An Interpolation-Based Method for Multidimensional Extrapolation

Abstract:

This paper presents an interpolation-based method for multidimensional extrapolation. A series of interpolation formulations are proposed to extrapolate functions normal to the interface between two regions. Theoretical proofs and relevant analysis are also presented. The method developed maintains the characteristics of implicit interface. The interface inside every cell is treated smoothly by assuming that curvature is equal everywhere. The method developed and numerical results are verified by comparing to the results by PDE method and theoretical results. Numerical tests demonstrate that the method developed is first-order accuracy and also more efficient in numerical implementation and more accurate than PDE method.

• Periodical: Advanced Materials Research (Volumes 1079-1080)
• Pages: 654-659
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.1079-1080.654
• Online since: December 2014
• Authors: Ru Chao Shi*, Yong Chi Li
• Keywords: Extrapolation, Ghost Fluid Method, Interpolation Method, Level Set Method

References

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