지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
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Based on finite element discretization, two linearization approaches to the defect-correction method for the steady incompressible Navier-Stokes equations are discussed and investigated. By applying m times of Newton and Picard iterations to solve an artificial viscosity stabilized nonlinear Navier-Stokes problem, respectively, and then correcting the solution by solving a linear problem, two linearized defect-correction algorithms are proposed and analyzed. Error estimates with respect to the mesh size h, the kinematic viscosity v, the stability factor α and the number of nonlinear iterations m for the discrete solution are derived for the linearized one-step defect-correction algorithms. Efficient stopping criteria for the nonlinear iterations are derived. The influence of the linearizations on the accuracy of the approximate solutions are also investigated. Finally, numerical experiments on a problem with known analytical solution, the lid-driven cavity flow, and the flow over a backward-facing step are performed to verify the theoretical results and demonstrate the effectiveness of the proposed defect-correction algorithms.
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참고문헌 (26)
참고문헌 신청
A. Labovschii / 2009 / A defect correction method for the time-dependent Navier-Stokes equa- tions / Numer. Methods Partial Differential Equations 25 (1) : 1 ~ 25
C. Taylor / 1973 / A numerical solution of the Navier-Stokes equations using the finite element technique / Comput. Fluids 1 (1) : 73 ~ 100
D. K. Gartling / 1990 / A test problem for outflow boundary conditions-flow over a backward- facing step / Int. J. Numer. Methods Fluids 11 : 953 ~ 967
D. N. Arnold / 1984 / A stable finite element for the Stokes equations / Calcolo 21 (4) : 337 ~ 344
E. Erturk / 2005 / Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers / Int. J. Numer. Methods Fluids 48 : 747 ~ 774
C. Taylor / 1973 / A numerical solution of the Navier-Stokes equations using the finite element technique / Comput. Fluids 1 (1) : 73 ~ 100
D. K. Gartling / 1990 / A test problem for outflow boundary conditions-flow over a backward- facing step / Int. J. Numer. Methods Fluids 11 : 953 ~ 967
D. N. Arnold / 1984 / A stable finite element for the Stokes equations / Calcolo 21 (4) : 337 ~ 344
E. Erturk / 2005 / Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers / Int. J. Numer. Methods Fluids 48 : 747 ~ 774
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