×

Shear-slip mesh update in 3D computation of complex flow problems with rotating mechanical components. (English) Zbl 1012.76042

Summary: We present a three-dimensional computational technique for simulation of complex, real-world flow problems with fast-rotating mechanical components. This technique is based on the deformable-spatial-domain/stabilized space-time (DSD/SST) formulation, shear-slip mesh update method (SSMUM), and on an efficient parallel implementation for distributed-memory parallel computing platforms. The DSD/SST formulation was developed earlier for flow problems with moving boundaries and interfaces, including flows with moving mechanical components. The DSD/SST formulation requires, as a companion method, an effective mesh update strategy, especially in complex flow problems. The SSMUM was developed to meet the mesh update requirements in simulation of flow problems with fast translations, and recently, with a new version of SSMUM, fast rotations. As an example of simulations that can be carried out by this technique, we present computation of flow around a helicopter with its rotor in motion.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
76U05 General theory of rotating fluids
65Y05 Parallel numerical computation
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Tezduyar, T.E.; Behr, M.; Liou, J., A new strategy for finite element computations involving moving boundaries and interfaces – the deforming-spatial-domain/space-time procedure: I. the concept and the preliminary tests, Comput. methods appl. mech. engrg., 94, 339-351, (1992) · Zbl 0745.76044
[2] Tezduyar, T.E.; Behr, M.; Mittal, S.; Liou, J., A new strategy for finite element computations involving moving boundaries and interfaces – the deforming-spatial-domain/space-time procedure: II. computation of free-surface flows, two-liquid flows, and flows with drifting cylinders, Comput. methods appl. mech. engrg., 94, 353-371, (1992) · Zbl 0745.76045
[3] T.E. Tezduyar, S. Aliabadi, M. Behr, Enhanced-discretization interface-capturing technique, in: Y. Matsumoto, A. Prosperetti (Eds.), Proceedings of the ISAC’97 High Performance Computing on Multiphase Flows, vols. 1-6, Japan Society of Mechanical Engineers, 1997 · Zbl 0961.76046
[4] Tezduyar, T.E.; Aliabadi, S.; Behr, M.; Johnson, A.; Kalro, V.; Litke, M., Flow simulation and high performance computing, Comput. mech., 18, 397-412, (1996) · Zbl 0893.76046
[5] M. Behr, T.E. Tezduyar, A note on shear-slip mesh update method, in: Lecture Notes of the Workshop on Parallel Computing in Applied Fluid Mechanics, Associazione Amici Scuola Normale Superiore, Pisa, Italy, 1997
[6] M. Behr, T.E. Tezduyar, Shear-slip mesh update method, Comput. Methods Appl. Mech. Engrg 174 (1999) 261-274 · Zbl 0959.76037
[7] C. Kato, M. Ikegawa, Large eddy simulation of unsteady turbulent wake of a circular cylinder using the finite element method, in: I. Celik, T. Kobayashi, K.N. Ghia, J. Kurokawa (Eds.), Advances in Numerical Simulation of Turbulent Flows, FED-Vol. 117, ASME, New York, 1991, pp. 49-56
[8] Smagorinsky, J., General circulation experiments with the primitive equations, Monthly weather rev., 91, 99-165, (1963)
[9] Behr, M.; Tezduyar, T.E., Finite element solution strategies for large-scale flow simulations, Comput. methods appl. mech. engrg., 112, 3-24, (1994) · Zbl 0846.76041
[10] Saad, Y.; Schultz, M., GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. scientific statist. comput., 7, 856-869, (1986) · Zbl 0599.65018
[11] A.A. Johnson, T.E. Tezduyar, Mesh generation and update strategies for parallel computation of 3D flow problems, in: Computational Mechanics’95, Proceedings of International Conference on Computational Engineering Science, Mauna Lani, Hawaii, 1995
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.