modeling.