Considerations on the spring analogy

International Journal for Numerical Methods in Fluids

Volumn 32, Issue 6, 2000, Pages 647-668

  Blom, Frederic J ^a,b  

^a EPFL   (Switzerland)

^b NONE   (Netherlands)

Author keywords

Elliptic grid generation; Mesh deformation; Moving boundaries; Unstructured meshes

Indexed keywords

ASPECT RATIO; BOUNDARY CONDITIONS; DEFORMATION; FUNCTIONS; INVERSE PROBLEMS; ITERATIVE METHODS; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; SPRINGS (COMPONENTS); STIFFNESS;

ELLIPTIC GRID GENERATION; MESH DEFORMATION; MOVING BOUNDARIES; SEGMENT SPRINGS; UNSTRUCTURED MESHES; VERTEX SPRINGS;

COMPUTATIONAL FLUID DYNAMICS;

COMPUTATIONAL FLUID DYNAMICS; DEFORMATION; MATHEMATICAL METHOD;

EID: 0034161396     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0363(20000330)32:6<647::AID-FLD979>3.0.CO;2-K     Document Type: Article

References (16)

1. Batina JT. Unsteady Euler airfoil solutions using unstructured dynamic meshes. AIAA Journal 1990; 28(8): 1381-1388.
2. Slikkeveer PJ, van Loohuizen EP, O'Brien SBG. An implicit surface tension algorithm for Picard solvers of surface-tension-dominated free and moving boundary problems. International Journal for Numerical Methods in Fluids 1996; 22: 851-865.
3. Hassan O, Probert EJ, Morgan K. Unstructured mesh procedures for the simulation of three-dimensional transient compressible inviscid flows with moving boundary components. International Journal for Numerical Methods in Fluids 1998; 27: 41-55.
4. Blom FJ, Leyland P. Analysis of fluid-structure interaction on moving airfoils by means of an improved ALE method. AIAA Paper 97-1770, 1997.
5. Farhat C, Lesoinne M, Maman N. Mixed explicit/implicit time integration of coupled aeroelastic problems: three-field formulation, geometric conservation and distributed solution. International Journal for Numerical Methods in Fluids 1995; 21: 807-835.
6. Piperno S. Explicit/implicit fluid/structure staggered procedures with a structural prediction and fluid subcycling for 2D inviscid aeroelastic simulations. International Journal for Numerical Methods in Fluids 1997; 25: 1207-1226.
7. Nakahashi K, Deiwert GS. Three-dimensional adaptive grid method. AIAA Journal 1986; 24(6): 948-954.
8. Grüber B, Carstens V. Computation of the unsteady transonic flow in harmonically oscillating turbine cascades taking into account viscous effects. ASME Journal of Turbomachinery 1998; 120(1): 104-111.
9. Schulze S. Transonic aeroelastic simulation of a flexible wing section. AGARD Structures and Materials Panel Workshop on Numerical Unsteady Aerodynamics and Aeroelastic Simulation, AGARD R-822, Aalborg, Denmark, 13-17 October 1997; 10:1-10:20.
10. Richter R, Leyland P. Entropy correcting schemes and non-hierarchical auto-adaptive dynamic finite element type meshes: applications to unsteady aerodynamics. International Journal for Numerical Methods in Fluids 1995; 20(6): 853-868.
11. Weatherhill NP, Gaither KP, Gaither JA. Building unstructured grids for computational fluid dynamics. Computational Fluid Dynamics Journal 1995; 4(1): 1-28.
12. Fosdick LD, Jessup ER, Schauble CJC, Domik G. An Introduction to High-Performance Scientific Computing. MIT Press: Cambridge, MA, 1996.
13. Sears FW, Zemansky MW, Young HD. College Physics, 5th edn. Addison-Wesley: Reading, MA, 1980.
14. Carstens V. Two-dimensional elliptic grid generation for airfoils and cascades. Technical Report DFVLR-FB 88-52, DLR, 1988.
15. Palmerio B. An attraction-repulsion mesh adaption model for flow solution on unstructured grids. Computers and Fluids 1994; 23(3): 487-506.
16. Farhat C, Degand C, Koobus B, Lesoinne M. Torsional springs for two-dimensional dynamic unstructured fluid meshes. Computer Methods in Applied Mechanics and Engineering 1998; 163: 231-245.