A Cost-Efficient Approach towards Computational Fluid Dynamics Simulations on Quantum Devices

Numerical simulations of physical systems are found in many industries, as they currently play a crucial role product development. There numerical methods for solving differential equations that describe the underlying physics behind mathematical models simulation, among which, finite element method (FEM) is one most commonly used. Although applications FEM seems to provide an acceptable solution problem, there still complex real-life processes can be challenging simulate numerically due their complexity and large size. Recently, has been shift research towards efficiently applying quantum algorithms analysis (FEA), potential speedup could offer have shown, but little no effort made applicability cost efficiency these real-world devices. In this paper, we propose cost-efficient FEA industrial problems post-processed by classical order address limitations available hardware when accessing them through different cloud-based services. We carry out approximating initially system with suitable algorithm using obtained solutions generate set reduced-order (ROMs) much smaller size than original model. This allows simulation model parameter sets excitations run on computers without having need access subroutines again. way, reduced usage (and thus development cost) while taking advantage its speedup.