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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
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In this article, some projection methods (or fractional-step methods) are proposed and analyzed for the micropolar Navier-Stokes equations (MNSE). These methods allow us to decouple the MNSE system into two sub-problems at each timestep, one is the linear and angular velocities system, the other is the pressure system. Both first-order and second-order projection methods are considered. For the classical first-order projection scheme, the stability and error estimates for the linear and angular velocities and the pressure are established rigorously. In addition, a modified first-order projection scheme which leads to some improved error estimates is also proposed and analyzed. We also present the second-order projection method which is unconditionally stable. Ample numerical experiments are performed to confirm the theoretical predictions and demonstrate the efficiency of the methods.
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참고문헌 (37)
참고문헌 신청
Ph. Angot / 2009 / Error analysis of the penalty-projection method for the time dependent Stokes equations / Int. J. Finite 6(1):26
M. Case / 2011 / A connection between Scott-Vogelius elements and grad-div stabilization Taylor-Hood FE approximations of the Navier-Stokes equations / SIAM J. Numer. Anal. 49(4):1461~1481
J. Chen / 2011 / Constitutive equations of Micropolar electromagnetic fluids / J NonNewton Fluid. 166(14):867~874
A. J. Chorin / 1968 / Numerical solution of the Navier-Stokes equations / Math. Comp. 22:745~762
J. S. Dahler / 1961 / Angular momentum of continua / Nature 192:36~37
M. Case / 2011 / A connection between Scott-Vogelius elements and grad-div stabilization Taylor-Hood FE approximations of the Navier-Stokes equations / SIAM J. Numer. Anal. 49(4):1461~1481
J. Chen / 2011 / Constitutive equations of Micropolar electromagnetic fluids / J NonNewton Fluid. 166(14):867~874
A. J. Chorin / 1968 / Numerical solution of the Navier-Stokes equations / Math. Comp. 22:745~762
J. S. Dahler / 1961 / Angular momentum of continua / Nature 192:36~37
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