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Abstract
The reliability and usefulness of the numerical simulations of a physical process depend not only on the mathematical model representing the process, normally in forms of differential equations, but also on the accuracy and efficiency of the numerical methods for solving such equations. This paper presents the theoretical basics of a new numerical method, namely Meshless Level Set method, in which the advantageous features of meshless methods and level set methods are integrated to solve moving boundary problems. Some benchmark problems solved by the method are presented to demonstrate the accuracyand efficiency of the method as well as its potential applications in petroleum engineering.
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Article Details
Issue: Vol 11 No 11 (2008)
Page No.: 74-84
Published: Nov 30, 2008
Section: Sciences of Earth and Environment - Research article
DOI: https://doi.org/10.32508/stdj.v11i11.2732
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Copyright: The Authors. This is an open access article distributed under the terms of the Creative Commons Attribution License CC-BY 4.0., which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
How to Cite
Cao Lan, M., & Thanh, T. (2008). MESHLESS LEVEL SET METHOD: MATHEMATICAL FUNDAMENTALS AND POTENTIAL APPLICATIONS IN PETROLEUM ENGINEERING. Science and Technology Development Journal, 11(11), 74-84. https://doi.org/https://doi.org/10.32508/stdj.v11i11.2732
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