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==1 Title, abstract and keywords==
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==Abstract==
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The main idea of the Particle Finite Element Method in both versions: with moving mesh or with fixed mesh, are to have a set of particles that move in a Lagrangian frame convecting all the physical and mathematical variables (for instance, the density, the viscosity or the conductivity, but also the velocity, the pressure or/and the temperature). These physical and mathematical values are projected at the end of each time-step on a moving mesh or on a fixed mesh. The second possibility has been named PFEM-Second Generation or simply PFEM-2.
  
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Your paper should start with a concise and informative title. Titles are often used in information-retrieval systems. Avoid abbreviations and formulae where possible. Capitalize the first word of the title.
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One of the main drawback of the time integrations using Eulerian formulations are the restricted time-step size that is necessary to use due to the lack of accuracy of the convective terms. Both time integrations, explicit or implicit are, in most cases, limited to small CFL numbers. The cases in which the problem to be solved include free-surfaces or moving internal interfaces, like multi-fluids of fluid-structure interactions this time-step limitation is even worse.
  
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Provide a maximum of 6 keywords, and avoiding general and plural terms and multiple concepts (avoid, for example, 'and', 'of'). Be sparing with abbreviations: only abbreviations firmly established in the field should be used. These keywords will be used for indexing purposes.
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The objective of this presentation is to make an overview of recent examples solved using PFEM-2 and to demonstrate why this method based on particles that move in a Lagrangian frame projecting the results on a fixed mesh is faster than a classical Eulerian Finite Element Method. The authors claim that nowadays, the best way to improve the efficiency of the majority of the CFD problems is the use of a particle-based method like PFEM-2.
  
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An abstract is required for every paper; it should succinctly summarize the reason for the work, the main findings, and the conclusions of the study. Abstract is often presented separately from the article, so it must be able to stand alone. For this reason, references and hyperlinks should be avoided. If references are essential, then cite the author(s) and year(s). Also, non-standard or uncommon abbreviations should be avoided, but if essential they must be defined at their first mention in the abstract itself.
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== Recording of the presentation ==
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{| style="font-size:120%; color: #222222; border: 1px solid darkgray; background: #f3f3f3; table-layout: fixed; width:100%;"
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==2 The main text==
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| {{#evt:service=youtube|id=https://youtu.be/yqUyvBhBviA | alignment=center}}
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You can enter and format the text of this document by selecting the ‘Edit’ option in the menu at the top of this frame or next to the title of every section of the document. This will give access to the visual editor. Alternatively, you can edit the source of this document (Wiki markup format) by selecting the ‘Edit source’ option.
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|- style="text-align: center;"  
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| Location: Technical University of Catalonia (UPC), Vertex Building.  
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Most of the papers in Scipedia are written in English (write your manuscript in American or British English, but not a mixture of these). Anyhow, specific journals in other languages can be published in Scipedia. In any case, the documents published in other languages must have an abstract written in English.
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|- style="text-align: center;"
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| Date: 28 - 30 September 2015, Barcelona, Spain.
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===2.1 Subsections===
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Divide your article into clearly defined and numbered sections. Subsections should be numbered 1.1, 1.2, etc. and then 1.1.1, 1.1.2, ... Use this numbering also for internal cross-referencing: do not just refer to 'the text'. Any subsection may be given a brief heading. Capitalize the first word of the headings.
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===2.2 General guidelines===
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{| style="margin: 1em auto 1em auto;border: 1pt solid black;border-collapse: collapse;"
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| style="text-align: center;"|Thickness
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| style="text-align: center;"|3.175 mm
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| style="text-align: center;"|Young Modulus
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| style="text-align: center;"|12.74 MPa
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| style="text-align: center;"|Poisson coefficient
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| style="text-align: center;"|1107 kg/m<sup>3</sup>
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<span style="text-align: center; font-size: 75%;">Table 1: Material properties</span></div>
 
  
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Graphics may be inserted directly in the document and positioned as they should appear in the final manuscript.
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== General Information ==
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* Location: Technical University of Catalonia (UPC), Barcelona, Spain.
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* Date: 28 - 30 September 2015
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* Secretariat: [//www.cimne.com/ International Center for Numerical Methods in Engineering (CIMNE)].
  
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<span style="text-align: center; font-size: 75%;">Figure 1. Scipedia logo.</span></div>
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(1)
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[[#cite-1|[1]]] Idelsohn, S., Oñate, E., Nigro, N., Becker, P., and Gimenez, J. (2015). Lagrangian versus
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tool to solve incompressible flows with free-surfaces and breaking waves. International journal
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for numerical methods in engineering, 61(7); 964; 989.
 
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[[#cite-3|[3]]] Idelsohn, S., Nigro, N., Gimenez, J., Rossi, R., and Marti, J. (2013). A fast and accurate method
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to solve the incompressible navier-stokes equations. Engineering Computations, 30(2): 2;2.
 
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[[#cite-4|[4]]] Idelsohn, S., Nigro, N., Limache, A. and Oñate, E. (2012). Large time-step explicit integration
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method for solving problems with dominant convection. Computer Methods in Applied
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Mechanics and Engineering, 217:168; 185.
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Latest revision as of 12:15, 20 July 2016

Abstract

The main idea of the Particle Finite Element Method in both versions: with moving mesh or with fixed mesh, are to have a set of particles that move in a Lagrangian frame convecting all the physical and mathematical variables (for instance, the density, the viscosity or the conductivity, but also the velocity, the pressure or/and the temperature). These physical and mathematical values are projected at the end of each time-step on a moving mesh or on a fixed mesh. The second possibility has been named PFEM-Second Generation or simply PFEM-2.

One of the main drawback of the time integrations using Eulerian formulations are the restricted time-step size that is necessary to use due to the lack of accuracy of the convective terms. Both time integrations, explicit or implicit are, in most cases, limited to small CFL numbers. The cases in which the problem to be solved include free-surfaces or moving internal interfaces, like multi-fluids of fluid-structure interactions this time-step limitation is even worse.

The objective of this presentation is to make an overview of recent examples solved using PFEM-2 and to demonstrate why this method based on particles that move in a Lagrangian frame projecting the results on a fixed mesh is faster than a classical Eulerian Finite Element Method. The authors claim that nowadays, the best way to improve the efficiency of the majority of the CFD problems is the use of a particle-based method like PFEM-2.

Recording of the presentation

Location: Technical University of Catalonia (UPC), Vertex Building.
Date: 28 - 30 September 2015, Barcelona, Spain.

General Information

External Links

References

[1] Idelsohn, S., Oñate, E., Nigro, N., Becker, P., and Gimenez, J. (2015). Lagrangian versus eulerian integration errors. Computer Methods in Applied Mechanics and Engineering. http://dx.doi.org/10.1016/j.cma.2015.04.003.

[2] Idelsohn, S. R., Oñate, E., and Pin, F. D. (2004). The particle finite element method: a powerful tool to solve incompressible flows with free-surfaces and breaking waves. International journal for numerical methods in engineering, 61(7); 964; 989.

[3] Idelsohn, S., Nigro, N., Gimenez, J., Rossi, R., and Marti, J. (2013). A fast and accurate method to solve the incompressible navier-stokes equations. Engineering Computations, 30(2): 2;2.

[4] Idelsohn, S., Nigro, N., Limache, A. and Oñate, E. (2012). Large time-step explicit integration method for solving problems with dominant convection. Computer Methods in Applied Mechanics and Engineering, 217:168; 185.

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