The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
A stabilized finite element method for the incompressible Navier-Stokes equations using a hierarchical basis
Abstract
Stabilized finite element methods have been shown to yield robust, accurate numerical solutions to both the compressible and incompressible Navier–Stokes equations for laminar and turbulent flows. The present work focuses on the application of higher-order, hierarchical basis functions to the incompressible Navier–Stokes equations using a stabilized finite element method. It is shown on a variety of problems that the most cost-effective simulations (in terms of CPU time, memory, and disk storage) can be obtained using higher-order basis functions when compared with the traditional linear basis. In addition, algorithms will be presented for the efficient implementation of these methods within the traditional finite element data structures. Copyright © 2001 John Wiley & Sons, Ltd.
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Cites
Iterative Methods for Sparse Linear Systems
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The finite element method. Linear static and dynamic finite element analysis
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The Finite Element Method: Linear Static and Dynamic Finite Element Analysis
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High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
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Self-citationStabilized finite element methods: II. The incompressible Navier-Stokes equations
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Metadata
- Authors
- Whiting, C. H., & Jansen, K. E.
- Venue
- International Journal for Numerical Methods in Fluids
- Publisher
- Wiley
- Published
- 2001
- Volume
- 35
- Issue
- 1
- Pages
- 93-116
- ISSN
- 0271-2091 (ISSN-L)
- 1097-0363
- DOI
- 10.1002/1097-0363(20010115)35:1
- OpenAlex
- W2062299875
- Cited by
- 300
- References
- 15
- FWCI
- 6.48
- Type
- journal article
- Language
- en
- Open access
- closed
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- Whiting, C. H., & Jansen, K. E. (2001). A stabilized finite element method for the incompressible Navier-Stokes equations using a hierarchical basis. International Journal for Numerical Methods in Fluids. https://doi.org/10.1002/1097-0363(20010115)35%3A1
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