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Nonlinear Galerkin method and two-step method for the Navier-Stokes equations

✍ Scribed by He Yinnian; Li Kaitai

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
666 KB
Volume
12
Category
Article
ISSN
0749-159X

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✦ Synopsis

This article represents a new nonlinear Galerkin scheme for the Navier-Stokes equations. This scheme consists of a nonlinear Galerkin finite element method and a two-step difference method. Moreover, we also provide a Galerkin scheme. By convergence analysis, two numerical schemes have the same second-order convergence accuracy for the spatial discretization and time discretization if H is chosen such that H = O(h'"). However, the nonlinear Galerkin scheme is simpler than the Galerkin scheme, namely, this scheme can save a large amount of computational time.

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