Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering
Introduction to Solid Modeling
Introduction to Solid Modeling
Dimension-independent modeling with simplicial complexes
ACM Transactions on Graphics (TOG)
Structural operators for modeling 3-manifolds
SMA '97 Proceedings of the fourth ACM symposium on Solid modeling and applications
Primitives for the manipulation of general subdivisions and the computation of Voronoi
ACM Transactions on Graphics (TOG)
Proceedings of the sixth ACM symposium on Solid modeling and applications
Design of object oriented finite element code
Advances in Engineering Software
Nonmanifold Topology Based on Coupling Entities
IEEE Computer Graphics and Applications
A scalable data structure for three-dimensional non-manifold objects
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
3D Compression Made Simple: Edgebreaker with Zip&Wrap on a Corner-Table
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
A fictitious domain/finite element method for particulate flows
Journal of Computational Physics
deal.II—A general-purpose object-oriented finite element library
ACM Transactions on Mathematical Software (TOMS)
A polyhedron representation for computer vision
AFIPS '75 Proceedings of the May 19-22, 1975, national computer conference and exposition
Using design patterns in object-oriented finite element programming
Computers and Structures
A Fictitious Domain, parallel numerical method for rigid particulate flows
Journal of Computational Physics
ParTopS: compact topological framework for parallel fragmentation simulations
Engineering with Computers
Object-oriented, parallel finite element framework with dynamic load balancing
Advances in Engineering Software
Object oriented implementation of the T-spline based isogeometric analysis
Advances in Engineering Software
An object-oriented approach to the Generalized Finite Element Method
Advances in Engineering Software
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Flows with suspended particles is a challenging task and important in many applications such as sedimentation, rheology and fluidized suspensions. The coupling between the suspending liquid flow and the particles' motion is the central point in the complete understanding of the phenomena that occur in these applications. Finite Element/Fictitious Domain is an important class of method used to solve this problem. In this work we propose a simple object oriented implementation for simulations of flows with suspended particles in the plane using the Fictitious Domain method together with Lagrange multipliers to solve the Navier-Stokes and rigid body equations with a fully implicitly and fully coupled Finite Element approach. To have an efficient implementation for Fictitious Domain/Finite Element method, we introduce a new topological data structure that is concise in terms of storage and very suitable for searching the elements of the mesh intersected by the particles.