개인구독
소속 기관이 없으신 경우, 개인 정기구독을 하시면 저렴하게
논문을 무제한 열람 이용할 수 있어요.
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.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 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)
이용수
초록· 키워드
오류제보하기
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
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Analysis of some projection methods for the incompressible fluids with microstructure
대한수학회지
2018 .01
-
Navier-Stokes equations with anisotropic regularity in one velocity component
Proceedings of the Jangjeon Mathematical Society
2016 .01
-
Stabilization of 2D $g$-Navier-Stokes equations
대한수학회논문집
2019 .01
-
On the improved regularity criterion of the solutions to the Navier-Stokes equations
대한수학회논문집
2020 .01
-
Sensitivity analysis of a shape control problem for the Navier--Stokes equations
한국수학논문집
2017 .01
-
A boundary control problem for vorticity minimization in time-dependent 2D Navier-Stokes equations
한국수학논문집
2015 .01
-
Large time behavior for the degenerate compressible Navier-Stokes equations with damping
대한수학회보
2019 .01
-
Decay results of weak solutions to the non-stationary fractional Navier-Stokes equations
대한수학회보
2024 .05
-
NON-NEWTONIAN NAVIER-STOKES EQUATIONS OF POWER LAW TYPE IN TWO DIMENSIONS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2024 .12
-
Asymptotic behaviors of solutions for an aerotaxis model coupled to fluid equations
대한수학회지
2016 .01
-
An implicit numerical scheme for solution of incompressible Navier-Stokes equations on curvilinear grids
대한수학회보
2018 .01
-
A GEOMETRIC METHOD FOR SOLVING SYSTEMS OF LINEAR EQUATIONS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2025 .03
-
Local regularity criteria of the Navier-Stokes equations with slip boundary conditions
대한수학회지
2016 .01
-
Nonnegative variance component estimation for mixed-effects models
CSAM(Communications for Statistical Applications and Methods)
2020 .09
-
The second-order stabilized Gauge-Uzawa method for incompressible flows with variable density
한국수학논문집
2019 .01
-
STUDY ON DECOULED PROJECTION METHOD FOR CAHN-HILLIARD EQUATION
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2023 .12
-
암반단열에서 비선형유동이 발생하는 임계 레이놀즈수
자원환경지질
2019 .01
-
Existence and long-time behavior of solutions to Navier-Stokes-Voigt equations with infinite delay
대한수학회보
2018 .01
-
Local existence for an isentropic compressible Navier-Stokes-P₁ approximate model arising in radiation hydrodynamics
대한수학회보
2020 .01
-
Pullback attractors for 2D $g$-Navier-Stokes equations with infinite delays
대한수학회논문집
2016 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0