On spurious vortical structures

摘要: Abstract The paper investigates the formation of spurious vortical structures in incompressible flow simulations employing Godunov-type methods. present work is motivated by earlier studies Brown and Minion (1995, J. Comput. Phys. 122 , 165 1997, 138 734) who demonstrated for a variety numerical schemes (and upwind-biased methods particular) that vortices can occur underresolved simulations. aim our threefold: (i) to identify deficiencies various leading structures, (ii) examine mechanisms responsible these artifacts, (iii) propose modifications order recover correct solutions even under insufficient grid resolution. Our results reveal occurrence depends strongly on method employed. We show addition dissipation properties scheme—emphasized Minion—there are other factors also contribute artifacts. These include instability arising from discretization advective terms primitive variable formulation Navier–Stokes equations, balance among different discretized method, as well accuracy interpolation used discretize wave-speed dependent term Godunov flux.