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A multigrid smoother for high reynolds number flows (1996).
| Content Provider | CiteSeerX |
|---|---|
| Author | Sterner, Erik |
| Abstract | . The linearized Navier-Stokes equations are solved in 2D using a multigrid method where a semi-implicit Runge-Kutta scheme is the smoother. With this smoother the stiffness of the equations due to the disparate scales in the boundary layer is removed and Reynolds number independent convergence is obtained. 1 Introduction The solution to the steady compressible Navier-Stokes equations is often found by the method of lines. Space discretization leads to a large system of equations, which may be solved by integrating in time with an explicit Runge-Kutta scheme until a steady state is reached. This is a fairly straightforward and robust method, but for some viscous calculations very time consuming. One way to speed up the calculations is to use a semi-implicit Runge-Kutta scheme, where explicit integration in the streamwise direction is combined with implicit integration in the body-normal direction, see [11]. Here we use the semi-implicit scheme as the smoother in a multigrid method. F... |
| File Format | |
| Publisher Date | 1996-01-01 |
| Access Restriction | Open |
| Subject Keyword | Multigrid Smoother High Reynolds Number Flow Semi-implicit Runge-kutta Scheme Multigrid Method Body-normal Direction Reynolds Number Independent Convergence Explicit Integration Viscous Calculation Linearized Navier-stokes Equation Disparate Scale Space Discretization Explicit Runge-kutta Scheme Large System Steady Compressible Navier-stokes Equation Semi-implicit Scheme Implicit Integration Robust Method Steady State Boundary Layer Streamwise Direction |
| Content Type | Text |
