Adaptive error control for steady state solutions of inviscid ow
نویسنده
چکیده
The steady state solution of the Euler equations of inviscid ow is computed by an adaptive method. The grid is structured and is re ned and coarsened in prede ned blocks. The equations are discretized by a nite volume method. Error equations, satis ed by the solution errors, are derived with the discretization error as the driving right hand side. An algorithm based on the error equations is developed for errors propagated along streamlines. Numerical examples from two-dimensional compressible and incompressible ow illustrate the method.
منابع مشابه
Equivalent a posteriori error estimates for spectral element solutions of constrained optimal control problem in one dimension
In this paper, we study spectral element approximation for a constrained optimal control problem in one dimension. The equivalent a posteriori error estimators are derived for the control, the state and the adjoint state approximation. Such estimators can be used to construct adaptive spectral elements for the control problems.
متن کاملInviscid dynamical structures near Couette ow
Consider inviscid uids in a channel f 1 < y < 1g. For the Couette ow ~v0 = (y; 0), the vertical velocity of solutions to the linearized Euler equation at ~v0 decays in time. At the nonlinear level, such inviscid damping is widely open. First, we show that in any (vorticity) H s < 3 2 neighborhood of Couette ow, there exist non-parallel steady ows with arbitrary minimal horizontal period. Th...
متن کاملPressure-Velocity Coupled Finite Volume Solution of Steady Incompressible Invscid Flow Using Artificial Compressibility Technique
Application of the computer simulation for solving the incompressible flow problems motivates developing efficient and accurate numerical models. The set of Inviscid Incompressible Euler equations can be applied for wide range of engineering applications. For the steady state problems, the equation of continuity can be simultaneously solved with the equations of motion in a coupled manner using...
متن کاملReview of Preconditioning Methods for Fluid Dynamics
We consider the use of preconditioning methods to accelerate the convergence to a steady state for both the incompressible and compressible uid dynamic equations. Most of the analysis relies on the inviscid equations though some applications for viscous ow are considered. The preconditioning can consist of either a matrix or a di erential operator acting on the time derivatives. Hence, in the s...
متن کاملEffects of Directional Subdividing on adaptive Grid-Embedding (RESEARCH NOTE)
The effects of using both directions and directional subdividing on adaptive gridembedding on the computational time and the number of grid points required for the same accuracy are considered. Directional subdividing is used from the beginning of the adaptation procedure without any restriction. To avoid the complication of unstructured grid, the semi-structured grid was used. It is used to so...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2000