On different calculation formulas of the pressure term in bi-phase SPH simulations

Shuai Chen; Wei Niu

doi:10.1063/1.5052504

On different calculation formulas of the pressure term in bi-phase SPH simulations

Shuai Chen
, Wei Niu^*

^*Corresponding author for this work

Sino-French Engineer School/School of General Engineering

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The smoothed particle hydrodynamics (SPH) method is usually expected to be an efficient numerical tool for calculating the multiphase phenomena in compressors. However, numerical instability arises around the interfaces due to the pressure inconsistency. By analyzing different formula of the pressure term under SPH approximation, we show that the frequently-used formulation (n=-1) leads to the worst performance and is thus not recommended. By contrast, we suggest the formulas n=0 and 1 in future practical SPH applications.

Original language	English
Article number	105131
Journal	AIP Advances
Volume	8
Issue number	10
DOIs	https://doi.org/10.1063/1.5052504
State	Published - 1 Oct 2018

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title = "On different calculation formulas of the pressure term in bi-phase SPH simulations",

abstract = "The smoothed particle hydrodynamics (SPH) method is usually expected to be an efficient numerical tool for calculating the multiphase phenomena in compressors. However, numerical instability arises around the interfaces due to the pressure inconsistency. By analyzing different formula of the pressure term under SPH approximation, we show that the frequently-used formulation (n=-1) leads to the worst performance and is thus not recommended. By contrast, we suggest the formulas n=0 and 1 in future practical SPH applications.",

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AU - Niu, Wei

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N2 - The smoothed particle hydrodynamics (SPH) method is usually expected to be an efficient numerical tool for calculating the multiphase phenomena in compressors. However, numerical instability arises around the interfaces due to the pressure inconsistency. By analyzing different formula of the pressure term under SPH approximation, we show that the frequently-used formulation (n=-1) leads to the worst performance and is thus not recommended. By contrast, we suggest the formulas n=0 and 1 in future practical SPH applications.

AB - The smoothed particle hydrodynamics (SPH) method is usually expected to be an efficient numerical tool for calculating the multiphase phenomena in compressors. However, numerical instability arises around the interfaces due to the pressure inconsistency. By analyzing different formula of the pressure term under SPH approximation, we show that the frequently-used formulation (n=-1) leads to the worst performance and is thus not recommended. By contrast, we suggest the formulas n=0 and 1 in future practical SPH applications.

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DO - 10.1063/1.5052504

M3 - 文章

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On different calculation formulas of the pressure term in bi-phase SPH simulations

Abstract

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