On Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes
نویسندگان
چکیده
منابع مشابه
On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
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 a...
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The gauge formulation of the Navier-Stokes equations for incompressible fluids is a new projection method. It splits the velocity u = a+∇φ in terms of auxiliary (non-physical) variables a and φ, and replaces the momentum equation by a heat-like equation for a and the incompressibility constraint by a diffusion equation for φ. This paper studies four time-discrete algorithms based on this splitt...
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15 صفحه اولOn 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 کاملRemarks on the pressure error estimates for the projection methods
However, the incorrect proofs induced by the error (1) can all be fixed as indicated below. More precisely, the proofs for the velocity error estimates in [1] [2] are all valid provided some minor changes of notations; the pressure error estimates still hold, but their proofs necessitate some additional estimates. In summary, all the results presented in [1] [2] remain valid provided some addit...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 1992
ISSN: 0036-1429,1095-7170
DOI: 10.1137/0729004