On the efficiency of semi‐implicit and semi‐Lagrangian spectral methods for the calculation of incompressible flows

摘要: Classical semi-implicit backward Euler/Adams Bashforth time discretizations of the Navier -Stokes equations induce, for high-Reynolds number flows, severe restrictions on step. Such can be relaxed by using semi-Lagrangian schemes essentially based splitting full problem into an explicit transport step and implicit diffusion In comparison with standard characteristics method, method has advantage being much less CPU consuming where spectral methods are concerned. This paper is devoted to semi-implicit' 'semi-Lagrangian' approaches, in terms stability, accuracy computational efficiency. Numerical results advection equation, Burger's equation finally two- three-dimensional Navier-Stokes equations, elements or a collocation provided