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Linearizing convection terms in the Navier-Stokes equations

✍ Scribed by Bruce M. DeBlois

Book ID
104267710
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
665 KB
Volume
143
Category
Article
ISSN
0045-7825

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✦ Synopsis

Standard approaches to dealing with the convection term in the Navier-Stokes equation involve either nonlinear Newton methods or Picard linearization. This paper focuses on Picard linearizations. Picard updates to the Navier-Stokes convection terms are accepted to be of the form (UN-' . V)U". Current literature either ignores the possibility of, or recommends against, the (U" .V)ci"-' form. Why? Although this form is attractive due to its symmetry within a Finite Element discretization, it is not merely recommended against, it is wholly incorrect! This paper offers evidence to this effect in the form of analysis, numerical experiment and rationale.

πŸ“œ SIMILAR VOLUMES

Truncation Error Analysis of the Rotatio
Truncation Error Analysis of the Rotational Form for the Convective Terms in the Navier–Stokes Equation
✍ Kiyosi Horiuti; Takao Itami πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 268 KB

The truncation error of the rotational form for the convective terms in the Navier-Stokes equation is examined in the direct numerical simulation (DNS) of the fully developed turbulent channel flow, in which the low-order finite difference method was used for the partial derivatives in the wall-norm