Proceedings of the KSME Conference (대한기계학회:학술대회논문집)
- 2001.06e
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- Pages.410-415
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- 2001
Investigation on Boundary Conditions of Fractional-Step Methods: Compatibility, Stability and Accuracy
분할단계법의 경계조건에 관한 연구: 적합성, 안정성 및 정확도
- Published : 2001.06.27
Abstract
An analytical and numerical examination of second-order fractional-step methods and boundary condition for the incompressible Navier-Stokes equations is presented. In this study, the compatibility condition for pressure Poisson equation and its boundary conditions, stability, and numerical accuracy of canonical fractional-step methods has been investigated. It has been found that satisfaction of compatibility condition depends on tentative velocity and pressure boundary condition, and that the compatible boundary conditions for type D method and approximately compatible boundary conditions for type P method are proper for divergence-free velocity for type D and approximately divergence-free for type P method. Instability of canonical fractional-step methods is induced by approximation of implicit viscous term with explicit terms, and the stability criteria have been founded with simple model problems and numerical experiments of cavity flow and Taylor vortex flow. The numerical accuracy of canonical fractional-step methods with its consistent boundary conditions shows second-order accuracy except
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