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Keywords: Newton–Raphson method
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Journal Articles
International Journal of Numerical Methods for Heat & Fluid Flow 1–29.
Published: 15 September 2026
... potential flow theory, the governing equations are linearized and the normal mode analysis is applied to derive a second-order dispersion relation connecting the temporal growth rate with the wave number. This dispersion relation is solved numerically using the Newton–Raphson method. Findings...
Journal Articles
International Journal of Numerical Methods for Heat & Fluid Flow (2016) 26 (6): 1661–1683.
Published: 01 August 2016
...-dimensional case where unequal densities of the phases are taken into account. © Emerald Group Publishing Limited 2016 Level set method Newton-Raphson method Stefan-like problem Extended finite element method The level set method (LSM) is used to analyze the front movement. The method...
Journal Articles
International Journal of Numerical Methods for Heat & Fluid Flow (2015) 25 (2): 400–421.
Published: 02 March 2015
... iterative approach to solve the problem. The Newton-Raphson method is used and the incremental discrete XFEM equations are derived. Findings – The robustness and utility of the method are demonstrated on several one-dimensional benchmark problems. Originality/value – The novel procedure based...
