Saxena, SK and Anamika, HS (1993) Implicit step formulalion for compressible thin layer navier-stokes solution. Technical Report. National Aeronautical Laboratory, Bangalore, India.
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Abstract
A detailed formulation of implicit step for the solution of13; 2D/axisymmetric compressible thin-layer Navier-Stokes equations is presented .This step is based on backward Euler time inte ration and employs first order accurate upwind scheme with flux-vector splittin due to van Leer13; for discretization of space derivatives of the Euler terms, while the viscous terms are central differenced as usual . This results in a penta-diaonal implicit step operator which is dia onally dominant . Coupled with a second order accurate upwind TVD formulation of the explicit step,which is already available, this implicit operator can be inverted efficiently usin line13; Gauss-Seidel procedure .
| Item Type: | Monograph (Technical Report) |
|---|---|
| Uncontrolled Keywords: | Hyporeonic viscous flows;Unfactored implicit upwind scheme;Thin-layer navier-stokes solution |
| Subjects: | ENGINEERING > Fluid Mechanics and Thermodynamics |
| Depositing User: | Mrs Neetu Chandra |
| Date Deposited: | 10 Jul 2006 |
| Last Modified: | 24 May 2010 04:13 |
| URI: | http://nal-ir.nal.res.in/id/eprint/1641 |
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