Meshfree method for the non-stationary incompressible Navier-Stokes equations
- Title
- Meshfree method for the non-stationary incompressible Navier-Stokes equations
- Author
- 김도완
- Keywords
- MLSRK; stokes equations; meshfree method; Navier-Stokes equations; Error estimate
- Issue Date
- 2006-02
- Publisher
- AMER INST MATHEMATICAL SCIENCES
- Citation
- DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v. 6, No. 1, Page. 17-39
- Abstract
- We consider the solvability and the error estimates of numerical solutions of the non-stationary incompressible Stokes and Navier-Stokes equations by the meshfree method. The moving least square reproducing kernel method or the MLSRK method is employed for the space approximations. The existence of numerical solutions and the L-2-type error estimates are obtained. As a numerical example, we compare the numerical solutions of the Stokes and the Navier-Stokes equations with the exact solutions. Also we solve the non-stationary Navier-Stokes driven cavity flow using the MLSRK method.
- URI
- http://www.aimsciences.org/journals/displayArticles.jsp?paperID=1345https://repository.hanyang.ac.kr/handle/20.500.11754/107728
- ISSN
- 1531-3492
- DOI
- 10.3934/dcdsb.2006.6.17
- Appears in Collections:
- COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY[E](과학기술융합대학) > ETC
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