On the geometric conservation law in transient flow calculations on deforming domains

International Journal for Numerical Methods in Fluids

Volumn 50, Issue 12, 2006, Pages 1369-1379

  Forster Ch ^a   Wall, W A ^b   Ramm, E ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

^b TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

ALE; Deforming domain; DGCL; GCL; Second order time accuracy; Time discretization

Indexed keywords

COMPUTATIONAL GEOMETRY; FINITE ELEMENT METHOD; INCOMPRESSIBLE FLOW; INTEGRATION; NAVIER STOKES EQUATIONS;

FLOW CALCULATIONS; FLOW EQUATIONS; GEOMETRIC CONSERVATION LAW; SECOND-ORDER TIME ACCURACY; TIME DISCRETIZATION; TRANSIENT FLOW;

COMPUTATIONAL FLUID DYNAMICS;

COMPUTATIONAL FLUID DYNAMICS; COMPUTATIONAL GEOMETRY; FINITE ELEMENT METHOD; INCOMPRESSIBLE FLOW; INTEGRATION; NAVIER STOKES EQUATIONS;

EID: 33645976872     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1093     Document Type: Article

References (13)

1. Huerta A, Rodriguez-Ferran A (eds). The arbitrary Lagrangian-Eulerian formulation. Computer Methods in Applied Mechanics and Engineering 2000; 193(39-41):4073-4456 (special issue).
2. Guillard H, Farhat C. On the significance of the geometric conservation law for flow computations on moving meshes. Computer Methods in Applied Mechanics and Engineering 2000; 190(11-12):1467-1482.
3. Farhat C, Geuzaine P, Grandmont C. The discrete geometric conservation law and the nonlinear stability of ALE schemes for the solution of flow problems on moving grids. Journal of Computational Physics 2001; 174(2):669-694.
4. Boffi D, Gastaldi L. Stability and geometric conservation laws for ALE formulations. Computer Methods in Applied Mechanics and Engineering 2004; 193(42-44):4717-4739.
5. Wall WA. Fluid-Struktur-Interaktion mit stabilisierten Finiten Elementen. Ph.D. Thesis, Institute of Structural Mechanics, University of Stuttgart, 1999.
6. Geuzaine P, Grandmont C, Farhat C. Design and analysis of ALE schemes with provable second-order time-accuracy for inviscid and viscous flow simulations. Journal of Computational Physics 2003; 191(1):206-227.
7. Farhat C, Geuzaine P. Design and analysis of robust ALE time-integrators for the solution of unsteady flow problems on moving grids. Computer Methods in Applied Mechanics and Engineering 2004; 193(39-41): 4073-4095.
8. Koobus B, Farhat C. Second-order time-accurate and geometrically conservative implicit schemes for flow computations on unstructured dynamic meshes. Computer Methods in Applied Mechanics and Engineering 1999; 170(1-2):103-129.
9. Donea J, Huerta A. Finite Element Methods for Flow Problems. Wiley: Chichester, 2003.
10. Marsden JE, Hughes TJR. Mathematical Foundations of Elasticity. Prentice-Hall: Englewood Cliffs, NJ, 1983.
11. Franca LP, Valentin F. On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation. Computer Methods in Applied Mechanics and Engineering 2000; 190(13-14):1785-1800.
12. Franca LP, Farhat C. Bubble functions prompt unusual stabilized finite element methods. Computer Methods in Applied Mechanics and Engineering 1995; 123(1-4):299-308.
13. Jansen EK, Collis SS, Whiting C, Shakib F. A better consistency for low-order stabilized finite element methods. Computer Methods in Applied Mechanics and Engineering 1999; 174(1-2):153-170.