Improving the mass conservation of the level set method in a finite


What is Con-servation level set method?

  • In contrast to the LS methods developed normally under the re-initialization procedure, con- servation level set method makes use of a smoothed Heaviside function instead of signed distance function to predict interface in the compression-diffusion equation [30–32].

Is the conservation of mass-only conserved in very energetic systems?

  • For very energetic systems the conservation of mass-only is shown not to hold, as is the case in nuclear reactions and particle-antiparticle annihilation in particle physics . Mass is also not generally conserved in open systems. Such is the case when various forms of energy and matter are allowed into, or out of, the system.

What is level set method of finite elements II?

  • Method of Finite Elements II In order to facilitate the evaluation of the enrichment functions and their derivatives, which is necessary for the calculation of the stiffness matrices, the level set method (LSM) is employed in most XFEM implementations.

What is the finite mass method?

  • The finite mass method is a gridless Lagrangian method to solve problems in continuum mechanics, mainly in gas dynamics, and belongs to a class of methods that recently attracts much attention . It has been presented in the article of Gauger, Leinen, and Yserentant and is based on concepts that have been developed in , , and .
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