Quantum Simulation of Complex Fluid Dynamics with Adaptive Mesh Refinement

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper presents a novel quantum simulation framework designed to address challenges in fluid dynamics simulation, specifically focusing on achieving high accuracy and efficiency. The core innovation lies in the implementation of an Adaptive Mesh Refinement (AMR) technique, which dynamically adjusts the mesh density based on the complexity of the flow field. This mechanism ensures optimal computational resources are utilized, leading to improved simulation performance compared to traditional, static mesh approaches. The theoretical foundations of the proposed method are established through a rigorous analysis of the flow dynamics involved. The paper details the architecture of the simulation, the implementation of the AMR algorithm, and the validation of the framework using a series of challenging fluid dynamics problems. The results demonstrate a significant improvement in accuracy and computational efficiency compared to existing methods, highlighting the potential of this approach for advanced fluid dynamics modeling.

DOI: 10.5281/zenodo.22202224

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