Search results for "Consistency restoring"

showing 6 items of 6 documents

On the Consistency Restoring in SPH

2009

Function approximationSettore MAT/08 - Analisi NumericaMeshless particle methodSmoothed Particle Hydrodynamics methodConsistency Restoring
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The Poisson problem: A comparison between two approaches based on SPH method

2012

Abstract In this paper two approaches to solve the Poisson problem are presented and compared. The computational schemes are based on Smoothed Particle Hydrodynamics method which is able to perform an integral representation by means of a smoothing kernel function by involving domain particles in the discrete formulation. The first approach is derived by means of the variational formulation of the Poisson problem, while the second one is a direct differential method. Numerical examples on different domain geometries are implemented to verify and compare the proposed approaches; the computational efficiency of the developed methods is also studied.

Integral representationApplied MathematicsMathematical analysisFunction (mathematics)Domain (software engineering)Smoothed-particle hydrodynamicsSettore MAT/08 - Analisi NumericaComputational MathematicsVariational principleApplied mathematicsPoisson problem Meshless method Smoothed Particle Hydrodynamics Consistency restoring Variational principle Differential methodSmoothing kernelPoisson problemDifferential methodMathematicsApplied Mathematics and Computation
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A Smoothed Particle Image Reconstruction method

2010

Many image processing techniques work with scattered data distribution usually employing grid based methods leading to numerical problems. To address this issue, a numerical method avoiding mesh generation can be used. Such a method performs an integral representation by means of a smoothing kernel function and, in the discrete formulation, involves domain particles. In this paper the meshless Smoothed Particle Hydrodynamics method is proposed in the Image Reconstruction context and a new computational strategy called Smoothed Particle Image Reconstruction is presented; the new method is based on a scatter approach and several innovative ideas are introduced in order to improve the computat…

Nearest neighboring searchMathematical optimizationAlgebra and Number TheoryConsistency restoringNumerical analysisMeshless particle methodContext (language use)Image processingFunction (mathematics)Iterative reconstructionSmoothed-particle hydrodynamicsSettore MAT/08 - Analisi NumericaComputational MathematicsImage processingMesh generationImage reconstruction reconstructionTheory of computationSmoothed particle Hydrodinamics methodAlgorithmMathematicsCalcolo
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Exploiting Numerical Behaviors in SPH.

2010

Smoothed Particle Hydrodynamics is a meshless particle method able to evaluate unknown field functions and relative differential operators. This evaluation is done by performing an integral representation based on a suitable smoothing kernel function which, in the discrete formulation, involves a set of particles scattered in the problem domain. Two fundamental aspects strongly characterizing the development of the method are the smoothing kernel function and the particle distribution. Their choice could lead to the so-called particle inconsistency problem causing a loose of accuracy in the approximation; several corrective strategies can be adopted to overcome this problem. This paper focu…

Series (mathematics)Applied MathematicsMeshless particle methodconsistency restoringfunction approximationGeneral ChemistryFunction (mathematics)smoothed particle hydrodinamics methodSmoothed-particle hydrodynamicsSettore MAT/08 - Analisi NumericaFunction approximationDistribution (mathematics)Kernel methodProblem domainCalculusApplied mathematicsparticle distributionSmoothingMathematics
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Consistency Restoring in SPH for Trigonometric Functions Approximation

2009

Settore MAT/08 - Analisi NumericaMeshless particle methods Smoothed Particle Hydrodynamics method Consistency restoring Function approximation
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An improved Smoothed Particle ElectroMagnetics method in 3D time domain simulations

2012

In this paper, an enhanced variant of the meshless smoothed particle electromagnetics (SPEM) method is performed in order to solve PDEs in time domain describing 3D transient electromagnetic phenomena. The method appears to be very efficient in approximating spatial derivatives in the numerical treatment of Maxwell's curl equations. In many cases, very often, accuracy degradation, due to a lack of particle consistency, severely limits the usefulness of this approach. A numerical corrective strategy, which allows to restore the SPEM consistency, without any modification of the smoothing kernel function and its derivatives, is presented. The method allows to restore the same order of consiste…

Settore MAT/08 - Analisi NumericaSettore ING-IND/31 - ElettrotecnicaNumerical modellingconsistency restoringSmoothed Particle Electromagnetics smoothed particle electromagnetics (SPEM)
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