A Numerical Third-Order Method for Solving the Navier–Stokes Equations with Respect to Time

Аннотация

A linearly implicit (Rosenbrock-type) numerical method for the integration of three-dimensional Navier–Stokes equations for compressible fluid with respect to time is proposed. The method has four stages and third order of accuracy with respect to time. As the benchmark, the Cauchy problem on a 3D torus is solved. The computed distributions are compared with the solution specified by the ABC flow.