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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.19 No.2
- 발행연도
- 2015.6
- 수록면
- 103 - 121 (19page)
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In this paper, we briefly review and describe a projection algorithm for numerically computing the two-dimensional time-dependent incompressible Navier?Stokes equation. The projection method, which was originally introduced by Alexandre Chorin [A.J. Chorin, Numerical solution of the Navier?Stokes equations, Math. Comput., 22 (1968), pp. 745?762], is an effective numerical method for solving time-dependent incompressible fluid flow problems. The key advantage of the projection method is that we do not compute the momentum and the continuity equations at the same time, which is computationally difficult and costly. In the projection method, we compute an intermediate velocity vector field that is then projected onto divergence-free fields to recover the divergence-free velocity. Numerical solutions for flows inside a driven cavity are presented. We also provide the source code for the programs so that interested readers can modify the programs and adapt them for their own purposes.
목차
ABSTRACT
1. INTRODUCTION
2. NUMERICAL SOLUTION
3. NUMERICAL EXPERIMENTS
4. CONCLUSION
REFERENCES
참고문헌 (29)
참고문헌 신청
[학술지(정기간행물)] - A.S. Almgren / 1996 / A numerical method for the incompressible Navier–Stokes equations based on an approximate projection / SIAM J. Sci. Comput 17 (2) : 358 ~ 369
[단행본] - V. Barbu / 1998 / Partial Differential Equations and Boundary Value Problems / Kluwer
[학술지(정기간행물)] - J.B. Bell / 1989 / A second-order projection method for the incompressible Navier-Stokes equations / J. Comput. Phys. 85 (2) : 257 ~ 283
[학술지(정기간행물)] - A.J. Chorin / 1968 / Numerical solution of the Navier–Stokes equations / Math. Comput 22 : 745 ~ 762
[단행본] - A.J. Chorin / 1990 / A Mathematical Introduction to Fluid Mechanics / Springer
[단행본] - V. Barbu / 1998 / Partial Differential Equations and Boundary Value Problems / Kluwer
[학술지(정기간행물)] - J.B. Bell / 1989 / A second-order projection method for the incompressible Navier-Stokes equations / J. Comput. Phys. 85 (2) : 257 ~ 283
[학술지(정기간행물)] - A.J. Chorin / 1968 / Numerical solution of the Navier–Stokes equations / Math. Comput 22 : 745 ~ 762
[단행본] - A.J. Chorin / 1990 / A Mathematical Introduction to Fluid Mechanics / Springer
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