Media and Publications

Referencing MESHFREE

According to good scientific practice, software should be cited on the same basis as any other research product such as a paper or a book (FORCE 11 recommendation).

To cite the MESHFREE software in publications, please use one of the following citations:

• MESHFREE Team. MESHFREE (VERSION) [software]. Fraunhofer ITWM & SCAI. YEAR. url: https://www.meshfree.eu/.
• @Manual{,
  title        = {{MESHFREE} (VERSION) [software]},
  author       = {{MESHFREE Team}},
  organization = {{Fraunhofer ITWM \& SCAI}},
  address      = {Germany},
  year         = YEAR,
  url          = {https://www.meshfree.eu/}
  }

where YEAR is the release year of the VERSION used. If the BibTex code is used, please add the desired key.

In addition, we recommend citing one or more of the publications associated with MESHFREE below. An in-depth explanation of the time integration scheme (e.g. overall scheme, Lagrangian motion, discretization of turbulence model) can be found in the entries marked with an asterisk (*).

Publications on MESHFREE

A selection regarding theory and applications of MESHFREE.

D.N. Tanyu, I. Michel, A. Rademacher, J. Kuhnert, P. Maass
Parameter identification by deep learning of a material model for granular media.
In: International Journal on Geomathematics. 15, 13, 2024.

A.S. Bharadwaj, E. Thiel and P. Suchde
A Lagrangian meshfree model for solidification of liquid thin-films.
In: Computers & Fluids. 2024.

P. Banerjee, M. Padmanabha, C. Sanghavi, I. Michel, S. Gramsch
Machine Learning Optimized Approach for Parameter Selection in MESHFREE Simulations.
Preprint, March, 2024.

C. Leithäuser, V. Norrefeldt, E. Thiel, M. Buschhaus, J. Kuhnert, P. Suchde
Predicting aerosol transmission in airplanes: Benefits of a joint approach using experiments and simulation.
In: International Journal for Numerical Methods in Fluids. Pages 1–20, 2024.

P. Suchde, H. Kraus, B. Bock-Marbach, J. Kuhnert
Meshfree one-fluid modeling of liquid-vapor phase transitions.
In: Computers & Fluids. 273, 106211, 2024.

H. Kraus, J. Kuhnert, A. Meister, P. Suchde
Elliptic operators with discontinuous coefficients in meshfree GFDM.
In: Proceedings in Applied Mathematics and Mechanics. 23, e202200102, 2023.

E. Uhlmann, E. Barth, K. Nabbout, M. Sommerfeld, B. Bock-Marbach, J. Kuhnert, A. Dovgal
Cooling Lubricant Boundary Conditions for wet Turning Simulations.
In: Procedia CIRP. Volume 118, pages 384–389, 2023.

JH. Lee, D. Bäder, S. Rehfeldt, A. Eisenträger, J. Kuhnert, I. Michel, P. Suchde, H. Klein
Modeling evaporation with a meshfree collocation approach.
In: Computational Particle Mechanics. 10, pages 1989–2007, 2023.

H. Kraus, J. Kuhnert, P. Suchde
Higher-Order GFDM for Linear Elliptic Operators.
Preprint, May, 2023.

P. Suchde, C. Leithäuser, J. Kuhnert, S.P.A. Bordas
Volume and Mass Conservation in Lagrangian Meshfree Methods.
Preprint, March, 2023.

K. Nabbout, M. Sommerfeld, E. Barth, E. Uhlmann, B. Bock-Marbach, J. Kuhnert
Cooling Capacity of Oil-in-Water Emulsion under wet Machining Conditions.
In: Procedia CIRP. Volume 117, pages 74–79, 2023.

H. Kraus, J. Kuhnert, A. Meister, P. Suchde
A meshfree point collocation method for elliptic interface problems.
In: Applied Mathematical Modelling. Volume 113, pages 241–261, 2023.

P. Suchde, T. Jacquemin, O. Davydov
Point Cloud Generation for Meshfree Methods: An Overview.
In: Archives of Computational Methods in Engineering. Volume 30, pages 889–915, 2023.

A.S. Bharadwaj, J. Kuhnert, S.P.A. Bordas, P. Suchde
A discrete droplet method for modelling thin film flows.
In: Applied Mathematical Modelling. Volume 112, pages 486–504, 2022.

K. Nabbout, L. Pasternak, M. Sommerfeld, B. Bock-Marbach, J. Kuhnert, E. Barth, E. Uhlmann
Heat Transfer Study for Oil-in-Water Emulsion Jets Impinging onto hot Metal Surface.
In: Proceedings of the 8th World Congress on Mechanical, Chemical, and Material Engineering (MCM'22), Prague, Czech Republic.
Paper No. HTFF 190, 2022.

L. Veltmaat, F. Mehrens, H.-J. Endres, J. Kuhnert, P. Suchde
Mesh-free simulations of injection molding processes.
In: Physics of Fluids. 34, 033102, 2022.

J. Kuhnert
MESHFREE Simulations in Car Design: Closing the Gaps of Classical Simulation Tools.
In: H.G. Bock, KH. Küfer, P. Maass, A. Milde and V. Schulz, editors, German Success Stories in Industrial Mathematics. Mathematics in Industry, vol 35.
Springer, Cham, 2021.

E. Uhlmann, E. Barth, T. Seifarth, M. Höchel, J. Kuhnert, A. Eisenträger
Data for a simulation of metal cutting with cutting fluid using the Finite-Pointset-Method.
In: Data in Brief. Volume 38, 107339, 2021.

