An explicit Chebyshev pseudospectral multigrid method for incompressible Navier–Stokes equations

摘要: Abstract The two-dimensional steady incompressible Navier–Stokes equations in the form of primitive variables have been solved by Chebyshev pseudospectral method. pressure and velocities are coupled artificial compressibility method NS pseudotime with an explicit four-step Runge–Kutta integrator. In order to reduce computational time cost, we propose spectral multigrid algorithm full approximation storage (FAS) scheme implement it through V-cycle (FMG) strategies. Four iterative methods designed including single grid method; FMG accuracy efficiency numerical validated three test problems: modified one-dimensional Burgers equation; Taylor vortices lid driven cavity flow. results fit well exact or benchmark solutions. can be maintained as ones, while cost is greatly reduced latter. For flow problem, proved most efficient one among four methods. A speedup nearly two orders magnitude achieved three-level at least two-level