Modelling and simulation of fluid structure interaction by meshfree and FEM

Communications in Numerical Methods in Engineering

Volumn 19, Issue 8, 2003, Pages 615-621

  Zhang, Lucy T ^a   Wagner, Gregory J ^a   Liu, Wing K ^a  

^a Northwestern University   (United States)

Author keywords

ALE; Boundary conditions; CFD; Parallel meshfree methods

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL FLUID DYNAMICS; FINITE ELEMENT METHOD; HIERARCHICAL SYSTEMS; LAGRANGE MULTIPLIERS; PROBLEM SOLVING;

PARALLEL CODE;

FLUID STRUCTURE INTERACTION;

COMPUTATIONAL FLUID DYNAMICS; EULERIAN-LAGRANGIAN ALGORITHM; FINITE ELEMENT METHOD; FLOW AROUND OBJECT; FLUID-STRUCTURE INTERACTION;

EID: 0042326137     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/cnm.612     Document Type: Article

References (18)

1. Liu WK, Chen Y. Wavelet and multiple scale reproducing kernel methods. International Journal for Numerical Methods in Fluids 1995; 21:901-931.
2. Liu WK, Jun S, and Zhang YF. Reproducing kernel particle methods. International Journal for Numerical Methods in Fluids 1995; 20:1081-1106.
3. Beissel S, Belytschko T. Nodal integration of the element-free Galerkin method. Computer Methods in Applied Mechanics and Engineering 1996; 139:49-74.
4. Babuska I, Melenk JM. The partition of unity finite element method. Technical Note BN-1185, University of Maryland, 1995.
5. Gingold R, Monaghan J. Kernel estimates as a basis for general particle methods in hydronomics. Journal of Computational Physics 1982; 46:429.
6. Christon MA, Voth TE. Results for von neumann analyses for reproducing kernel semi-discretizations. International Journal for Numerical Methods in Engineering 2000; 47:1285-1301.
7. Günther FC. A Meshfree Formulation for the Numerical Solution of the Viscous. Compressible Navier-Stokes Equations. Ph.D. thesis, Northwestern University, June 1998.
8. Wagner GJ. A multi-scale approach to large eddy simulation via rkpm. Master's thesis, Northwestern University, May 1999.
9. Wagner GJ, Liu WK. Application of essential boundary conditions in meshfree methods: a corrected collocation method. International Journal for Numerical Methods in Engineering 2000; 47:1367-1379.
10. Wagner GJ, Liu WK. Hierarchical enrichment for bridging scales and meshfree boundary conditions. International Journal for Numerical Methods in Engineering 2000; 50:507-524.
11. Zhang LT, Wagner GJ, and Liu WK. A parallelized meshfree method with boundary enrichment for large-scale cfd. Journal of Computational Physics 2002; 176:483-506.
12. Brooks AN, Hughes TJR. Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Computer Methods in Applied Mechanics and Engineering 1982; 32:199-259.
13. Hughes TJR, Franca LP. A new finite element formulation for computational fluid dynamics: VII. The Stokes problem with various well-posed boundary conditions: symmetric formulations that converge for all velocity/pressure spaces. Computer Methods in Applied Mechanics and Engineering 1987; 65:85-96.
14. Hughes TR, Francs LP, and Balestra M. A new finite element formulation for computational fluid dynamics: V. Circumventing the babuska-brezzi condition: A stable petrov-galerkin formulation of the stokes problem accomodating equal-order interpolations. Computer Methods in Applied Mechanics and Engineering 1986; 59:85-99.
15. Liu WK, Uras RA, and Chen Y. Enrichment of the finite element method with the reproducing kernel particle method. Journal of Applied Mechanics, ASME 1997; 64:861-870.
16. Han W, Wagner GJ, and Liu WK. Convergence analysis of a hierarchical enrichment of dirichlet boundary condition in a meshfree method. International Journal for Numerical Methods in Engineering 2002; 53: 1323-1336.
17. Bar-Lev M, Yang HT. Initial flow field over an impulsively started circular cylinder. Journal of Fluid Mechanics 1975; 72:625-647.
18. Collins WM, Dennis SCR. Flow past an impulsively started circular cylinder. Journal of Fluid Mechanics 1973; 60:105-127.