Novel Contact Forces for Immersed Boundary Paper Forming Simulations
Paper in proceeding, 2015

To be able to simulate the different processes involved in paper machines, models, numerical methods and algorithms have to be developed which capture as much as possible of the real physical phenomena. In this paper a model for calculation of the chemical and physical interaction between objects included in a fiber suspension is presented. The contact force model is based on DLVO theory [1, 2] and uses so-called contact points distributed along the fiber suspension objects. The contact model has been used in an existing framework to simulate the build-up of low density paper webs. In the framework fibers are modeled as elliptical cylinders whose movements are described by finite-strain beam theory which includes shearing. The fluid flow is computed using a Navier-Stokes solver and immersed boundary methods are utilized to resolve the flow around each fiber. For validation, the air permeability and thickness of the paper webs have been measured and compared with simulated data. The result demonstrates that the software can be used to simulate paper forming.

immersed boundary methods

fiber interaction

fiber suspension

contact forces


Gustav Kettil

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Andreas Mark

Chalmers, Applied Mechanics, Fluid Dynamics

Frida Svelander

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Ron Lai

Lars Martinsson

Kenneth Wester

Mats Fredlund

Maria Rentzhog

Ulf Nyman

Johan Tryding

Fredrik Edelvik

Chalmers, Product and Production Development

Online proceedings:; PF2 - The Past, Present and Future of CFD Papermaking; PaperCon 2015 Atlanta April 19-22

Subject Categories


Computational Mathematics

Paper, Pulp and Fiber Technology

Fluid Mechanics and Acoustics

Areas of Advance


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