The formulation of simplified models in the description of flow fields can be highly interesting in many complex network such as the circulatory system. This work presents a refined one-dimensional finite element model with node-dependent kinematics applied to incompressible and laminar flows. In the framework of 1D-FE modelling, this methodology is a new development of the Carrera Unified Formulation (CUF), which is largely employed in structural mechanics. According to the CUF, the weak formulation of the Stokes problem is expressed in terms of fundamental nuclei and, in this novel implementation, the kinematics can be defined node by node, realizing different levels of refinements within the main direction of the pipe. Such feature allows to increase the accuracy of the model only in the areas of the domain where it is required, i.e. particular boundary condition, barriers or sudden expansion. Some typical CFD examples are proposed to validate this novel technique, including Stokes flows in uniform and non-uniform domains. For each numerical example, different combinations of 1D models have been considered to account for different kinematic approximations of flows, and in particular, models based on Taylor and Lagrange expansion have been used. The results, compared with ones obtained from uniform kinematics 1D models and with those come from available tools, highlight the capability of the proposed model in handling non-conventional boundary conditions with ease and in preserving the computational cost without any accuracy loss.
Skip Nav Destination
ASME 2018 International Mechanical Engineering Congress and Exposition
November 9–15, 2018
Pittsburgh, Pennsylvania, USA
Conference Sponsors:
- ASME
ISBN:
978-0-7918-5210-1
PROCEEDINGS PAPER
Finite Element Models of One Dimensional Flows With Node-Dependent Accuracy
Daniele Guarnera,
Daniele Guarnera
Politecnico di Torino, Torino, Italy
Search for other works by this author on:
Enrico Zappino,
Enrico Zappino
Politecnico di Torino, Torino, Italy
Search for other works by this author on:
Alfonso Pagani,
Alfonso Pagani
Politecnico di Torino, Torino, Italy
Search for other works by this author on:
Erasmo Carrera
Erasmo Carrera
Politecnico di Torino, Torino, Italy
Search for other works by this author on:
Daniele Guarnera
Politecnico di Torino, Torino, Italy
Enrico Zappino
Politecnico di Torino, Torino, Italy
Alfonso Pagani
Politecnico di Torino, Torino, Italy
Erasmo Carrera
Politecnico di Torino, Torino, Italy
Paper No:
IMECE2018-86852, V007T09A027; 6 pages
Published Online:
January 15, 2019
Citation
Guarnera, D, Zappino, E, Pagani, A, & Carrera, E. "Finite Element Models of One Dimensional Flows With Node-Dependent Accuracy." Proceedings of the ASME 2018 International Mechanical Engineering Congress and Exposition. Volume 7: Fluids Engineering. Pittsburgh, Pennsylvania, USA. November 9–15, 2018. V007T09A027. ASME. https://doi.org/10.1115/IMECE2018-86852
Download citation file:
8
Views
0
Citations
Related Proceedings Papers
Related Articles
3D CAD Based Conceptual Design of a Novel Aortic Valve Stent
J. Med. Devices (June,2009)
Computational Fluid Dynamics Analysis and Structural Safety Assessment of a Mitigation Device to Minimize Consequence of a Containment Bypass Nuclear Accident
J. Pressure Vessel Technol (April,2021)
Analysis of Gas-Liquid Cylindrical Cyclone Separator With Inlet Modifications Using Fluid–Structure Interaction
J. Energy Resour. Technol (April,2020)
Related Chapters
Conclusion
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow
3D Frame Structural Analysis Based on Imported Geometry at Preprocessing
International Conference on Mechanical and Electrical Technology 2009 (ICMET 2009)
Occlusion Identification and Relief within Branched Structures
Biomedical Applications of Vibration and Acoustics in Therapy, Bioeffect and Modeling