✍ Scribed by Volker John; Joachim Rang
No coin nor oath required. For personal study only.
Adaptive time stepping is an important tool in Computational Fluid Dynamics for controlling the accuracy of simulations and for enhancing their efficiency. This paper presents a systematic study of three classes of implicit and linearly implicit time stepping schemes with adaptive time step control applied to a 2D laminar flow around a cylinder: h-schemes, diagonal-implicit Runge-Kutta (DIRK) methods and Rosenbrock-Wanner (ROW) methods. The time step is controlled using embedded methods. It is shown that several ROW methods clearly outperform the more standard h-schemes and the DIRK methods. The results depend on a prescribed tolerance in the time step control algorithm, whose appropriate choice varies from scheme to scheme.
📜 SIMILAR VOLUMES
In this paper we present a method for solving the equations governing timedependent, variable density incompressible flow in two or three dimensions on an adaptive hierarchy of grids. The method is based on a projection formulation in which we first solve advection-diffusion equations to predict int
A complete boundary integral formulation for incompressible Navier -Stokes equations with time discretization by operator splitting is developed using the fundamental solutions of the Helmholtz operator equation with different order. The numerical results for the lift and the drag hysteresis associa
## Abstract We examine the convergence characteristics of iterative methods based on a new preconditioning operator for solving the linear systems arising from discretization and linearization of the steady‐state Navier–Stokes equations. For steady‐state problems, we show that the preconditioned pr