Title: Quantum Simulation of Fluid Dynamics with Adaptive Grid
Jincheng Zhang
Abstract
Quantum simulation offers unprecedented capabilities in modeling complex systems, and fluid dynamics presents a particularly challenging area for computational advancements. This paper explores the application of quantum computing to enhance fluid dynamics simulations, focusing on the development of a novel adaptive grid algorithm. Traditional methods often struggle with the inherent computational cost of simulating fluid flows with high resolution, limiting accuracy and scalability. This work introduces a dynamically adjusting grid scheme that optimizes the simulation by leveraging quantum phenomena to achieve significantly improved accuracy and reduced computational resources. The paper details the implementation of this adaptive grid algorithm, demonstrates its effectiveness through a series of simulations, and discusses the potential implications for future research and applications in fluid dynamics.