Modified Particle Approximation to Pressure Gradients in the SPH Algorithm for Interfacial Flows With High Density Ratios

XU Chengjun; XU Shengli; LIU Qingyuan

doi:10.21656/1000-0887.390126

Volume 40 Issue 1

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XU Chengjun, XU Shengli, LIU Qingyuan. Modified Particle Approximation to Pressure Gradients in the SPH Algorithm for Interfacial Flows With High Density Ratios[J]. Applied Mathematics and Mechanics, 2019, 40(1): 20-35. doi: 10.21656/1000-0887.390126

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Modified Particle Approximation to Pressure Gradients in the SPH Algorithm for Interfacial Flows With High Density Ratios

doi: 10.21656/1000-0887.390126

¹School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, P.R.China;²School of Aerospace Engineering, Tsinghua University, Beijing 100084, P.R.China

Received Date: 2018-04-19
Rev Recd Date: 2018-11-12
Publish Date: 2019-01-01

Abstract

Abstract

Interfacial flows with high density ratios ranging from 1 to 1 000 were numerically investigated. Modified particle approximation was proposed for the pressure gradient term in the momentum equation and the repulsive force was imposed for virtual particles outside the interfaces. The Rayleigh-Taylor instability, non-Boussinesq lock exchange, dam-break flow and bubble buoyancy were numerically tested for validation of accuracy and robustness of the new SPH algorithm for multi-fluid flows. The particle distributions, pressure contours and pressure-time distributions at specified points were obtained from the computations. The results are in good agreement with those from references and experimental measurements. The captured interfaces are more smooth in comparison with those from previous literatures and no obvious oscillations are observed in the vicinity of the interfaces.
- smoothed particle hydrodynamics algorithm,
- multi-phase flow,
- Rayleigh-Taylor instability,
- dam-break flow,
- bubble

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References(33)

References

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