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We present an analysis of our fictitious domain approach for a one-dimensional wave problem.
Fictitious domain methods for the numerical solution of two-dimensional scattering problems are considered.
A direct-forcing fictitious domain (DF/FD) method for the simulation of particulate flows is reported.
A fictitious domain method is presented for solving elliptic partial differential equations using Galerkin spectral approximation.
In this paper, we present a development of the fictitious domain method proposed in Ref. [C.
This work presents a new fictitious domain finite element method for FRS of reacting particulate flows.
However, for reacting gas solid flows no suitable fictitious domain numerical method has been developed.
The fluid structure interaction (FSI) is computed using the fictitious domain method.
The recently introduced Finite Cell Method (FCM) combines the fictitious domain idea with the benefits of high-order Finite Elements.
The inner cylinder is treated as a fictitious domain (FD) in which a zero velocity constraint is imposed.
Fixed mesh numerical methods, such as fictitious domain method, are preferred in solving FRS problems and have been widely researched.
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