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PRESSURE CORRECTION-BASED ITERATIVE SCHEME FOR NAVIER-STOKES EQUATIONS USING NODAL INTEGRAL METHOD

DSpace at IIT Bombay

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Title PRESSURE CORRECTION-BASED ITERATIVE SCHEME FOR NAVIER-STOKES EQUATIONS USING NODAL INTEGRAL METHOD
 
Creator KUMAR, N
SINGH, S
DOSHI, JB
 
Subject SOLVING SOLUTION GRADIENT
ACCURATE DISCRETIZATION
FLUID-FLOW
NATURAL-CONVECTION
POLYGONAL GRIDS
COMPACT
DIFFUSION
FORMULATION
 
Description A novel numerical scheme is developed for steady-state, 2-D incompressible Navier-Stokes equations using the nodal integral method (NIM). The NIM-based schemes have been used to solve partial differential equations in different areas of physics and are known to have very high accuracy compared to conventional numerical schemes. The scheme is implemented using a SIMPLE (Semi-Implicit Method for Pressure-Linked Equations)-like algorithm for pressure and velocity correction instead of solving the exact pressure Poisson equation. To verify the results, two well-known test problems, the lid-driven cavity and natural convection of air in a square cavity, are chosen. For both cases, results are in good agreement with the benchmark solutions even for quite coarse grids.
 
Publisher TAYLOR & FRANCIS INC
 
Date 2014-10-16T05:42:36Z
2014-10-16T05:42:36Z
2012
 
Type Article
 
Identifier NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 62(4)264-288
http://dx.doi.org/10.1080/10407790.2012.709169
http://dspace.library.iitb.ac.in/jspui/handle/100/15365
 
Language en