3D interpolation techniques for hydromechanical characteristics in the finite volume method

Authors

  • Alexey Matveevich Lipanov Institute of Applied Mechanics UB RAS
  • Artem Nikolaevich Semakin Institute of Applied Mechanics UB RAS

DOI:

https://doi.org/10.7242/1999-6691/2010.3.1.5

Keywords:

finite volume method, hydromechanical parameters, interpolation

Abstract

In this paper the interpolation technique of functions with several variables is describe. Three methods of interpolation over arbitrary located points in 3D space (the method based on the determinants, the method based on Taylor's formula with a remainder, the method based on the Fourier polynomials) are given. For each method the computational formulas are presented. . The examples of calculations for each method are given also. One possible field for application (the final volume method) is specified.

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References

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Published

2010-10-01

Issue

Vol. 3 No. 1 (2010)

Section

Articles

License

Copyright (c) 2010 Computational Continuum Mechanics

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Lipanov, A. M., & Semakin, A. N. (2010). 3D interpolation techniques for hydromechanical characteristics in the finite volume method. Computational Continuum Mechanics, 3(1), 44-51. https://doi.org/10.7242/1999-6691/2010.3.1.5