A second order accuracy in time for a full discretized time-dependent Navier-Stokes equations by a two-grid scheme
Overview & Synopsis
We study a second-order two-grid scheme fully discrete in time and space for solving the Navier-Stokes equations. The two-grid strategy consists in discretizing, in the first step, the fully non-linear problem, in space on a coarse grid with mesh-size H and time step Δt and, in the second step, in discretizing the linearized problem around the velocity uH computed in the first step, in space on a fine grid with mesh-size h and the same time step. The two-grid method has been applied for an analysis of a first order fully-discrete in time and space algorithm and we extend the method to the second order algorithm.
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Document Information
| Document Title | A second order accuracy in time for a full discretized time-dependent Navier-Stokes equations by a two-grid scheme |
|---|---|
| Author / Organization | Hyam Abboud, Vivette Girault, Toni Sayah |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2007 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-32936 |
| Original Source Link | Visit Source Page on hal.science » |