E. Uhlmann, E. Barth, T. Seifarth, M. Höchel, J. Kuhnert, A. Eisenträger
Simulation of metal cutting with cutting fluid using the Finite-Pointset-Method.
In: Procedia CIRP. Volume 101, pages 98–101, 2021.

(*) I. Michel, T. Seifarth, J. Kuhnert, P. Suchde
A meshfree generalized finite difference method for solution mining processes.
In: Computational Particle Mechanics. 8(3), pages 561–574, 2021.

B. Metsch, F. Nick and J. Kuhnert
Algebraic multigrid for the finite pointset method.
In: Computing and Visualization in Science. 23(3), 2020.

J. Kuhnert, I. Michel and R. Mack
Fluid Structure Interaction (FSI) in the MESHFREE Finite Pointset Method (FPM): Theory and Applications.
In: M. Griebel and A. M. Schweitzer, editors, Meshfree Methods for Partial Differential Equations IX, Vol. 129, pages 73–92.
Cham Springer International Publishing, 2019.

F. Nick, H.-J. Plum and J. Kuhnert
Parallel Detection of Subsystems in Linear Systems Arising in the MESHFREE Finite Pointset Method.
In: M. Griebel and A. M. Schweitzer, M.A. editors, Meshfree Methods for Partial Differential Equations IX, Vol. 129, pages 93–115.
Cham Springer International Publishing, 2019.

C.D. Peters, S.J. van der Spuy, D.N.J. Els, J. Kuhnert
Aerodynamic damping of an oscillating fan blade: Mesh-based and meshless fluid structure interaction analysis.
In: Journal of Fluids and Structures. 82, pages 173–197, 2018.

(*) P. Suchde, J. Kuhnert and S. Tiwari
On Meshfree GFDM Solvers for the Incompressible Navier-Stokes Equations.
In: Computers & Fluids. 165, pages 1–12, 2018.

(*) P. Suchde and J. Kuhnert
Point cloud movement for fully Lagrangian meshfree methods.
In: Journal of Computational and Applied Mathematics. 340, pages 89–100. 2018.

P. Suchde, J. Kuhnert, S. Schröder and A. Klar
A flux-conserving meshfree method for conservation laws.
In: International Journal for Numerical Methods in Engineering. 112(3), pages 238–256, 2017.

E. Reséndiz-Flores, J. Kuhnert and F. Saucedo-Zendejo
Application of a generalized finite difference method to mould filling process.
In: European Journal of Applied Mathematics. 29(3), pages 1–20, 2017.

I. Michel, I. Bathaeian, J. Kuhnert, D. Kolymbas, C.-H. Chen, I. Polymerou, C. Vrettos and A. Becker
Meshfree generalized finite difference methods in soil mechanics - part II: numerical results.
In: International Journal on Geomathematics. 8, pages 191–217, 2017.

(*) A. Jefferies, J. Kuhnert, L. Aschenbrenner and U. Giffhorn
Finite pointset method for the simulation of a vehicle travelling through a body of water.
In: M. Griebel and A. M. Schweitzer, editors, Meshfree Methods for Partial Differential Equations VII, pages 205–221.
Cham Springer International Publishing, 2015.

J. Kuhnert
Meshfree numerical scheme for time dependent problems in fluid and continuum mechanics.
In: S. Sundar, editor, Advances in PDE Modeling and Computation, pages 119–136.
Ane Books, 2014.

I. Ostermann, J. Kuhnert, D. Kolymbas, C.-H. Chen, I. Polymerou, V. Smilauer, C. Vrettos and D. Chen
Meshfree generalized finite difference methods in soil mechanics – part I: theory.
In: International Journal on Geomathematics. 4, pages 167–184, 2013.

A. Tramecon and J. Kuhnert
Simulation of advanced folded airbags with VPS-PAMCRASH/FPM: Development and validation of turbulent flow numerical simulation techniques applied to curtain bag deployments.
In: SAE Technical Paper. SAE International, 2013.

A.B. Subramanyam, J. Kuhnert, S. Tiwari, S. Sundar, A. Joshi, A. Saxena
On parallelization and load balancing aspects of the finite-pointset method.
In: International Journal of Computer Mathematics. 88(2), pages 360–374, 2011.

E. Uhlmann, R. Gerstenberger, M. Graf von der Schulenburg, J. Kuhnert and A. Mattes
The finite-pointset-method for the meshfree numerical simulation of chip formation.
In: Proceedings of the 12th CIRP Conference on Modeling of Machining Operations. vol. 1, page 145, 2009.

C. Drumm, S. Tiwari, J. Kuhnert and H.-J. Bart
Finite pointset method for simulation of the liquid - liquid flow field in an extractor.
In: Computers & Chemical Engineering. 32(12), pages 2946–2957, 2008.

S. Tiwari and J. Kuhnert
Modeling of two-phase flows with surface tension by Finite Pointset Method (FPM).
In: Journal of Computational and Applied Mathematics. 203, pages 376–386, 2007.

A. Möller and J. Kuhnert
Simulation of the glass flow inside a floating process / Simulation de l'écoulement du verre dans le procédé float.
In: Revue Verre. 13(5), pages 28–30, 2007.

J. Kuhnert
An upwind finite pointset method (FPM) for compressible euler and navier-stokes equations.
In: M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations, pages 239–249.
Springer Berlin Heidelberg, 2003.

K. Stüben
An introduction to algebraic multigrid.
In: U. Trottenberg, C.W. Oosterlee, A. Schüller (eds.) Multigrid, pages 413–532.
Academic Press, 2000.

J. Kuhnert
General Smoothed Particle Hydrodynamics.
PhD thesis, Kaiserslautern University, 1999.