2000
DOI: 10.1002/(sici)1097-0363(20000330)32:6<647::aid-fld979>3.0.co;2-k
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Considerations on the spring analogy

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Cited by 256 publications
(146 citation statements)
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“…Another approach within the framework of a linear spring system is the ball-vertex method [11], where additional springs are added that resist the motion of a vertex to its opposite face. For more work on the stabilization of spring systems and other self-adaptive mesh motion methods, we refer the reader to [3,7,12] and references therein.…”
Section: Itm Web Of Conferencesmentioning
confidence: 99%
See 2 more Smart Citations
“…Another approach within the framework of a linear spring system is the ball-vertex method [11], where additional springs are added that resist the motion of a vertex to its opposite face. For more work on the stabilization of spring systems and other self-adaptive mesh motion methods, we refer the reader to [3,7,12] and references therein.…”
Section: Itm Web Of Conferencesmentioning
confidence: 99%
“…For a review on mesh spring systems and their numerical solution, see eg. [3]. In the approach discussed here, the parameters k, l 0 , are treated as independent fields, and t is a constant.…”
Section: The Spring Analogymentioning
confidence: 99%
See 1 more Smart Citation
“…As the velocity of the material interface node is known, the moving grid system is employed to avoid the negative grid volumes near the material interface. In this paper, the spring analogy (Blom, 2000) is applied to obtain other grids' velocities so that the whole fluid's grid nodes are moving together with the material interface. Then the motion of the material interface is tracked at any time.…”
Section: One Dimensionmentioning
confidence: 99%
“…First, the interface's location is obtained with all of these methods by solving some special formulations, which cannot show directly the motion of the interface. Second, these methods are all based on the stationary grids, where the state vectors near the interface are obtained through interpolation, and even a small error may lead to collapse or meaningless computation (Fedkiw, Marquina and Merriman, 1999;Blom, 2000) unless some special method is introduced at the interface, such as "Ghost Fluid Method" . Lastly, it is difficult for all of these methods to solve the multi-material flows accurately with a micro-deforming interface.…”
Section: Introductionmentioning
confidence: 99%