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http://dx.doi.org/10.5139/JKSAS.2005.33.9.034

Development of An Unsteady Navier-Stokes Solver using Implicit Dual Time Stepping Method and DADI Scheme  

Lee, Eun-Seok (한국항공우주연구원 엔진그룹)
Publication Information
Journal of the Korean Society for Aeronautical & Space Sciences / v.33, no.9, 2005 , pp. 34-40 More about this Journal
Abstract
In present study, a two dimensional unsteady Navier-Stokes solver has been developed using the Diagonalized ADI (DADI) method and implicit dual time stepping method. The jacobian matrices in steady state Navier-Stokes equations are introduced from inviscid flux terms. The implicit treatment of artificial dissipation terms results in a block penta-diagonal matrix system and it becomes a scalar penta-diagonal matrix by diagonalization. In steady state equations about fictitious time, a new residual including a real time derivative term is introduced. From a converged solution about fictitious time, a real time unsteady solution can be obtained, which is called 'implicit dual time stepping method'. For code validation, an oscillating flat plate, a regular Karman vortices past a circular cylinder and shock buffeting around a bicircular airfoil problems are numerically solved. And they are compared with a theoretical solution, experiments and other researcher's computations.
Keywords
DADI; Implicit dual time; Unsteady;
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Times Cited By KSCI : 1  (Citation Analysis)
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