A variational quantum algorithm-based numerical method for solving potential and Stokes flows

Understand

This paper presents a numerical method based on the variational quantum algorithm to solve potential and Stokes flow problems.

• In this method, the governing equations for potential and Stokes flows can be respectively written in the form of Laplace's equation and Stokes equations using velocity potential, stream function and vorticity formulations.
• Then the finite difference method and the generalised differential quadrature (GDQ) method are applied to discretize the governing equations.
• For the prescribed boundary conditions, the corresponding linear systems of equations can be obtained.