2003
DOI: 10.1016/s0021-9991(03)00351-6
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Smooth particle hydrodynamics: importance of correction terms in adaptive resolution algorithms

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Cited by 17 publications
(16 citation statements)
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“…Thus, the smoothing length h is initially distributed so that its values are small in the desired accurate area and bigger elsewhere, leading to a method quite equivalent to local refinement/stretching commonly used in mesh-based Navier-Stokes solvers. Formally, these features imply some additional terms involvingrh and dh dt in the previous formulation [11][12][13] aiming at satisfying conservation requirements.…”
Section: Variable Smoothing Lengthmentioning
confidence: 99%
“…Thus, the smoothing length h is initially distributed so that its values are small in the desired accurate area and bigger elsewhere, leading to a method quite equivalent to local refinement/stretching commonly used in mesh-based Navier-Stokes solvers. Formally, these features imply some additional terms involvingrh and dh dt in the previous formulation [11][12][13] aiming at satisfying conservation requirements.…”
Section: Variable Smoothing Lengthmentioning
confidence: 99%
“…While allowing a critical step forward with a large set of simulations, the excellence of the treeAsph code used in this work was somewhat diminished by its serial numerical structure (Serna et al 1996;Alimi et al 2003), hampering the possibility of high resolution simulations, which require large amounts of computing time.…”
Section: Introductionmentioning
confidence: 99%
“…in the context of fluid–structure interaction problems. In recent years, different variable resolution schemes aiming to improve the accuracy and numerical efficiency of SPH have been proposed . However, to the authors' best knowledge, no such algorithm has been presented before for truly ISPH.…”
Section: Splitting Algorithm and Numerical Implementationmentioning
confidence: 99%