Skip to main content

Finite Pointset Method for the Simulation of a Vehicle Travelling Through a Body of Water

  • Conference paper
  • First Online:
Meshfree Methods for Partial Differential Equations VII

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 100))

Abstract

In order to shorten design cycles and reduce the cost of development in the automotive industry, simulation tools are widely used for analysis and testing throughout the vehicle development process. The Finite Pointset Method (FPM) has been applied to predict numerically the fluid motion as a vehicle travels through a body of water. FPM is a purely meshfree approach based on a generalized finite difference formulation. It discretises the flow field over a cloud of zero-dimensional, numerical points using least squares operators, and is therefore particularly suitable for flows with free surfaces. FPM has already successfully been applied to various industrial problems with significant transient surface deformation, including airbag deployment, glass formation, filling and sloshing processes. Ensuring the ability of a vehicle to travel through a body of water without being damaged is necessary in markets where monsoon rain occurs or where off-road driving is important. The development of the process to use FPM as a simulation tool for water travel was carried out in two stages: a two-phase water/air simulation of an operating air intake over a basin of water, and a single phase simulation with a moving vehicle.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. J. Kuhnert, Meshfree numerical schemes for time dependent problems in fluid and continuum mechanics, in Advances in PDE Modeling and Computation, ed. by S. Sundar (Ane Books, New Delhi, 2014)

    Google Scholar 

  2. I. Ostermann, J. Kuhnert, D. Kolymbas, C.-H. Chen, I. Polymerou, V. Smilauer, C. Vrettos, D. Chen, Meshfree generalized finite difference methods in soil mechanics part I: theory. Int. J. Geomath. (2013). doi:10.1007/s13137-013-0048-7

    Google Scholar 

  3. A. Tramecon, 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, SAE International (2012). doi:10.4271/2013-01-1158

    Google Scholar 

  4. E. Uhlmann, R. Gerstenberger, J. Kuhnert, Cutting simulation with the meshfree finite pointset method, in 14th CIRP Conference on Modeling of Machining Operations (CIRP CMMO), Turin, 2013

    Google Scholar 

  5. J. Kuhnert, Finite Pointset Method (FPM): meshfree flow solver with applications to elasto-plastic material laws, in Proceedings of the International Conference on Particle-Based Methods, Particles 2009, Barcelona, ed. by E. Oñate, D.R.J. Owen

    Google Scholar 

  6. A.J. Chorin, A numerical method for solving incompressible flow problems. J. Comput. Phys. 2, 12–26 (1967)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Anthony Jefferies .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Jefferies, A., Kuhnert, J., Aschenbrenner, L., Giffhorn, U. (2015). Finite Pointset Method for the Simulation of a Vehicle Travelling Through a Body of Water. In: Griebel, M., Schweitzer, M. (eds) Meshfree Methods for Partial Differential Equations VII. Lecture Notes in Computational Science and Engineering, vol 100. Springer, Cham. https://doi.org/10.1007/978-3-319-06898-5_11

Download citation

Publish with us

Policies and ethics