On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
نویسنده
چکیده
We present in this paper a rigorous error analysis of several projection schemes for the approximation of the unsteady incompressible NavierStokes equations. The error analysis is accomplished by interpreting the respective projection schemes as second-order time discretizations of a perturbed system which approximates the Navier-Stokes equations. Numerical results in agreement with the error analysis are also presented.
منابع مشابه
On Error Estimates of the Projectionmethods for the Navier - Stokesequations : Second - Order Schemesjie
We present in this paper a rigorous error analysis of certain projection schemes for the approximation of the unsteady incompressible Navier-Stokes equations. The error analysis is accomplished by interpreting the respective projection schemes as second-order time discretizations of a perturbed system which approximates the Navier-Stokes equations. Numerical results in agreement with the error ...
متن کاملOn Error Estimates of the Pressure-correction Projection Methods for the Time-dependent Navier-stokes Equations
In this paper, we present a new pressure-correction projection scheme for solving the time-dependent Navier-Stokes equations, which is based on the Crank-Nicolson extrapolation method in the time discretization. Error estimates for the velocity and the pressure of semidiscretized scheme are derived by interpreting the projection scheme as second-order time discretization of a perturbed system w...
متن کاملDiscontinuous Galerkin approximations of the Stokes and Navier-Stokes equations
Numerical schemes to compute approximate solutions of the evolutionary Stokes and Navier-Stokes equations are studied. The schemes are discontinuous in time and conforming in space and of arbitrarily high order. Fully-discrete error estimates are derived and dependence of the viscosity constant is carefully tracked. It is shown that the errors are bounded by projection errors of the exact solut...
متن کاملA Discontinuous Subgrid Eddy Viscosity Method for the Time-Dependent Navier-Stokes Equations
In this paper we provide an error analysis of a subgrid scale eddy viscosity method using discontinuous polynomial approximations for the numerical solution of the incompressible Navier–Stokes equations. Optimal continuous in time error estimates of the velocity are derived. The analysis is completed with some error estimates for two fully discrete schemes, which are first and second order in t...
متن کاملLocal discontinuous Galerkin methods with implicit-explicit time-marching for time-dependent incompressible fluid flow
The main purpose of this paper is to study the stability and error estimates of the local discontinuous Galerkin (LDG) methods coupled with multi-step implicit-explicit (IMEX) time discretization schemes, for solving time-dependent incompressible fluid flows. We will give theoretical analysis for the Oseen equation, and assess the performance of the schemes for incompressible Navier-Stokes equa...
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:
- Math. Comput.
دوره 65 شماره
صفحات -
تاریخ انتشار 1996