Developments in Cartesian cut cell methods

  • Authors:

  • D. M. Ingram;D. M. Causon;C. G. Mingham

  • Affiliations:

  • Centre for Mathematical Modelling and Flow Analysis, Manchester Metropolitan University, Chester Street, Manchester M1 5GD, UK;Centre for Mathematical Modelling and Flow Analysis, Manchester Metropolitan University, Chester Street, Manchester M1 5GD, UK;Centre for Mathematical Modelling and Flow Analysis, Manchester Metropolitan University, Chester Street, Manchester M1 5GD, UK

  • Venue:
  • Mathematics and Computers in Simulation - MODELLING 2001 - Second IMACS conference on mathematical modelling and computational methods in mechanics, physics, biomechanics and geodynamics
  • Year:
  • 2003

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Abstract

This paper describes the Cartesian cut cell method, which provides a flexible and efficient alternative to traditional boundary fitted grid methods. The Cartesian cut cell approach uses a background Cartesian grid for the majority of the flow domain with special treatments being applied to cells which are cut by solid bodies, thus retaining a boundary conforming grid. The development of the method is described with applications to problems involving both moving bodies and moving material interfaces.