A second order scheme for the navier-stokes equations: stability and convergence

Autor:	Daniel X. Guo
Rok vydání:	1999
Předmět:	Control and Optimization Discretization Mathematical analysis Computer Science Applications Operator (computer programming) Signal Processing Convergence (routing) Neumann boundary condition Projection method Crank–Nicolson method Boundary value problem Navier–Stokes equations Analysis Mathematics
Zdroj:	Numerical Functional Analysis and Optimization. 20:881-900
ISSN:	1532-2467 0163-0563
DOI:	10.1080/01630569908816929
Popis:	In this paper, a fully discretized projection method is introduced. It contains a parameter operator. Depending on this operator, we can obtain a first-order scheme, which is appropriate for theoretical analysis, and a second-order scheme, which is more suitable for actual computations. In this method, the boundary conditions of the intermediate velocity field and pressure are not needed. We give the proof of the stability and convergence for the first-order case. For the higher order cases, the proof were different, and we will present it elsewhere. In a forthcoming article [7], we apply this scheme to the driven-cavity problem and compare it with other schemes
Databáze:	OpenAIRE
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