6533b7defe1ef96bd12767ff
RESEARCH PRODUCT
A normalized iterative Smoothed Particle Hydrodynamics method
Elisa FrancomanoMarta Paliagasubject
Numerical AnalysisGeneral Computer ScienceApplied Mathematics010103 numerical & computational mathematics02 engineering and technologyFunction (mathematics)01 natural sciencesDomain (mathematical analysis)Theoretical Computer ScienceSmoothed-particle hydrodynamicsSettore MAT/08 - Analisi NumericaDistribution (mathematics)Iterated residuals Normalized Smoothed Particle Hydrodynamics Accuracy ConvergenceIterated functionIterative refinementModeling and SimulationConvergence (routing)0202 electrical engineering electronic engineering information engineeringApplied mathematics020201 artificial intelligence & image processingLinear approximation0101 mathematicsMathematicsdescription
Abstract In this paper we investigate on a normalized iterative approach to improve the Smoothed Particle Hydrodynamics (SPH) estimate of a function. The method iterates on the residuals of an initial SPH approximation to obtain a more accurate solution. The iterative strategy preserves the matrix-free nature of the method, does not require changes on the kernel function and it is not affected by disordered data distribution. The iterative refinement is further improved by ensuring linear approximation order to the starting iterative values. We analyze the accuracy and the convergence of the method with the standard and normalized formulation giving evidence of the enhancements obtained with both uniform and non-uniform data density. Numerical experiments in 2D domain with different data sets are presented to validate the iterative approach.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-10-01 |