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Article: Incompressible material point method for free surface flow
Title | Incompressible material point method for free surface flow |
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Authors | |
Keywords | Free surface flow Hourglass damping Material point method Operator splitting Surface tension |
Issue Date | 2017 |
Publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jcp |
Citation | Journal of Computational Physics, 2017, v. 330, p. 92-110 How to Cite? |
Abstract | To overcome the shortcomings of the weakly compressible material point method (WCMPM) for modeling the free surface flow problems, an incompressible material point method (iMPM) is proposed based on operator splitting technique which splits the solution of momentum equation into two steps. An intermediate velocity field is first obtained by solving the momentum equations ignoring the pressure gradient term, and then the intermediate velocity field is corrected by the pressure term to obtain a divergence-free velocity field. A level set function which represents the signed distance to free surface is used to track the free surface and apply the pressure boundary conditions. Moreover, an hourglass damping is introduced to suppress the spurious velocity modes which are caused by the discretization of the cell center velocity divergence from the grid vertexes velocities when solving pressure Poisson equations. Numerical examples including dam break, oscillation of a cubic liquid drop and a droplet impact into deep pool show that the proposed incompressible material point method is much more accurate and efficient than the weakly compressible material point method in solving free surface flow problems. |
Persistent Identifier | http://hdl.handle.net/10722/242215 |
ISSN | 2021 Impact Factor: 4.645 2020 SCImago Journal Rankings: 1.882 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Zhang, F | - |
dc.contributor.author | Zhang, X | - |
dc.contributor.author | Sze, KY | - |
dc.contributor.author | Lian, YP | - |
dc.contributor.author | Liu, Y | - |
dc.date.accessioned | 2017-07-24T01:36:49Z | - |
dc.date.available | 2017-07-24T01:36:49Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | Journal of Computational Physics, 2017, v. 330, p. 92-110 | - |
dc.identifier.issn | 0021-9991 | - |
dc.identifier.uri | http://hdl.handle.net/10722/242215 | - |
dc.description.abstract | To overcome the shortcomings of the weakly compressible material point method (WCMPM) for modeling the free surface flow problems, an incompressible material point method (iMPM) is proposed based on operator splitting technique which splits the solution of momentum equation into two steps. An intermediate velocity field is first obtained by solving the momentum equations ignoring the pressure gradient term, and then the intermediate velocity field is corrected by the pressure term to obtain a divergence-free velocity field. A level set function which represents the signed distance to free surface is used to track the free surface and apply the pressure boundary conditions. Moreover, an hourglass damping is introduced to suppress the spurious velocity modes which are caused by the discretization of the cell center velocity divergence from the grid vertexes velocities when solving pressure Poisson equations. Numerical examples including dam break, oscillation of a cubic liquid drop and a droplet impact into deep pool show that the proposed incompressible material point method is much more accurate and efficient than the weakly compressible material point method in solving free surface flow problems. | - |
dc.language | eng | - |
dc.publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jcp | - |
dc.relation.ispartof | Journal of Computational Physics | - |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.subject | Free surface flow | - |
dc.subject | Hourglass damping | - |
dc.subject | Material point method | - |
dc.subject | Operator splitting | - |
dc.subject | Surface tension | - |
dc.title | Incompressible material point method for free surface flow | - |
dc.type | Article | - |
dc.identifier.email | Sze, KY: kysze@hku.hk | - |
dc.identifier.authority | Sze, KY=rp00171 | - |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1016/j.jcp.2016.10.064 | - |
dc.identifier.scopus | eid_2-s2.0-84995910819 | - |
dc.identifier.hkuros | 273120 | - |
dc.identifier.volume | 330 | - |
dc.identifier.spage | 92 | - |
dc.identifier.epage | 110 | - |
dc.identifier.isi | WOS:000394408900005 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 0021-9991 | - |