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- 자료유형
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- 저자정보
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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.16 No.3
- 발행연도
- 2012.9
- 수록면
- 193 - 204 (12page)
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This paper is comparing numerical schemes for a differential equation with convection and fourth-order diffusion. Our model equation is h<SUB>t</SUB> + (h² - h³)<SUB>x</SUB> = -(h³h<SUB>xxx</SUB>)<SUB>x</SUB>, which arises in the context of thin film flow driven the competing effects of an induced surface tension gradient and gravity. These films arise in thin coating flows and are of great technical and scientific interest. Here we focus on the several numerical methods to apply the model equation and the comparison and analysis of the numerical results. The convection terms are treated with well known WENO methods and the diffusion term is treated implicitly. The diffusion and convection schemes are combined using a fractional step-splitting method.
목차
ABSTRACT
1. INTRODUCTION
2. NUMERICAL SCHEMES
3. NUMERICAL RESULTS
4. CONCLUSION
Acknowledgements
REFERENCES
참고문헌 (26)
참고문헌 신청
1. [단행본] - E. F. Toro / 1997 / Riemann Solvers and Numerical Methods for Fluid Dynamics / Springer-Verlag
2. [단행본] - R.J. LEVEQUE / 1990 / Numerical methods for conservation laws, Lectures in Mathematics ETH Zurich / Birkhauser Verlag
3. [학술지(정기간행물)] - R.J. LEVEQUE / 1995 / High-resolution conservative algorithms for advection in incompressible flow / SIAM J. Sci. Compu.
4. [인터넷자원] - R.J. LEVEQUE / / Clawpack Version 4.0 Users Guide, Technical report
5. [학술지(정기간행물)] - H. NESSYAHU / 1990 / Nonoscillatory central differencing for hyperbolic conservation laws / J. Comput. Phys. 87 (2) : 408 ~ 463
2. [단행본] - R.J. LEVEQUE / 1990 / Numerical methods for conservation laws, Lectures in Mathematics ETH Zurich / Birkhauser Verlag
3. [학술지(정기간행물)] - R.J. LEVEQUE / 1995 / High-resolution conservative algorithms for advection in incompressible flow / SIAM J. Sci. Compu.
4. [인터넷자원] - R.J. LEVEQUE / / Clawpack Version 4.0 Users Guide, Technical report
5. [학술지(정기간행물)] - H. NESSYAHU / 1990 / Nonoscillatory central differencing for hyperbolic conservation laws / J. Comput. Phys. 87 (2) : 408 ~ 463
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UCI(KEPA) : I410-ECN-0101-2014-410-001252389