Solving Burgers’ equation with quantum computing

Abstract Computational fluid dynamics (CFD) simulations are a vital part of the design process in aerospace industry. Although reliable CFD results can be obtained with turbulence models, direct numerical simulation complex bodies three spatial dimensions (3D) is impracticable due to massive amount computational elements. For instance, 3D turbulent boundary-layer over wing commercial jetliner that resolves all relevant length scales using serial solver on modern digital computer would take approximately 750 million years or roughly 20% earth’s age. Over past 25 years, quantum computers have become object great interest worldwide as powerful algorithms been constructed for several important, computationally challenging problems provide enormous speed-up best-known classical algorithms. In this paper, we adapt recently introduced algorithm partial differential equations Burgers’ equation and develop determines its solutions. We used our verify find flow solution when shockwave not present. The were compared to: (i) an exact analytical without shockwave; (ii) flows shockwave. Excellent agreement was found both cases, error comparable solver.