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Nodal Integral Method Using Quadrilateral Elements for Transport Equations: Part 2-Navier-Stokes Equations

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Title Nodal Integral Method Using Quadrilateral Elements for Transport Equations: Part 2-Navier-Stokes Equations
 
Creator KUMAR, N
SINGH, S
DOSHI, JB
 
Subject NAVIER-STOKES EQUATIONS
INCOMPRESSIBLE-FLOW
HEAT-TRANSFER
FLUID-FLOW
EFFICIENT
SCHEME
GRIDS
DIFFUSION
CAVITY
SKEW
 
Description A numerical scheme for the Navier-Stokes equations in an irregular shaped domain using the nodal integral method (NIM) is developed. A mapping similar to the convection-diffusion article (Part 1) is used for the Navier-Stokes equations using the NIM in an arbitrary-shaped domain. Use of a recently developed pressure correction-based iterative scheme for the NIM ensures that the final solution satisfies the continuity condition. Lid-driven and buoyancy-driven flows in a skewed cavity are used as two test cases for comparison and verification. From the detailed comparative study of the results obtained by the NIM and very-fine-grid results (using finite-volume or similar approaches) of previous studies, it is established that this NIM-based scheme for the Navier-Stokes equation retains its capability to produce accurate results in comparatively much coarser grids, even with nonorthogonal grids
 
Publisher TAYLOR & FRANCIS INC
 
Date 2014-10-16T05:43:06Z
2014-10-16T05:43:06Z
2013
 
Type Article
 
Identifier NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 64(1)22-47
http://dx.doi.org/10.1080/10407790.2013.784124
http://dspace.library.iitb.ac.in/jspui/handle/100/15366
 
Language en