Developments in Cartesian cut cell methods

Ingram, David M., Causon, Derek M. and Mingham, Clive G. (2003) Developments in Cartesian cut cell methods. In: Mathematics and Computers in Simulation, pp. 561-572. Presented at MODELLING 2001 - Second IMACS Conference on Mathematical Modelling and Computational Methods in Mechanics, Physics, Biomechanics and Geodynamics, 25th-29th June 2001, Pilsen, Czech Republic.

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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.