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Examining errors and correction techniques for SPH
Author(s) -
Fürstenau JanPhilipp,
Weißenfels Christian,
Wriggers Peter
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800081
Subject(s) - ansatz , thermal conduction , smoothed particle hydrodynamics , zeroth law of thermodynamics , smoothing , constant (computer programming) , kernel (algebra) , heat kernel , work (physics) , statistical physics , mathematics , physics , mathematical analysis , computer science , mechanics , statistics , thermodynamics , mathematical physics , combinatorics , programming language
Despite its popularity, it is well known that the SPH method in its original form is not even zeroth order consistent [5]. This inconsistency results from the SPH‐ansatz function, the so‐called kernel, only depending on the chosen smoothing length, ignoring the current particle distribution. For the examination the heat conduction equation was chosen. Heat conduction test cases have the advantage, that their particle distribution can remain constant during the whole simulation. In this work the resulting errors are highlighted and the influence of common correction techniques of zeroth order are compared.