SIAM Journal on Numerical Analysis
An adaptive version of the immersed boundary method
Journal of Computational Physics
An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries
Journal of Computational Physics
An immersed boundary method with formal second-order accuracy and reduced numerical viscosity
Journal of Computational Physics
Combined immmersed-boundary finite-difference methods for three-dimensional complex flow simulations
Journal of Computational Physics
The blob projection method for immersed boundary problems
Journal of Computational Physics
The immersed interface method for the Navier-Stokes equations with singular forces
Journal of Computational Physics
A sharp interface Cartesian Ggid method for simulating flows with complex moving boundaries: 345
Journal of Computational Physics
An immersed-boundary finite-volume method for simulations of flow in complex geometries
Journal of Computational Physics
Journal of Computational Physics
Matched interface and boundary (MIB) method for elliptic problems with sharp-edged interfaces
Journal of Computational Physics
Three-dimensional matched interface and boundary (MIB) method for treating geometric singularities
Journal of Computational Physics
The fixed-mesh ALE approach for the numerical approximation of flows in moving domains
Journal of Computational Physics
MIB method for elliptic equations with multi-material interfaces
Journal of Computational Physics
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The fictitious domain (FD) method is an interesting method of flow calculation for domains where mesh generation is not straightforward. This method has been reported in literature to be able to simulate flow in relatively open domains with incompressible fluids. In this paper a FD technique is tested for flow calculations inside closed geometries and for compressible flow. The computational fluid dynamics code FLUENT, versions 5.4 and 6.0, has been extended with user-defined functions and has been used for the analysis of incompressible flow in a lobe pump and the analysis of compressible flow in a tooth compressor. The results show that the FD method can be made to work for incompressible flow, although further development is necessary for compressible flow.